1. Question:Find the cash realised by selling Rs. 2400, 9.5% stock at 4 discount` (brokerage 1/4%)` 

    Answer
    By selling Rs. 100 stock, cash realised 
    
    `= Rs. [(100 - 4) - 1/4]`
    
    `= Rs. 383/4`
    
     By selling Rs. 2400 stock, cash realised
    
    ` = Rs.(383/4 xx 1/100 xx 2400)`
    
     =Rs. 2298.

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  2. Question:Find the annual income derived from Rs. 2500, 8% stock at 106. 

    Answer
    Income from Rs.100 stock = Rs. 8
    
    Income from Rs. 2500 stock
    
    ` = Rs. (8/100 xx 2500)`
    
       `= Rs.200.`

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  3. Question:Find the annual income by investing Rs. 6800 in 10% stock at 136. 

    Answer
    By investing Rs.136, income obtained = Rs. 10
    
    By investing Rs. 6800, income obtained` = Rs. (10/136 xx 6800)`
    
       `= Rs. 500`

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  4. Question:Which is better investment ? `7 1/2%` stock at 105 or `6 1/2%` stock at 94. 

    Answer
    Let the investing in each case be Rs.`(105 xx 94).`
    
     Case I : `7 1/2%` stock at 105 :
    
     On investing Rs. 105, income` = Rs. 15/2`
    
     On investing Rs. `(105 xx 94),` income
    
    `= Rs. (15/2 xx 1/105 xx 105 xx 94)`
    
    `= Rs. 705.`
    
      Case II :` 6 1/2%` stock at 94 :
    
      On investing Rs. 94, income` = Rs. 13/2`
    
      On investing Rs.`( 105 xx 94)`, income
    
      `= Rs. (13/2 xx 1/94 xx 105 xx 94)`
    
      `= Rs. (1365)/2`
    
      `= Rs. 682.50.`
    
      Clearly, the income from` 7 1/2%` stock at 105 is more.
    
      Hence, the investment in` 7 1/2%` stock at 105 is better.

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  5. Question:Find the cost of 96 shares of Rs. 10 each at` 3/4` discount, brokerage being` 1/4` per share. 

    Answer
    Cost of 1 share
    
    ` = Rs. [(10 - 3/4) + 1/4]`
    
     `= Rs. 19/2.`
    
     Cost of 96 shares 
    
    `= Rs. (19/2 xx 96)`
    
    `= Rs. 912.`

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  6. Question: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. 

    Answer
    Cost of 1 share` = Rs. (25 + 5 + 1/4)`
    
                          `= Rs. 121/4`
    
    Cost of 88 shares` = Rs.(121/4 xx 88)`
    
                               `= Rs. 2662.`
    
    :. Investment made` - Rs. 2662.`
    
    Face value of 88 shares` = Rs. (88 xx 25)`
    
                                        `= Rs. 2200.`
    
    Dividend on Rs.` 100 = 15/2.`
    
    Dividend on Rs. 2200` = Rs. (15/2 xx 1/100 xx 2200)`
    
                                      `= Rs. 165.`
    
    :. Income derived = Rs. 165.
    
    Rate of interest on investment` = (165/2662 xx 100)`
    
                                               `= 6.2 %`.

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  7. Question:A man buys Rs. 25 shares in a company which pays 9% dividend. The money invested is such that it gives 10% on investment. At what price did he buy the shares ? 

    Answer
    Suppose he buys each share for Rs. x.
    
    Then,` (25 xx 9/100) = (x xx 10/100) or x = 22.50.`
    
    :. Cost of each share = Rs. 22.50.

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  8. Question:10. A man sells Rs. 5000, 12% stock at 156 and invests the proceeds party in 8% stock at 90 and 9% stock at 108. He thereby increase his income by Rs. 70. How much of the proceeds were investing in each stock ? 

    Answer
    S.P. of Rs. 5000 stock`= Rs. (156/100 xx 5000)`
    
                `= Rs. 7800.`
    
    Income from this stock` = Rs. (12/100 xx 5000)`
    
             `= Rs. 600.`
    
    Let investment in 8% stock be x & that in 9% stock = (7800 - x).
    
    `:. (x xx 8/90) + (7800 - x) xx 9/108 = (600 + 70)`
    
    `or 4x/45 + (7800 - x)/12`
    
    `= 670`
    
    `or 16x + 117000 - 15x`
    
    `= (670 xx 180) or x = 3600.`
    
    :. Money invested in 9% stock at 108 
    
    `= Rs. (7800 - 3600)`
    
    `= Rs. 4200.`

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