Aptitude
1.
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
• A.
Rs. 3100
• C.
Rs. 6500
• B.
Rs. 6240
• D.
Rs. 9600
• Report
Explanation :

To obtain Rs. 10, investment = Rs. 96.

To obtain Rs. 650, investment = Rs.
 96 10
x 650    = Rs. 6240.

Report
 Name Email
2.
12500 shares, of par value Rs. 20 each, are purchased from Ram by Mohan at a price of Rs. 25 each. Find the amount required to purchase the shares. If Mohan further sells the shares at a premium of Rs. 11 each, find his gain in the transaction.
• A.
Rs. 75000
• C.
Rs. 70000
• B.
Rs. 85000
• D.
Rs. 65000
• Report
Explanation :

Market value of a share = Rs. 25

Market value of 12500 shares� = Rs. (25 x 12500) = Rs. 312500

Thus, the amount required to purchase 12500 shares = Rs. 312500

Then, Mohan sells these shares at a premium of Rs. 11 each.

New market rate per shares = Rs. (20 + 11) = Rs. 31

Selling price of these shares = Rs. (31 x 12500) = Rs. 387500

Gain = S.P. � C.P. = Rs. (387500 � 312500) = Rs. 75000

Report
 Name Email
3.
Find the income by investing Rs. 81000 in 9% stock at 135.
• A.
Rs. 5500
• C.
Rs. 5400
• B.
Rs. 6400
• D.
Rs. 6000
• Report
Explanation :

Here, the market value of the stock = Rs. 81000

By investing Rs. 135, stock of par value Rs. 100 is available

Income on Rs. 135 is Rs. 9

Income on Rs. 81000 is Rs.
 9 135
x 81000

 = Rs. 5400.

Report
 Name Email
4.
Brij has 800 shares of par value Rs. 50 each and 600 debentures of par value Rs. 100 each of the company. The company pays an annual dividend of 6% on the shares and interest of 12% on the debentures. Find the total annual income of Brij and rate of return on his investment.
• A.
Rs. 9600, 9.6%
• C.
Rs. 10600, 10.6%
• B.
Rs. 8000, 8%
• D.
Rs. 9000, 8.6%
• Report
Explanation :

Annual dividend on 800 shares = Rs.
 800 x 50 x 6 100
= Rs. 2400

Annual interest on 600 debentures =
 600 x 100 x 12 100
= Rs. 7200

Total annual income of Brij = Rs. (2400 + 7200) = Rs. 9600

Total investment of Brij = Rs. (800 x 50 + 600 x 100)

 = Rs. (40000 + 60000)

 = Rs. 100000

Rate of return =
 9600 100000
x 100   % = 9.6%

Report
 Name Email
5.
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
• A.
Rs. 4800
• C.
Rs. 5400
• B.
Rs. 5000
• D.
Rs. 5600
• Report
Explanation :

Let the investment in 9% stock be Rs. x.

Then, investment in 10% stock = Rs. (9800 � x)

 9 75
x x =
 10 80
x (9800 - x)
 3x 25
=
 9800 - x 8

24x = 9800 x 25 � 25x 49x = 9800 x 25 x = 5000

Report
 Name Email