{"id":6040,"date":"2025-06-09T17:35:38","date_gmt":"2025-06-09T17:35:38","guid":{"rendered":"https:\/\/thecompanyboy.com\/?p=6040"},"modified":"2025-06-09T17:35:38","modified_gmt":"2025-06-09T17:35:38","slug":"rs-aggarwal-quantitative-aptitude-pdf-free-download-graphs-bar","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/drive\/rs-aggarwal-quantitative-aptitude-pdf-free-download-graphs-bar\/","title":{"rendered":"RS Aggarwal Quantitative Aptitude PDF Free Download: BAR GRAPHS"},"content":{"rendered":"

BAR\u00a0\u00a0 GRAPHS<\/strong><\/h1>\n

 <\/p>\n

this section comprises of questions in which the data collected in a particular discipline are represented in the form of vertical or horizontal bars drawn by selecting a particular scale.one of the parameters is plotted\u00a0\u00a0 on the horizontal axis and the other on the vertical\u00a0 axis . the candidate is required to understand\u00a0 the given information\u00a0 and thereafetr answer the given questions on the basis of data analysis.<\/p>\n

\u00a0<\/strong><\/p>\n

1.The bar graph given below\u00a0 shows the foreign exchange reserves of a country<\/strong><\/p>\n

\u00a0(in million us$)<\/strong><\/p>\n

from 1991-92 to 1998-99 .answer the questions based <\/strong><\/p>\n

on this graph.<\/strong><\/p>\n

\u00a0<\/em><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em>FOREIGN EXCHANGE RESERVES OF A COUNTRY<\/strong><\/h2>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (IN MILLION US $)<\/strong><\/p>\n

\u00a0<\/strong><\/p>\n

\"\"<\/strong><\/p>\n

\u00a0<\/strong><\/p>\n

\u00a0<\/strong><\/p>\n

1.The foreign exchange reserves in 1997-98 was how ,any times that in 1994-95?<\/strong><\/p>\n

(a)0.7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b) 1.2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c) 1.4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d) 1.5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e) 1.8<\/p>\n

2.what was the percentage increase in the foreign exchange reserves in 1997-98 over 1993-94?<\/strong><\/p>\n

(a)100\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)150\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c)200\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)620\u00a0\u00a0\u00a0\u00a0\u00a0 (e)2520<\/p>\n

 <\/p>\n

3.for which year,the percent increase of foreign exchange reserves over the previous year,is the highest?<\/strong><\/p>\n

(a)1992-93\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)1993-94\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c)1994-95\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)1996-97\u00a0 \u00a0\u00a0\u00a0(e)1997-98<\/p>\n

 <\/p>\n

 <\/p>\n

4.the foreign exchange reserves in 1996-97 werw approximately what percent of the average foreign exchange reserves over the period under review?<\/strong><\/p>\n

(a)95%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)110%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c)115%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)125%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e)140%<\/p>\n

 <\/p>\n

 <\/p>\n

5.the ratio of the number of\u00a0 years,in which the foreign exchange reserves are above the average reserves ,to those in which the reserves are below the average reserves is :<\/strong><\/p>\n

(a)2:6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)3:4\u00a0\u00a0\u00a0\u00a0 (c)3:5 (d)4:4 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(e)5:3<\/p>\n

 <\/p>\n

 <\/p>\n

Solutions<\/strong><\/p>\n

\u00a0 1<\/strong> (d) : required ratio = 5040\/3360\u00a0 = 1.5<\/p>\n

\u00a0\u00a02<\/strong> (a) : foreign exchange reserve in 1997-98=5040 million us $<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 foreign exchange reserves in 1993-94=2520 million us$<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 therefore\u00a0 increase=(5040-2520)=2520 million us $<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 therefore\u00a0\u00a0 percentage increase=((2520\/2520)*100)%=100%<\/p>\n

\u00a0 3<\/strong>(a): there\u00a0 is an increase in foreign exchange reserves during the years 1992-\u00a0 93,1994-951996-97,1997-98 as compared to previous year (as shown by bar graph)<\/p>\n

the percentage increase in reserves\u00a0 during these years compared to previous year are<\/p>\n

(1) for 1992-93 =[(3720-2640)\/2640*100]% =40.91%<\/p>\n

(2) for 1994-95=[(3360-2520)\/2520*100]%=33.33%<\/p>\n

(3) for 1996-97=[(4320-3120)\/3120*100]%=38.46%<\/p>\n

(4) for 1997-98=[(5040-4320)\/4320*100]%=16.67%<\/p>\n

 <\/p>\n

 <\/p>\n

Clearly, the percentage increase over previous year is highest for 1992-93.<\/p>\n

 <\/p>\n

    \n
  1. 4<\/strong>. (d) : Average foreign exchange reserves over the given period<\/li>\n<\/ol>\n

    = [_x (2640 + 3720 + 2520 + 3360 + 3120 + 4320 + 5040 + 3120) ] million US $<\/p>\n

    = 3480 million US $.<\/p>\n

    Foreign exchange reserves in 1996-97 = 4320 million US $. . .<\/p>\n

    Required Percentage =\u00a0 x 100 % = 124.14% .. 125%.<\/p>\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3480 .<\/p>\n

     <\/p>\n

      \n
    1. 5<\/strong>. (c) <\/em>: Average foreign exchange reserves over the given period = 3480 million US $.<\/li>\n<\/ol>\n

      The country had reserves above 3480 million US $ during the years 1992\u00ad93, 1996-97 and 1997-98 i.e., <\/em>for 3 years and below 3480 million US $ during the years 1991-92, 1993-94, 1994-95, 1995-96 and 1998-99 i.e., <\/em>for 5 years.<\/p>\n

      Hence, required ratio = 3 : 5.<\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

      \u00a0<\/strong>Ex. 2. The bar-graph provided on next page gives the sales of books (in thousand numbers) from six branches of a publishing company during two consecutive years 2000 and 2001. Answer the questions based on this bar-graph:\u00a0\u00a0\u00a0 <\/strong><\/p>\n

       <\/p>\n

      \u00a0<\/strong><\/p>\n

       <\/p>\n

      Sales of books (in thousand numbers) from six branches-B1,B2,B3,B4,B5 and B6 of a publishing company in 2000 and 2001<\/p>\n

       <\/p>\n

      \"\"<\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

      1.total sales of branches\u00a0 b1,b3 and b5 together for both\u00a0 the years (in thousand numbers) is:<\/p>\n

      (a)250 (b) 310 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c) 435 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)560\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e)585<\/p>\n

       <\/p>\n

      2.total sales of branch b6 for both the years is what percent of the total sales of branch b3 for both the years?<\/p>\n

      (a) 68.54%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)71.11%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c) 73.17%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)75.55% \u00a0\u00a0\u00a0\u00a0\u00a0 (e)77.26%<\/p>\n

       <\/p>\n

      3.what is the average sale of all the branches (in thousand numbers) for the year 2000?<\/strong><\/p>\n

      \u00a0(a)73\u00a0\u00a0 (b)80\u00a0\u00a0\u00a0 (c)83 \u00a0\u00a0 (d)88\u00a0\u00a0 (e)96<\/p>\n

       <\/p>\n

      4.what is the ratio of the total sales of branch b2 for both years to the total sales of branch b4 for both years ?<\/p>\n

      \u00a0(a)2:3 (b)3:5\u00a0\u00a0 (c)4:5\u00a0\u00a0 (d)5:7\u00a0 (e)7:9<\/p>\n

       <\/p>\n

      5.what percent of the average sales of branchesn b1,b2 and b3 in 2001 is the average sales of branches b1,b3 and b6 in 2000?<\/p>\n

      (a)75% (b)77.5%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c)82.5%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)85%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e)87.5%<\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

      SOLN\u2026\u2026\u2026\u2026\u2026\u2026\u2026..<\/p>\n

      1.(<\/strong>d) total sales of branches B1,B3 and B5 for both the years (in thousand numbers)=(80+105)+(95+110)+(75+95)=560<\/p>\n

       <\/p>\n

      2<\/strong>(c) required percentage=[(70+80)\/(95+110)*100]%=(150\/205*100)%=73.17%<\/p>\n

       <\/p>\n

      3<\/strong>(b)average sales of all the six branches (in thousand numbers ) for the year 2000=1\/6*(80+75+95+85+75+70)=80<\/p>\n

       <\/p>\n

      4<\/strong>(e) required ratio=(75+65)\/(85+95)=140\/180=7\/9<\/p>\n

       <\/p>\n

      5<\/strong>(e)average sales(in thousand numbers of branches B1,B3,and B6 in 2000= 1\/3*(80+95+70)=245\/3<\/p>\n

       <\/p>\n

      \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 average sales(in thousand numbers of branches B1,B2,and B3 in 2001=1\/3*(105+65+110)=280\/3<\/p>\n

       <\/p>\n

      \u00a0 therefore\u00a0 required percentage=[((245\/3)\/(280\/3))*100]%=(245\/280*100)%=87.5%<\/p>\n

       <\/p>\n

       <\/p>\n

      Ex.3<\/strong>. The bar graph\u00a0 provided below gives the data\u00a0 of\u00a0 the production\u00a0 of paper (in thousand tonnes) by three different companies x,y and z over the years .study the graph and answer the questions that follow<\/strong><\/p>\n

      production of paper(in laks tonnes) by three companys x,yand z over the years<\/strong><\/p>\n

       <\/p>\n

      \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \"\"\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

      1.What is the difference between the production of the company Z in 1998 and company y in 1996?<\/p>\n

      a.2 ,00,000 tons<\/p>\n

      b.20,00,000 tons<\/p>\n

      c.20,000 tons<\/p>\n

      d.2,00,00,000 tons<\/p>\n

      e.none of\u00a0 these<\/p>\n

       <\/p>\n

      2.what is the ratio of the average production of company x in the period 1998 to 2000 to the average production of company y in the same period?<\/p>\n

      a.1:1<\/p>\n

      b.15:27<\/p>\n

      c.23:25<\/p>\n

      d.27:29<\/p>\n

      e.none of these<\/p>\n

       <\/p>\n

      3.what is the percentage increase in the production of company y from1996 to 1999?<\/p>\n

      a.30%<\/p>\n

      b.45%<\/p>\n

      c.50%<\/p>\n

      d.60%<\/p>\n

      e.75%<\/p>\n

       <\/p>\n

      4.the avreage production of five years was maximum for which company?<\/p>\n

      a.x<\/p>\n

      b.y<\/p>\n

      c.z<\/p>\n

      d.x & y both<\/p>\n

      e.x and z both<\/p>\n

       <\/p>\n

      5.for which of thw follolwing years the\u00a0 percentage rise \/ fall in production from previous year is the\u00a0 maximum for company y?<\/p>\n

      a.1997<\/p>\n

      b.1998<\/p>\n

      c.1999<\/p>\n

      d.2000<\/p>\n

      e.1997 & 2000<\/p>\n

       <\/p>\n

      6.in which year was the percentage of production of company z to the production of company y the maximum?<\/p>\n

      a.1996<\/p>\n

      b.1997<\/p>\n

      c.1998<\/p>\n

      d.1999<\/p>\n

      e.2000<\/p>\n

      Sol<\/strong>: 1<\/strong>(b):required difference =<\/p>\n

      \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [(45-25)*i,00,000]tons=20,00,000 tons<\/p>\n

       <\/p>\n

      2<\/strong>(c):average production of company x in the period 1998-2000=[1\/3*(25+50+40)]=(115\/3) lakh tons<\/p>\n

       <\/p>\n

      average production of company y in the period 1998-2000<\/p>\n

      [1\/3*(35+40+50)]=(125\/3) lakh tons<\/p>\n

       <\/p>\n

      therefore req ratio=(115\/3)\/(125\/3)=115\/125=23\/25<\/p>\n

       <\/p>\n

      3<\/strong>(d):percentage increase in the production y from 1996-1999=[(40-25)\/25*100]%=(15\/25*100)%=60%<\/p>\n

       <\/p>\n

      4<\/strong>(e):average production (in lakh tons)in five years for the three company\u2019s are:<\/p>\n

      for company x=[1\/5*(30+45+25+50+40)]=190\/5=38<\/p>\n

      for company y=[1\/5*(25+35+35+40+50)]=185\/5=37<\/p>\n

      for company z=[1\/5*(35+40+45+35+35)]=190\/5=38<\/p>\n

      therefore the average production of maximum for both the company\u2019s x and z<\/p>\n

       <\/p>\n

      5<\/strong>(a) : Percentage change (rise\/fall)in the production of Company Y in comparison to the previous year, for different years are:<\/p>\n

      For 1997 = [((32-25)\/25)*100]% = 40%<\/p>\n

      For 1998 = [((35-35)\/25)*100]% = 0%<\/p>\n

      For 1999 = [((40-35)\/35)*100]% = 14.29%<\/p>\n

      For 2000 = [((50-40)\/40)*100]% = 25%<\/p>\n

       <\/p>\n

      Hence, the maximum percentage rise\/fall in the production of company Y is for 1997.<\/p>\n

       <\/p>\n

      6<\/strong>(a) : The percentages of production of company z to the production of company z for various years are:<\/p>\n

      For 1996 = ((35\/25)*100)%=140%; For 1997 = ((40\/35)*100)% = 114.29%<\/p>\n

      For 1998 = ((45\/35)*100)%=128.57%; For 1999 = ((35\/40)*100)%=87.5%<\/p>\n

      For 2000 = ((35\/50)*100)%=70%<\/p>\n

       <\/p>\n

      Clearly, this percentage is highest for 1996.\u00a0\u00a0<\/p>\n

       <\/p>\n

      Ex.4<\/strong>.Outof the two bar graphs provided below, one shows the amounts (in Lakh Rs) invested by a Company in purchasing raw materials over the years and the other shows the values<\/strong>(in Lakh Rs.) of finished goods sold by the Company over the years.<\/strong><\/p>\n

      Study the two bar graphs and answer the questions <\/strong>based <\/strong>on them.<\/strong><\/p>\n

      Amount Invested in Raw Materials and the Value of Sales of Finished Goods for<\/strong><\/p>\n

      a Company over the Years<\/strong><\/p>\n

      \u00a0<\/strong><\/p>\n

      \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Amount Invested in Raw Materials (Rs. in Lakhs)<\/strong><\/p>\n

      \"\"<\/strong><\/p>\n

       <\/p>\n

      \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Value of Sales of Finished Goods(Rs.in Lakhs)<\/p>\n

      \"\"<\/p>\n

       <\/p>\n

       <\/p>\n

       <\/p>\n

      1.Inwhichyear,there has been a maximum percentage increase in the amount invested inRawMaterials as compared to the previous year?<\/p>\n

      (a)<\/em>1996 (b) 1997 (c) <\/em>1998 (d) 1999 (e) <\/em>2000<\/p>\n

        \n
      1. Inwhichyear, the percentage change (compared to the previous year) in the investment onRaw Materials is the same as that in the value of sales of finished goods?<\/li>\n<\/ol>\n

        (a)<\/em>1996 (b) <\/em>1997 (c) <\/em>1998 (d) 1999 (e) <\/em>2000<\/p>\n

        3.Whatwas the difference between the average amount invested in Raw Materials during the given period and the average value of sales of finished goods during this period<\/strong>?<\/p>\n

        (a)<\/em>Rs. 62.5 lakhs\u00a0\u00a0\u00a0 (b) <\/em>Rs. 68.5 lakhs\u00a0\u00a0\u00a0\u00a0\u00a0 (c) <\/em>Rs. 71.5 lakhs<\/p>\n

        (d)Rs.77.51akhs\u00a0\u00a0\u00a0\u00a0\u00a0 (e) <\/em>Rs. 83.5 lakhs<\/p>\n

         <\/p>\n

          \n
        1. The value of sales of finished goods in 1999 was approximately what percent of the average amount invested in Raw Materials in the years 1997,1998 and 1999?<\/strong><\/li>\n<\/ol>\n

          (a) 33%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b) 37%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c) 45%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d) 49%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e) 53%<\/p>\n

           <\/p>\n

            \n
          1. The maximum difference between the amount invested in Raw Materials and the value of sales of finished goods was during the year:<\/strong><\/li>\n<\/ol>\n

            (a) 1995\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b) 1996\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c) 1997\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d) 1998\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e) 1999<\/p>\n

             <\/p>\n

            Sol.\u00a0 1. <\/strong>(a) : The percentage increase in the amount invested in raw-materials as compared to the previous year, for different years are:<\/p>\n

            \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 For 1996 = [((225-120)\/120)*100]% = 87.5%<\/p>\n

            \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 For 1997 = [((375-225)\/225)*100]% = 66.67%<\/p>\n

            \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 For 1998 = [((525-330)\/330)*100]% = 59.09%<\/p>\n

            \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0For 2000 there is a decrease.<\/p>\n

            \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2.<\/strong>(b)The percentage change in the amount invested in raw-materials and in the value of sales of finished goods for different years are:<\/p>\n

             <\/p>\n\n\n\n\n\n\n\n\n
            \n

            year<\/p>\n<\/td>\n

            		\n

            Percentage change in amount invested in raw-materials<\/p>\n<\/td>\n

            		\n

            Percentage change in value of sales of finished goods<\/p>\n<\/td>\n<\/tr>\n

            \n

            1996<\/p>\n<\/td>\n

            		\n

            [((225-120)\/120)*100]% = 87.5%<\/p>\n<\/td>\n

            		\n

            [((300-200)\/200)*100]% = 50%<\/p>\n<\/td>\n<\/tr>\n

            \n

            1997<\/p>\n<\/td>\n

            		\n

            [((375-225)\/225)*100]% = 66.7%<\/p>\n<\/td>\n

            		\n

            [((500-300)\/300)*100]% = 66.67%<\/p>\n<\/td>\n<\/tr>\n

            \n

            1998<\/p>\n<\/td>\n

            		\n

            [((525-330)\/330)*100]% = -12%<\/p>\n<\/td>\n

            		\n

            [((400-500)\/500)*100]% = -20%<\/p>\n<\/td>\n<\/tr>\n

            \n

            1999<\/p>\n<\/td>\n

            		\n

            [((525-330)\/330)*100]% = 59.09%<\/p>\n<\/td>\n

            		\n

            [((600-400)\/400)*100]% = 50%<\/p>\n<\/td>\n<\/tr>\n

            \n

            2000\u00a0<\/p>\n<\/td>\n

            		\n

            [((420-525)\/525)*100]% = -20%<\/p>\n<\/td>\n

            		\n

            [((460-600)\/600)*100]% = -23.33%<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

             <\/p>\n

            Thus the percentage difference is same during the year 1997.<\/p>\n

             <\/p>\n

              \n
            1. (d) : Required difference = Rs. [(1\/6)*(200+300+500+400+600+460)<\/li>\n<\/ol>\n

              –\u00a0\u00a0\u00a0\u00a0 (1\/6)*(120+225+375+330+525+420)] lakhs<\/p>\n

              = Rs. [(2460\/6)-(1995\/6)] lakhs = Rs.(410-332.5)lakhs = 77.5 lakhs.<\/p>\n

               <\/p>\n

                \n
              1. (d) : Required percentage = [(600\/(375+300+525))*100]% = 48.78% \u00bb 49%<\/li>\n<\/ol>\n

                 <\/p>\n

                  \n
                1. (c) : The difference between the amount invested in raw-material and the value of sales of finished goods for various years are :<\/li>\n<\/ol>\n

                  \u00a0\u00a0 For 1995<\/strong> = Rs.(200-120)lakhs = Rs. 80 lakhs<\/p>\n

                  \u00a0\u00a0 For 1996<\/strong> = Rs.(200-225)lakhs = Rs. 75 lakhs<\/p>\n

                  \u00a0\u00a0 For 1997<\/strong> = Rs. (500-375)lakhs = Rs. 125 lakhs<\/p>\n

                  \u00a0\u00a0 For 1998<\/strong> = Rs. (400-330)lakhs = Rs. 70 lakhs.<\/p>\n

                  \u00a0\u00a0 For 1999<\/strong> = Rs. (600-525)lakhs = Rs. 75 lakhs<\/p>\n

                  \u00a0\u00a0 For 2000<\/strong> = Rs. (460-420)lakhs = Rs. 40 lakhs.<\/p>\n

                  \u00a0Clearly, maximum difference was during 1997\u00a0\u00a0<\/p>\n

                  ——————————————————————————–<\/p>\n\n\n\n
                  \n

                  EXERCISE 37 <\/strong><\/h3>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

                   <\/p>\n

                   <\/p>\n

                  Directions(questions 1 to 5) : study the following bar-graph and answer the questions given below. <\/strong><\/p>\n

                  Production of fertilizers by a Company (in 10000 tonnes) over the Years<\/strong><\/p>\n

                  \u00a0\u00a0 <\/strong><\/p>\n

                  \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 X axis=years<\/p>\n

                  \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Y axis=Production (in 10000 tonnes)<\/p>\n

                   <\/p>\n

                  \"\"<\/p>\n

                    \n
                  1. In how many of the given years was the production of fertilizers more than the average production of the given years?<\/strong><\/li>\n<\/ol>\n

                    \u00a0<\/strong><\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (a)1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c)3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d)4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e)5<\/p>\n

                      \n
                    1. The average production of 1996 and 1997 was exactly equal to the average production of which of the following pairs of years?<\/strong><\/li>\n<\/ol>\n

                      \u00a0<\/strong><\/p>\n

                      (a)2000 and 2001\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b)1999 and 2000\u00a0\u00a0\u00a0\u00a0\u00a0 (c)1998 and 2000\u00a0\u00a0\u00a0\u00a0\u00a0 (d)1995\u00a0\u00a0\u00a0\u00a0 and 1999\u00a0\u00a0\u00a0\u00a0\u00a0 (e)1995 and 2001<\/p>\n

                      \u00a03.What was the percentage decline in the production of fertilizers from 1997\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 to 1998?<\/strong>\u00a0<\/p>\n

                      \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong>(a) 331<\/sup>\/3<\/sub>%\u00a0\u00a0\u00a0\u00a0 (b) 30%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c) 25%\u00a0\u00a0\u00a0 (d) 21%\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e) 20%<\/p>\n

                      4.In which year the percentage increase in production as compared to the previous year the maximum?<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n

                      \u00a0\u00a0\u00a0 (a) 2002\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (b) 2001\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (c) 1999\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (d) 1997\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (e) 1996\u00a0\u00a0\u00a0<\/p>\n

                       <\/p>\n

                       <\/p>\n","protected":false},"excerpt":{"rendered":"

                      BAR\u00a0\u00a0 GRAPHS   this section comprises of questions in which the data collected in a particular discipline are represented in the form of vertical or horizontal bars drawn by selecting a particular scale.one of the parameters is plotted\u00a0\u00a0 on the horizontal axis and the other on the vertical\u00a0 axis . the candidate is required to […]<\/p>\n","protected":false},"author":41,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[126,127],"tags":[],"class_list":["post-6040","post","type-post","status-publish","format-standard","hentry","category-rs-aggarwal-quantitative-aptitude","category-rs-aggarwal-quantitative-aptitude-pdf"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/posts\/6040","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/users\/41"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/comments?post=6040"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/posts\/6040\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/media?parent=6040"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/categories?post=6040"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/tags?post=6040"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}