{"id":3377,"date":"2025-06-07T07:35:53","date_gmt":"2025-06-07T07:35:53","guid":{"rendered":"https:\/\/diznr.com\/?p=3377"},"modified":"2025-06-07T07:35:53","modified_gmt":"2025-06-07T07:35:53","slug":"general-aptitude-for-gate-in-hindi-for-cseit-percentage-base-change-concept-application-with","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/general-aptitude-for-gate-in-hindi-for-cseit-percentage-base-change-concept-application-with\/","title":{"rendered":"General Aptitude for GATE In Hindi for CSEIT &#8211; Percentage &#8211; Base Change Concept With application"},"content":{"rendered":"<p>General Aptitude for GATE In Hindi for CSEIT &#8211; Percentage &#8211; Base Change Concept With application<\/p>\n<p>[fvplayer id=&#8221;377&#8243;]<\/p>\n<h3 data-start=\"0\" data-end=\"99\"><strong data-start=\"3\" data-end=\"97\">\u00a0GATE General Aptitude in Hindi (CSE\/IT) \u2013 Percentage: Base Change Concept &amp; Application<\/strong><\/h3>\n<p data-start=\"101\" data-end=\"371\"><strong data-start=\"101\" data-end=\"125\">\u092a\u094d\u0930\u0924\u093f\u0936\u0924 (Percentage)<\/strong> \u0917\u0923\u093f\u0924 \u0915\u093e \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u091f\u0949\u092a\u093f\u0915 \u0939\u0948, \u091c\u094b <strong data-start=\"161\" data-end=\"196\">GATE \u0915\u0947 General Aptitude \u0938\u0947\u0915\u094d\u0936\u0928<\/strong> \u092e\u0947\u0902 \u0905\u0915\u094d\u0938\u0930 \u092a\u0942\u091b\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 <strong data-start=\"221\" data-end=\"269\">Base Change Concept (\u0906\u0927\u093e\u0930 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0938\u0902\u0915\u0932\u094d\u092a\u0928\u093e)<\/strong> \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u092e\u0947\u0902 \u0905\u0915\u094d\u0938\u0930 \u091b\u093e\u0924\u094d\u0930 \u0917\u0932\u0924\u0940 \u0915\u0930 \u092c\u0948\u0920\u0924\u0947 \u0939\u0948\u0902, \u0907\u0938\u0932\u093f\u090f \u0907\u0938\u0947 \u0938\u0939\u0940 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0938\u092e\u091d\u0928\u093e \u092c\u0939\u0941\u0924 \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948\u0964<\/p>\n<h3 data-start=\"378\" data-end=\"446\"><strong data-start=\"381\" data-end=\"444\">\u00a01. Base Change Concept (\u0906\u0927\u093e\u0930 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0938\u0902\u0915\u0932\u094d\u092a\u0928\u093e) \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h3>\n<p data-start=\"447\" data-end=\"664\"><strong data-start=\"450\" data-end=\"526\">Base (\u0906\u0927\u093e\u0930) \u0935\u0939 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964<\/strong><br data-start=\"526\" data-end=\"529\" \/>\u00a0\u0915\u0908 \u092c\u093e\u0930 \u0915\u093f\u0938\u0940 \u092e\u0942\u0932\u094d\u092f \u092e\u0947\u0902 <strong data-start=\"554\" data-end=\"571\">\u0935\u0943\u0926\u094d\u0927\u093f \u092f\u093e \u0915\u092e\u0940<\/strong> \u0939\u094b\u0928\u0947 \u092a\u0930 <strong data-start=\"580\" data-end=\"600\">Base \u092c\u0926\u0932 \u091c\u093e\u0924\u093e \u0939\u0948<\/strong>\u0964<br data-start=\"601\" data-end=\"604\" \/><strong data-start=\"607\" data-end=\"662\">Base \u092c\u0926\u0932\u0928\u0947 \u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u093e \u0924\u0930\u0940\u0915\u093e \u092c\u0926\u0932 \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/p>\n<p data-start=\"666\" data-end=\"705\"><strong data-start=\"669\" data-end=\"703\">Formula for Percentage Change:<\/strong><\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Percentage\u00a0Change=(Change\u00a0in\u00a0ValueNew\u00a0or\u00a0Old\u00a0Base\u00a0Value)\u00d7100\\text{Percentage Change} = \\left( \\frac{\\text{Change in Value}}{\\text{New or Old Base Value}} \\right) \\times 100<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Percentage\u00a0Change<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord text\">New\u00a0or\u00a0Old\u00a0Base\u00a0Value<\/span><span class=\"mord text\">Change\u00a0in\u00a0Value<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"827\" data-end=\"834\">\u092f\u0939\u093e\u0901,<\/p>\n<ul data-start=\"835\" data-end=\"967\">\n<li data-start=\"835\" data-end=\"912\">\u092f\u0926\u093f <strong data-start=\"841\" data-end=\"863\">Base \u092a\u0941\u0930\u093e\u0928\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong> \u0939\u094b, \u0924\u094b \u0938\u093e\u092e\u093e\u0928\u094d\u092f <strong data-start=\"879\" data-end=\"901\">\u0935\u0943\u0926\u094d\u0927\u093f\/\u0915\u092e\u0940 \u092a\u094d\u0930\u0924\u093f\u0936\u0924<\/strong> \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<li data-start=\"913\" data-end=\"967\">\u092f\u0926\u093f <strong data-start=\"919\" data-end=\"937\">Base \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e<\/strong> \u0939\u094b, \u0924\u094b \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0905\u0932\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<h3 data-start=\"974\" data-end=\"1029\"><strong data-start=\"977\" data-end=\"1027\">\u00a02. Base Change Concept \u0915\u0947 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0909\u0926\u093e\u0939\u0930\u0923<\/strong><\/h3>\n<h3 data-start=\"1031\" data-end=\"1102\"><strong data-start=\"1035\" data-end=\"1100\">\u00a0Example 1: \u0935\u0943\u0926\u094d\u0927\u093f \u0914\u0930 \u0915\u092e\u0940 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0915\u094d\u092f\u094b\u0902 \u0939\u094b\u0924\u093e \u0939\u0948?<\/strong><\/h3>\n<p data-start=\"1103\" data-end=\"1251\">\u00a0\u0915\u093f\u0938\u0940 \u0935\u0938\u094d\u0924\u0941 \u0915\u0940 \u0915\u0940\u092e\u0924 \u20b9100 \u0925\u0940, \u091c\u093f\u0938\u0947 <strong data-start=\"1139\" data-end=\"1158\">20% \u092c\u0922\u093c\u093e\u0915\u0930 \u20b9120<\/strong> \u0915\u0930 \u0926\u093f\u092f\u093e \u0917\u092f\u093e\u0964<br data-start=\"1171\" data-end=\"1174\" \/>\u00a0\u0905\u092c, \u092f\u0926\u093f \u0907\u0938\u0947 \u092b\u093f\u0930 \u0938\u0947 <strong data-start=\"1196\" data-end=\"1213\">20% \u0918\u091f\u093e\u092f\u093e \u091c\u093e\u090f<\/strong>, \u0924\u094b \u0915\u094d\u092f\u093e \u0915\u0940\u092e\u0924 \u0935\u093e\u092a\u0938 \u20b9100 \u0939\u094b \u091c\u093e\u090f\u0917\u0940?<\/p>\n<p data-start=\"1253\" data-end=\"1301\"><strong data-start=\"1256\" data-end=\"1269\">Solution:<\/strong><br data-start=\"1269\" data-end=\"1272\" \/>\u00a0\u092a\u0939\u0932\u0947 <strong data-start=\"1280\" data-end=\"1294\">20% \u0935\u0943\u0926\u094d\u0927\u093f<\/strong> \u0939\u0941\u0908:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">New\u00a0Price=100+(20%\u00a0of\u00a0100)=100+20=\u20b9120\\text{New Price} = 100 + (20\\% \\text{ of } 100) = 100 + 20 = \u20b9120<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">New\u00a0Price<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">20%<\/span><span class=\"mord text\"><span class=\"mord\">\u00a0of\u00a0<\/span><\/span><span class=\"mord\">100<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">20<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u20b9120<\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"1377\" data-end=\"1427\">\u00a0\u0905\u092c <strong data-start=\"1383\" data-end=\"1397\">20% \u0915\u0940 \u0915\u092e\u0940<\/strong> \u20b9120 \u092a\u0930 \u0939\u094b\u0917\u0940, \u0928 \u0915\u093f \u20b9100 \u092a\u0930:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Decrease=(20%\u00a0of\u00a0120)=20100\u00d7120=\u20b924\\text{Decrease} = (20\\% \\text{ of } 120) = \\frac{20}{100} \\times 120 = \u20b924<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Decrease<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">20%<\/span><span class=\"mord text\"><span class=\"mord\">\u00a0of\u00a0<\/span><\/span><span class=\"mord\">120<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">10020<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">120<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u20b924<\/span><\/span><\/span><\/span><\/span> <span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Final\u00a0Price=120\u221224=\u20b996\\text{Final Price} = 120 &#8211; 24 = \u20b996<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Final\u00a0Price<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">120<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">24<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u20b996<\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"1556\" data-end=\"1687\">\u00a0\u0924\u094b \u092f\u0939\u093e\u0901 \u0905\u0902\u0924\u093f\u092e \u092e\u0942\u0932\u094d\u092f \u20b996 \u0939\u094b \u0917\u092f\u093e, \u0928 \u0915\u093f \u20b9100\u0964<br data-start=\"1601\" data-end=\"1604\" \/>\u00a0\u0907\u0938\u0932\u093f\u090f, \u0935\u0943\u0926\u094d\u0927\u093f \u0914\u0930 \u0915\u092e\u0940 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0915\u094d\u092f\u094b\u0902\u0915\u093f <strong data-start=\"1664\" data-end=\"1685\">Base \u092c\u0926\u0932 \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/p>\n<p data-start=\"1556\" data-end=\"1687\"><strong data-start=\"1698\" data-end=\"1752\">\u00a0Example 2: \u0935\u0943\u0926\u094d\u0927\u093f \u0914\u0930 \u0915\u092e\u0940 \u0915\u0947 \u0932\u093f\u090f \u0905\u0932\u0917-\u0905\u0932\u0917 \u092a\u094d\u0930\u0924\u093f\u0936\u0924<\/strong><\/p>\n<p data-start=\"1755\" data-end=\"1890\">\u0915\u093f\u0938\u0940 \u0935\u0938\u094d\u0924\u0941 \u0915\u0940 \u0915\u0940\u092e\u0924 \u20b9500 \u0938\u0947 <strong data-start=\"1785\" data-end=\"1799\">30% \u092c\u0922\u093c\u093e\u0915\u0930<\/strong> \u20b9650 \u0915\u0930 \u0926\u0940 \u0917\u0908\u0964<br data-start=\"1814\" data-end=\"1817\" \/>\u00a0\u0905\u092c, \u092f\u0926\u093f \u0907\u0938\u0947 \u20b9500 \u092a\u0930 \u0935\u093e\u092a\u0938 \u0932\u093e\u0928\u093e \u0939\u094b, \u0924\u094b \u0915\u093f\u0924\u0928\u0947 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0915\u0940 \u0915\u092e\u0940 \u0915\u0930\u0928\u0940 \u0939\u094b\u0917\u0940?<\/p>\n<p data-start=\"1892\" data-end=\"1943\"><strong data-start=\"1895\" data-end=\"1908\">Solution:<\/strong><br data-start=\"1908\" data-end=\"1911\" \/>\u00a0\u092a\u0939\u0932\u0947 <strong data-start=\"1919\" data-end=\"1936\">30% \u0915\u0940 \u0935\u0943\u0926\u094d\u0927\u093f<\/strong> \u0939\u0941\u0908:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">New\u00a0Price=500+(30%\u00a0of\u00a0500)=500+150=\u20b9650\\text{New Price} = 500 + (30\\% \\text{ of } 500) = 500 + 150 = \u20b9650<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">New\u00a0Price<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">500<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">30%<\/span><span class=\"mord text\"><span class=\"mord\">\u00a0of\u00a0<\/span><\/span><span class=\"mord\">500<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">500<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">150<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u20b9650<\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"2020\" data-end=\"2083\">\u00a0\u0905\u092c <strong data-start=\"2026\" data-end=\"2054\">\u0915\u092e\u0940 \u20b9650 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0939\u094b\u0917\u0940<\/strong>, \u0924\u093e\u0915\u093f \u0905\u0902\u0924\u093f\u092e \u092e\u0942\u0932\u094d\u092f \u20b9500 \u0906\u090f:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Decrease\u00a0Percentage=(650\u2212500650)\u00d7100\\text{Decrease Percentage} = \\left( \\frac{650 &#8211; 500}{650} \\right) \\times 100<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Decrease\u00a0Percentage<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">650650<span class=\"mbin\">\u2212<\/span>500<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><\/span><\/span><\/span><\/span> <span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">=(150650)\u00d7100=23.08%= \\left( \\frac{150}{650} \\right) \\times 100 = 23.08\\%<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">650150<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">23.08%<\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"2232\" data-end=\"2379\">\u00a0\u092f\u093e\u0928\u0940, <strong data-start=\"2241\" data-end=\"2313\">30% \u0915\u0940 \u0935\u0943\u0926\u094d\u0927\u093f \u0915\u094b \u0935\u093e\u092a\u0938 \u0932\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f 23.08% \u0915\u0940 \u0915\u092e\u0940 \u0915\u0930\u0928\u0940 \u0939\u094b\u0917\u0940, \u0928 \u0915\u093f 30%\u0964<\/strong><br data-start=\"2313\" data-end=\"2316\" \/>\u00a0\u0907\u0938\u0915\u093e \u0915\u093e\u0930\u0923 \u0939\u0948 \u0915\u093f \u0935\u0943\u0926\u094d\u0927\u093f \u0914\u0930 \u0915\u092e\u0940 \u0915\u093e <strong data-start=\"2352\" data-end=\"2377\">Base \u0905\u0932\u0917-\u0905\u0932\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><\/p>\n<h3 data-start=\"2386\" data-end=\"2437\"><strong data-start=\"2389\" data-end=\"2435\">\u00a03. Successive Percentage Change Formula<\/strong><\/h3>\n<p data-start=\"2438\" data-end=\"2559\">\u00a0\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 \u092a\u0939\u0932\u0947 <strong data-start=\"2466\" data-end=\"2482\">x% \u0915\u0940 \u0935\u0943\u0926\u094d\u0927\u093f<\/strong> \u0914\u0930 \u092b\u093f\u0930 <strong data-start=\"2490\" data-end=\"2503\">y% \u0915\u0940 \u0915\u092e\u0940<\/strong> \u0939\u094b, \u0924\u094b \u0915\u0941\u0932 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0907\u0938 \u092b\u093e\u0930\u094d\u092e\u0942\u0932\u0947 \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948:<\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Total\u00a0Change=x\u2212y+(x\u00d7y100)\\text{Total Change} = x &#8211; y + \\left( \\frac{x \\times y}{100} \\right)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Total\u00a0Change<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">y<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">100<span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mord mathnormal\">y<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"2636\" data-end=\"2698\">(+) \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0935\u0943\u0926\u094d\u0927\u093f \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948, \u091c\u092c\u0915\u093f (-) \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0915\u092e\u0940 \u0915\u094b\u0964<\/p>\n<p data-start=\"2700\" data-end=\"2810\"><strong data-start=\"2702\" data-end=\"2714\">Example:<\/strong><br data-start=\"2714\" data-end=\"2717\" \/>\u00a0\u0915\u093f\u0938\u0940 \u0935\u0938\u094d\u0924\u0941 \u0915\u0940 \u0915\u0940\u092e\u0924 \u092a\u0939\u0932\u0947 <strong data-start=\"2744\" data-end=\"2757\">40% \u092c\u0922\u093c\u093e\u0908<\/strong> \u0914\u0930 \u092b\u093f\u0930 <strong data-start=\"2765\" data-end=\"2777\">25% \u0918\u091f\u093e\u0908<\/strong> \u0917\u0908\u0964 \u0924\u094b \u0915\u0941\u0932 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e?<\/p>\n<p data-start=\"2812\" data-end=\"2830\"><strong data-start=\"2815\" data-end=\"2828\">Solution:<\/strong><\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Total\u00a0Change=40\u221225+(40\u00d7(\u221225)100)\\text{Total Change} = 40 &#8211; 25 + \\left( \\frac{40 \\times (-25)}{100} \\right)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Total\u00a0Change<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">40<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">25<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">10040<span class=\"mbin\">\u00d7<\/span><span class=\"mopen\">(<\/span>\u221225<span class=\"mclose\">)<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span> <span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">=40\u221225\u221210=5%= 40 &#8211; 25 &#8211; 10 = 5\\%<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">40<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">25<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">10<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">5%<\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"2944\" data-end=\"2993\">\u00a0\u092f\u093e\u0928\u0940, \u0905\u0902\u0924\u093f\u092e \u092e\u0942\u0932\u094d\u092f \u092e\u0947\u0902 <strong data-start=\"2969\" data-end=\"2990\">5% \u0915\u0940 \u0935\u0943\u0926\u094d\u0927\u093f \u0939\u094b\u0917\u0940<\/strong>\u0964<\/p>\n<h3 data-start=\"3000\" data-end=\"3053\"><strong data-start=\"3003\" data-end=\"3051\">\u00a04. GATE \u092e\u0947\u0902 Base Change Concept \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928<\/strong><\/h3>\n<p data-start=\"3055\" data-end=\"3154\"><strong data-start=\"3057\" data-end=\"3064\">1:<\/strong> \u0915\u093f\u0938\u0940 \u091b\u093e\u0924\u094d\u0930 \u0915\u0947 \u0905\u0902\u0915 500 \u0938\u0947 \u092c\u0922\u093c\u0915\u0930 600 \u0939\u094b \u0917\u090f\u0964 \u0935\u0943\u0926\u094d\u0927\u093f \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902\u0964<br data-start=\"3133\" data-end=\"3136\" \/><strong data-start=\"3139\" data-end=\"3152\">Solution:<\/strong><\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Percentage\u00a0Increase=(600\u2212500500)\u00d7100=100500\u00d7100=20%\\text{Percentage Increase} = \\left( \\frac{600 &#8211; 500}{500} \\right) \\times 100 = \\frac{100}{500} \\times 100 = 20\\%<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Percentage\u00a0Increase<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">500600<span class=\"mbin\">\u2212<\/span>500<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">500100<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">20%<\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"3277\" data-end=\"3424\"><strong data-start=\"3279\" data-end=\"3286\">Q2:<\/strong> \u0915\u093f\u0938\u0940 \u0917\u093e\u0901\u0935 \u0915\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e 10,000 \u0938\u0947 12,000 \u0939\u094b \u0917\u0908\u0964 \u092f\u0926\u093f \u0907\u0938\u0947 \u092b\u093f\u0930 \u0938\u0947 10,000 \u092a\u0930 \u0932\u093e\u0928\u093e \u0939\u094b, \u0924\u094b \u0915\u093f\u0924\u0928\u0947 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0915\u0940 \u0915\u092e\u0940 \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u094b\u0917\u0940?<br data-start=\"3403\" data-end=\"3406\" \/><strong data-start=\"3409\" data-end=\"3422\">Solution:<\/strong><\/p>\n<p><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Percentage\u00a0Decrease=(12000\u22121000012000)\u00d7100=200012000\u00d7100=16.67%\\text{Percentage Decrease} = \\left( \\frac{12000 &#8211; 10000}{12000} \\right) \\times 100 = \\frac{2000}{12000} \\times 100 = 16.67\\%<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord text\"><span class=\"mord\">Percentage\u00a0Decrease<\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size3\">(<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">1200012000<span class=\"mbin\">\u2212<\/span>10000<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size3\">)<\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">120002000<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">16.67%<\/span><\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"3564\" data-end=\"3611\"><strong data-start=\"3567\" data-end=\"3609\">\u00a05. Key Takeaways (\u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092c\u093e\u0924\u0947\u0902)<\/strong><\/h3>\n<p data-start=\"3612\" data-end=\"3876\"><strong data-start=\"3615\" data-end=\"3661\">Base \u092c\u0926\u0932\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0915\u0940 \u0917\u0923\u0928\u093e \u092d\u0940 \u092c\u0926\u0932\u0924\u0940 \u0939\u0948\u0964<\/strong><br data-start=\"3661\" data-end=\"3664\" \/><strong data-start=\"3667\" data-end=\"3734\">V% \u0935\u0943\u0926\u094d\u0927\u093f \u0915\u094b \u0935\u093e\u092a\u0938 \u0932\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0918\u091f\u093e\u0935 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0939\u092e\u0947\u0936\u093e \u0915\u092e \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><br data-start=\"3734\" data-end=\"3737\" \/><strong data-start=\"3740\" data-end=\"3795\">Successive Percentage Change Formula \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0947\u0902\u0964<\/strong><br data-start=\"3795\" data-end=\"3798\" \/><strong data-start=\"3801\" data-end=\"3874\">GATE, SSC, \u092c\u0948\u0902\u0915\u093f\u0902\u0917 \u0914\u0930 CAT \u091c\u0948\u0938\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e\u0913\u0902 \u092e\u0947\u0902 \u092f\u0939 \u091f\u0949\u092a\u093f\u0915 \u092c\u0947\u0939\u0926 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948\u0964<\/strong><\/p>\n<h3 data-start=\"3883\" data-end=\"3970\"><strong data-start=\"3886\" data-end=\"3968\">\u00a06. GATE \u092e\u0947\u0902 Percentage \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092a\u0942\u091b\u0947 \u0917\u090f \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0924\u0948\u092f\u093e\u0930\u0940 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902?<\/strong><\/h3>\n<p data-start=\"3971\" data-end=\"4196\"><strong data-start=\"3973\" data-end=\"4015\">\u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0915\u093e \u092c\u0947\u0938\u093f\u0915 \u0915\u093e\u0902\u0938\u0947\u092a\u094d\u091f \u0915\u094d\u0932\u093f\u092f\u0930 \u0915\u0930\u0947\u0902\u0964<\/strong><br data-start=\"4015\" data-end=\"4018\" \/><strong data-start=\"4020\" data-end=\"4074\">\u0905\u0932\u0917-\u0905\u0932\u0917 Base \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0948\u0915\u094d\u091f\u093f\u0938 \u0915\u0930\u0947\u0902\u0964<\/strong><br data-start=\"4074\" data-end=\"4077\" \/><strong data-start=\"4079\" data-end=\"4136\">Successive Percentage Change \u0915\u0947 \u092b\u093e\u0930\u094d\u092e\u0942\u0932\u0947 \u0915\u094b \u092f\u093e\u0926 \u0915\u0930\u0947\u0902\u0964<\/strong><br data-start=\"4136\" data-end=\"4139\" \/><strong data-start=\"4141\" data-end=\"4194\">Mock Tests \u0914\u0930 Previous Year Questions Solve \u0915\u0930\u0947\u0902\u0964<\/strong><\/p>\n<p data-start=\"4198\" data-end=\"4264\" data-is-last-node=\"\" data-is-only-node=\"\">\u00a0<strong data-start=\"4201\" data-end=\"4261\">\u0915\u094d\u092f\u093e \u0906\u092a \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0940 PDF \u092f\u093e \u0935\u0940\u0921\u093f\u092f\u094b \u0932\u0947\u0915\u094d\u091a\u0930 \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902?<\/strong><\/p>\n<h3 data-start=\"4198\" data-end=\"4264\"><a href=\"https:\/\/www.iitiansgateclasses.com\/Document\/igc-gate_aptitude-percentage.pdf\" target=\"_blank\" rel=\"noopener\">General Aptitude for GATE In Hindi for CSEIT &#8211; Percentage &#8211; Base Change Concept With application<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/mrcet.com\/downloads\/digital_notes\/EEE\/EDC%20Lecture%20Notes.pdf\" target=\"_blank\" rel=\"noopener\">ELECTRONIC DEVICES &amp; CIRCUITS II B.TECH I &#8230;<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"http:\/\/www.ipu.ac.in\/Adm2024brs\/adm24brUG310124.pdf\" target=\"_blank\" rel=\"noopener\">Admission Brochure &#8211; UG Programmes<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>General Aptitude for GATE In Hindi for CSEIT &#8211; Percentage &#8211; Base Change Concept With application [fvplayer id=&#8221;377&#8243;] \u00a0GATE General Aptitude in Hindi (CSE\/IT) \u2013 Percentage: Base Change Concept &amp; Application \u092a\u094d\u0930\u0924\u093f\u0936\u0924 (Percentage) \u0917\u0923\u093f\u0924 \u0915\u093e \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u091f\u0949\u092a\u093f\u0915 \u0939\u0948, \u091c\u094b GATE \u0915\u0947 General Aptitude \u0938\u0947\u0915\u094d\u0936\u0928 \u092e\u0947\u0902 \u0905\u0915\u094d\u0938\u0930 \u092a\u0942\u091b\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 Base Change Concept (\u0906\u0927\u093e\u0930 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 [&hellip;]<\/p>\n","protected":false},"author":66,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-3377","post","type-post","status-publish","format-standard","hentry","category-general-aptitude"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3377","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=3377"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3377\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3377"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3377"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3377"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}