Aptitude - Stocks and Shares
6.
Which is better investment 7.5% stock at 105 or 6.5% stock at 94 ?
Answer
Let the investment be Rs. (105 x 94).
CASE I.
Income from 7.5% stock at 105.
On investing Rs. 105, income = Rs. 7.5
On investing Rs. (105 x 94), income = Rs. [(7.5 x 1 x 105 x 94) ÷ 105] = Rs. 705
CASE II.
Income from 6.5% stock at 94.
On investing Rs. 94, income = Rs. 6.5
On investing Rs. (105 x 94), income = Rs. [(6.5 x 1 x 105 x 94) ÷ 94] = Rs. 682.50
∴ 1st investment is better.
Answer :
Option AExplanation :
Let the investment be Rs. (105 x 94).
CASE I.
Income from 7.5% stock at 105.
On investing Rs. 105, income = Rs. 7.5
On investing Rs. (105 x 94), income = Rs. [(7.5 x 1 x 105 x 94) ÷ 105] = Rs. 705
CASE II.
Income from 6.5% stock at 94.
On investing Rs. 94, income = Rs. 6.5
On investing Rs. (105 x 94), income = Rs. [(6.5 x 1 x 105 x 94) ÷ 94] = Rs. 682.50
∴ 1st investment is better.
7.
Rs. 2780 is invested partly in 4% stock at 75 and 5% stock at 80 to have equal amounts of income. The investment in 5% stock is :
Answer
Let the investment in 4% stock be Rs. x.
Then, the investment in 5% stock = Rs. (2780 − x)
4x75 = 580(2780 − x) ⇒ 4x75 = (2780 − x)16
⇒ 64x = (75 x 2780) − 75x ⇒ 139x = 75 x 2780
⇒ On, solving x = 1500
∴ Investment in 5% stock = Rs. 1500.
Answer :
Option AExplanation :
Let the investment in 4% stock be Rs. x.
Then, the investment in 5% stock = Rs. (2780 − x)
4x75 = 580(2780 − x) ⇒ 4x75 = (2780 − x)16
⇒ 64x = (75 x 2780) − 75x ⇒ 139x = 75 x 2780
⇒ On, solving x = 1500
∴ Investment in 5% stock = Rs. 1500.
8.
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 :
Answer
Dividend on each share = Rs.
9100 x 20 
= Rs. 1.80
If income is Rs. 12, investment = Rs. 100
If income is Rs. 1.80, investment = Rs. [(100 x 1.80) ÷ 12] = Rs. 15
∴ Market value of each share is Rs. 15.
Answer :
Option CExplanation :
Dividend on each share = Rs.
9100 x 20 = Rs. 1.80If income is Rs. 12, investment = Rs. 100
If income is Rs. 1.80, investment = Rs. [(100 x 1.80) ÷ 12] = Rs. 15
∴ Market value of each share is Rs. 15.
9.
A man invests some money partly in 3% stock at 96 and partly in 4% stock at 120. to get equal dividends from both, he must invest the money in the ratio :
Answer
Let the required ratio be p : 1.
396 x p = 4120 x 1 ⇒ p = 1 x 3230 = 1615
∴ Required ratio = 16 : 15.
Answer :
Option DExplanation :
Let the required ratio be p : 1.
396 x p = 4120 x 1 ⇒ p =
1 x 3230 = 1615∴ Required ratio = 16 : 15.
10.
A man bought 20 shares of Rs. 50 each at 5 discount, the rate of dividend being 13.5%. The rate of interest obtained is :
Answer
Let the rate of interest is R.
C.P. of each share = Rs. (50 − 5) = Rs. 45.
C.P. of 20 share = Rs. (45 x 20) = Rs. 900.
Face value of 20 shares = Rs. (50 x 20) = Rs. 1000.
(13.5 x 1000) ÷ 100 = (900 x R) ÷ 100
9R = 135 ⇒ R = 15.
So, rate of interest is 15%.
Answer :
Option CExplanation :
Let the rate of interest is R.
C.P. of each share = Rs. (50 − 5) = Rs. 45.
C.P. of 20 share = Rs. (45 x 20) = Rs. 900.
Face value of 20 shares = Rs. (50 x 20) = Rs. 1000.
(13.5 x 1000) ÷ 100 = (900 x R) ÷ 100
9R = 135 ⇒ R = 15.
So, rate of interest is 15%.
Jump to page number :