{"id":6023,"date":"2025-06-09T09:15:50","date_gmt":"2025-06-09T09:15:50","guid":{"rendered":"https:\/\/thecompanyboy.com\/?p=6023"},"modified":"2025-06-09T09:15:50","modified_gmt":"2025-06-09T09:15:50","slug":"rs-aggarwal-quantitative-aptitude-pdf-download-stocks-shares-and","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/drive\/rs-aggarwal-quantitative-aptitude-pdf-download-stocks-shares-and\/","title":{"rendered":"RS Aggarwal Quantitative Aptitude PDF Free Download: STOCKS AND SHARES"},"content":{"rendered":"

STOCKS AND SHARES\u00a0<\/strong><\/h2>\n

To start a big business or an industry, a large amount of money is needed. It is beyond the capacity of one or two persons to arrange such a huge amount. However, some persons associate together to form a company. They, then, draft a proposal, issue a prospectus(in the name of company), explaining the plan of the project and invite the public to invest money in this project. They, thus, pool up the funds from the public, by assigning them shares <\/strong>of the company.<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0IMPORTANT FACTS AND FORMULAE<\/strong><\/u><\/h2>\n

\u00a0<\/u><\/strong>Stock-capital: <\/strong>The total amount needed to run the company is called the stock-capital<\/strong><\/p>\n

    \n
  1. Shares or stock:<\/strong> The whole capital is divided into small units, called shares<\/strong> or<\/li>\n<\/ol>\n

    For each investment, the company issues a share-certificate, showing the value of each share and the number of shares held by a person.<\/p>\n

    The person who subscribers in shares or stock is called a share holder<\/strong> or stock holder.<\/strong><\/p>\n

      \n
    1. Dividend: <\/strong>The annual profit distributed among share holders is called<\/li>\n<\/ol>\n

      Dividend is paid annually as per share or as a percentage.<\/p>\n

        \n
      1. Face Value: <\/strong>The value of a share or stock printed on the share-certificate is called its Face Value<\/strong> or Nominal Value<\/strong> or Par Value.<\/strong><\/li>\n
      2. Market Value: <\/strong>The stocks of different companies are sold and bought in the open market through brokers at stock-exchanges. A share (or stock) is said to be:\n
          \n
        • (i) At premium<\/strong> or Above par<\/strong>, if its market value is more than its face value.<\/li>\n
        • (ii) At par<\/strong>, if its market value is the same as its face value.<\/li>\n
        • (iii) At discount<\/strong> or Below par<\/strong>, if its market value is less than its face value.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n

          Thus, if a Rs.100 stock is quoted at a premium of 16, then market value of the stock = Rs. (100+16) = Rs. 116.<\/p>\n

          Likewise, I f a Rs. 100 stock is quoted at a discount of 7, then market value of the stock = Rs. (100-7) = Rs. 93.<\/p>\n

            \n
          1. Brokerage:<\/strong> The broker\u2019s charge is called\n
              \n
            • (i) When stock is purchased, brokerage is added to the cost price.<\/li>\n
            • (ii) When stock is sold, brokerage is subtracted from the selling price.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n

              Remember:<\/strong><\/p>\n

                \n
              • (i) The face value of a share always remains the same.<\/li>\n
              • (ii) The market value of a share changes form time to time.<\/li>\n
              • (iii) Dividend is always paid on the face value of a share.<\/li>\n
              • (iv) Number of shares held by a person<\/li>\n<\/ul>\n

                =\u00a0 \u00a0\u00a0\u00a0\u00a0Total Investment_<\/u> =\u00a0\u00a0\u00a0 _Total Income\u00a0\u00a0\u00a0 _<\/u>\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0 _Total Face Value<\/u><\/p>\n

                \u00a0\u00a0\u00a0 Investment in 1 share\u00a0\u00a0\u00a0\u00a0\u00a0 Income from\u00a0 1 share\u00a0\u00a0\u00a0 \u00a0\u00a0face Value of 1 share<\/p>\n

                Thus, by a Rs. 100, 9% stock at 120, we mean that:<\/p>\n

                  \n
                • (i) Face Value (N>V) of stock = Rs. 100.<\/li>\n
                • (ii) Market Value (M>V) of stock = Rs. 120.<\/li>\n
                • (iii) Annual dividend on 1 share = 9% of face value = 9% of Rs. 100 = Rs. 9.<\/li>\n
                • (iv) An investment of Rs. 120 gives an annual income of Rs. 9.<\/li>\n
                • (v) Rate of interest p.a = Annual income from an investment of Rs. 100.<\/li>\n<\/ul>\n

                  \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0 (9\/120 * 100) % = 7 (1\/2) %.<\/p>\n

                  \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 SOLVED\u00a0 EXAMPLES<\/u><\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0<\/h2>\n

                  Ex. 1. Find the cost of:<\/strong><\/p>\n

                    \n
                  • (i) <\/strong> 7200, 8% stock at 90;<\/strong><\/li>\n
                  • (ii) <\/strong> 4500, 8.5% stock at 4 premium;<\/strong><\/li>\n
                  • (iii) <\/strong> 6400, 10% stock at 15 discount.<\/strong><\/li>\n<\/ul>\n

                    \u00a0<\/strong>Sol.\u00a0\u00a0\u00a0\u00a0 (i) <\/strong>Cost of Rs. 100 stock = Rs. 90<\/p>\n

                    \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0Cost of Rs. 7200 stock = Rs. (90\/100 * 7200 ) = Rs. 6480.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (ii)<\/strong> Cost of Rs. 100 stock = Rs. (100+4)<\/p>\n

                    \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Cost of Rs. 4500 stock = Rs. (104\/100 * 4500 ) = Rs. 4680<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (iii) <\/strong>Cost of Rs. 100 stock = Rs. (100-15)<\/p>\n

                    \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0Cost of Rs. 6400 stock = Rs. (85\/100 * 6400 ) = Rs. 5440.<\/p>\n

                    Ex. 2. Find the cash required to purchase Rs. 3200, 7(1\/2) % stock at 107\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 (brokerage (1\/2) %)<\/strong><\/p>\n

                    \u00a0<\/strong>Sol.\u00a0 <\/strong>Cash required to purchase Rs. 100 stock = Rs (107+(1\/2)) = Rs. (215\/2).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>Cash required to purchase Rs. 100 stock = Rs [(215\/2)*(1\/100)*3200] = Rs. 3440.<\/p>\n

                    Ex. 3. Find the cash realised by selling Rs.\u00a0 2440, 9.5% stock at 4 discount (brokerage (1\/4) %)<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>By selling Rs. 100 stock , cash realised = Rs. [(100-4)-(1\/4)] = Rs. (383\/4).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>By selling Rs. 2400 stock, cash realised = Rs. [(383\/4)*(1\/100)*2400] = Rs 2298.<\/p>\n

                    Ex. 4. Find the annual income derived from Rs. 2500, 8% stock at 106.<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>Income from Rs. 100 stock = Rs. 8.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>Income from Rs. 2500 = Rs. [(8\/1000*2500) =Rs. 200.<\/p>\n

                    Ex. 5. Find the annual income derived by investing Rs. 6800 in 10% stock at 136.<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>By investing Rs. 136, income obtained = Rs. 10.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0 By investing Rs. 6800, income obtained = Rs. [(10\/136)*6800] = Rs. 500.<\/p>\n

                    Ex. 6. Which is better investment? 7(1\/2) % stock at 105 or 6(1\/2) % at 94.<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>Let the investment in each case be Rs. (105*94).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Case I : <\/strong>7(1\/2) 5 stock at 105:<\/h3>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0<\/strong>On investing Rs. 105, income = Rs. (15\/2).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0On investing Rs. (105*94), income = Rs. [(15\/2)*(1\/105)*105*94] = Rs 705.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Case II : <\/strong>6(1\/2) % stock at 94:<\/h3>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 <\/strong>On investing Rs. 94, income = Rs. (13\/2).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 On investing Rs. (105*94), income\u00a0 = Rs. [(13\/2)*(1\/94)*105*94] = Rs. 682.5.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 Clearly, the income from 7(1\/2) % stock at 105 is more.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 Hence, the investment in 7(1\/2) % stock at 105 is better.<\/p>\n

                    Ex. 7. Find the cost of 96 shares of Rs. 10 each at (3\/4) discount, brokerage being\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (1\/4) per share.<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>Cost of 1 share = Rs. [(10-(3\/4)) + (1\/4)] = Rs. (19\/2).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>Cost of 96 shares = Rs. [(19\/2)*96] = Rs. 912.<\/p>\n

                    Ex. 8. Find the income derived from 88 shares of Rs. 25 each at 5 premium, brokerage being (1\/4) per share and the rate of dividend being 7(1\/2) % per annum. Also, find the rate of interest on the investment.<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>Cost of 1 share = Rs. [25+5+1\/4)] = Rs. (121\/4).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>Cost of 88 shares = Rs.[(121\/4)*88] = Rs. 2662.<\/p>\n

                    \u00a0 \\ Investment made = Rs. 2662.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Face value of 88 shares = Rs. (88*25) = Rs. 2200.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Dividend on Rs. 100 = (15\/2).<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Dividend on Rs. 2200 = Rs. [(15\/20*(1\/100)*2200] = Rs. 165.<\/p>\n

                    \u00a0 \\ Income derived = Rs. 165.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rate of interest on investment = [(165\/2662)*100] = 6.2 %.<\/p>\n

                    Ex. 9. A man buys Rs. 25 shares in\u00a0\u00a0 company which pays 9 % dividend. The money invested is such that it gives 10 % on investment. At what price did he buy the shares?<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>Suppose he buys each share for Rs. x.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>Then, [25*(9\/100)] = [x*(10\/100)] or x = Rs. 22.50.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Cost of each share = Rs. 22.50.<\/p>\n

                    Ex. 10. A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?<\/strong><\/p>\n

                    \u00a0<\/strong>Sol. <\/strong>S.P of Rs. 5000 stock = Rs. [(156\/100)*5000] = Rs. 7800.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong>Income from this stock = Rs. [(12\/100)*5000] = Rs. 600.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Let investment in * % stock be x and that in 9 % stock = (7800-x).<\/p>\n

                    \u00a0 \\ [x*(8\/90)] + (7800-x) * (9\/108) = (600+7)<\/p>\n

                    \u00a0 \u00f3\u00a0 (4x\/45) + [(7800-x)\/12] = 670 \u00f3 16x + 117000-15x = (670*180) \u00f3 x = 3600.<\/p>\n

                    \u00a0\u00a0 \\ Money invested in 8 % stock at 90 = Rs. 3600.<\/p>\n

                    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Money invested in 9 % at 108 = Rs. (7800-3600) = Rs. 4200.<\/p>\n

                    The “Stocks and Shares” chapter in R.S. Aggarwal’s “Quantitative Aptitude” is a valuable resource for understanding financial calculations related to investments. This chapter is located in the book and provides comprehensive explanations and practice problems.<\/p>\n

                    While the complete book is available for purchase through various retailers, accessing specific chapters for free can be challenging due to copyright restrictions. However, some educational platforms and forums may offer excerpts or summaries of specific chapters. For instance, the “Stocks and Shares” chapter is covered in pages 834\u2013840 of the book.<\/p>\n

                    Please ensure that any resources you access are legal and respect copyright laws. Supporting authors by purchasing their work not only ensures you receive accurate and high-quality content but also encourages the creation of more educational materials.<\/p>\n

                    RS Aggarwal Quantitative Aptitude PDF Free Download: STOCKS AND SHARES<\/h3>\n

                    Accessing specific chapters from copyrighted books, such as “Stocks and Shares” from R.S. Aggarwal’s “Quantitative Aptitude,” may not be legally available for free download. However, to aid your understanding of this topic, here are some reputable resources:<\/p>\n

                      \n
                    1. \n

                      Doubtnut<\/strong>: Offers solutions and explanations for various chapters of R.S. Aggarwal’s “Quantitative Aptitude,” including “Stocks and Shares.” You can access these resources online to enhance your learning.<\/p>\n

                      Kalviamuthu<\/strong>: Provides educational materials and may have relevant content to assist with your studies on stocks and shares.<\/li>\n<\/ol>\n

                      For comprehensive learning, consider purchasing the complete book from authorized retailers or accessing it through legitimate educational platforms. This ensures you have access to accurate and complete information while respecting intellectual property rights.<\/p>\n

                      I can’t provide a free PDF download of Quantitative Aptitude<\/em> by R.S. Aggarwal, as it is copyrighted material. However, here are some ways to access the Stocks and Shares<\/strong> chapter legally:<\/p>\n

                      Legal Ways to Access the Book:<\/strong><\/h3>\n
                        \n
                      1. Official Publisher Website<\/strong> \u2013 Check S. Chand Publishing for official copies.<\/li>\n
                      2. Google Books & Amazon Kindle<\/strong> \u2013 Some sections may be available for preview.<\/li>\n
                      3. Library Services<\/strong> \u2013 Public or university libraries may have a digital or physical copy.<\/li>\n
                      4. Educational Platforms<\/strong> \u2013 Websites like Unacademy, BYJU\u2019S, and Gradeup provide free explanations and practice problems on this topic.<\/li>\n<\/ol>\n

                        Need Help with Stocks and Shares?<\/strong><\/h3>\n

                        I can explain concepts, provide formulas, and give you practice problems with solutions. Let me know what you need!<\/p>\n","protected":false},"excerpt":{"rendered":"

                        STOCKS AND SHARES\u00a0 To start a big business or an industry, a large amount of money is needed. It is beyond the capacity of one or two persons to arrange such a huge amount. However, some persons associate together to form a company. They, then, draft a proposal, issue a prospectus(in the name of company), […]<\/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-6023","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\/6023","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=6023"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/posts\/6023\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/media?parent=6023"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/categories?post=6023"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/drive\/wp-json\/wp\/v2\/tags?post=6023"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}