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Aptitude Stocks Test Yourself

3118.The cost price of a Rs. 100 stock at 4 discount, when brokerage is $\dfrac{1}{4}$% is:
Rs. 95.75
Rs. 96
Rs. 96.25
Rs. 104.25
Explanation:
C.P. = Rs.$ \left(100 - 4 +\dfrac{1}{4} \right) $= Rs. 96.25
3119.A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtain equal dividends from both, he must invest the money in the ratio:
31 : 44
31 : 27
16 : 15
35 : 44
Explanation:

In case of stock1, if he invest Rs.105, he will get a dividend of Rs.12 [assume face value = 100]

In case of stock2, if he invest Rs.88, he will get a dividend of Rs.8 [assume face value = 100]

ie, if he invest Rs.$\dfrac{(88 \times 12)}{8}$, he will get a dividend of Rs.12

Required ratio = 105 : $\dfrac{(88 \times 12)}{8}$ = 105 : $(11 \times 12)$ = 35 : $(11 \times 4)$ = 35 : 44

3120.A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Rs. 207.40
Rs. 534.60
Rs. 648
Rs. 655.60
Explanation:
Number of shares =$ \left(\dfrac{4455}{8.25} \right) $= 540.

Face value = Rs.$ (540 \times 10)$ = Rs. 5400.

Annual income = Rs.$ \left(\dfrac{12}{100} \times 5400\right) $= Rs. 648.
3121.A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13$ \dfrac{1}{2} $. The rate of interest obtained is:
12$ \dfrac{1}{2} $%
13$ \dfrac{1}{2} $%
15%
16$ \dfrac{2}{3} $%
Explanation:

Investment = Rs. $[20 \times (50 - 5)]$ = Rs. 900.

Face value = Rs. $(50 \times 20)$ = Rs. 1000.

Dividend = Rs.$ \left(\dfrac{27}{2} \times\dfrac{1000}{100} \right) $= Rs. 135.
Interest obtained =$ \left(\dfrac{135}{900} \times 100\right) $%= 15%
3122.To produce an annual income of Rs. 800 from a 8% stock at 90, the amount of stock needed is:
Rs.10000
Rs.14400
Rs.10800
Rs.16000
Explanation:

Since face value is not given, take it as Rs.100.

As it is an 8% stock, income [dividend] per stock = Rs.8

ie, For an income of Rs.8,amount of stock needed = Rs.100

For an income of Rs.800, amount of stock needed = $\dfrac{100 \times 800}{8}$ = 10000

3123.A 6% stock yields 8%. The market value of the stock is:
Rs. 48
Rs. 75
Rs. 96
Rs. 133.33
Explanation:

For an income of Rs. 8, investment = Rs. 100.

For an income of Rs. 6, investment = Rs.$ \left(\dfrac{100}{8} \times 6\right) $= Rs. 75.

$\therefore$ Market value of Rs. 100 stock = Rs. 75.

3124.A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:
3 : 4
3 : 5
4 : 5
16 : 15
Explanation:
For an income of Re. 1 in 9% stock at 96, investment = Rs.$ \left(\dfrac{96}{9} \right) $= Rs.$ \dfrac{32}{3} $
For an income Re. 1 in 12% stock at 120, investment = Rs.$ \left(\dfrac{120}{12} \right) $= Rs. 10.
$\therefore$ Ratio of investments =$ \dfrac{32}{3} $: 10 = 32 : 30 = 16 : 15.
3127.A 14% stock yielding 8% is quoted at:
Rs. 125
Rs. 83.33
Rs. 120
Rs. 175
Explanation:

Assume that face value = Rs.100 as it is not given

To earn Rs.8, money invested = Rs.100

To earn Rs.14, money invested = $\dfrac{100 \times 14}{8}$ = Rs.175

ie, market value of the stock = Rs.175

3135.By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Rs. 80
Rs. 96
Rs. 106
Rs. 108
Explanation:

To earn Rs. 135, investment = Rs. 1620.

To earn Rs. 8, investment = Rs.$ \left(\dfrac{1620}{135} \times 8\right) $= Rs. 96.

$\therefore$ Market value of Rs. 100 stock = Rs. 96.

3138.A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Rs. 12
Rs. 15
Rs. 18
Rs. 21
Explanation:
Dividend on Rs. 20 = Rs.$ \left(\dfrac{9}{100} \times 20\right) $= Rs.$ \dfrac{9}{5} $.

Rs. 12 is an income on Rs. 100.

$\therefore$ Rs.$ \dfrac{9}{5} $is an income on Rs.$\left(\dfrac{100}{12} \times \dfrac{9}{5} \right)$= Rs. 15.
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