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1.

Find the amount at the end of 12 years of an annuity of Rs 5,000 payable at the beginning of each year, if the money is compounded at 10% per annum.

Answer»

Here a = 5000, i = 10% = \(\frac{10}{100}\) = 0.1, n = 12

Amount A = (1 + i) \(\frac{a}{i}\)[(1 + i)n – 1] 

= (1 + 0.1) \(\frac{5000}{\frac{10}{100}}\)[(1 + 0.1)12 – 1] 

= (1.1) 50000 [(1.1)12 – 1] 

= 55000 [3.1384 – 1] 

= 55000 [2.1384] 

= Rs 1,17,612

2.

The brokerage paid by a person on this sale of 400 shares of face value Rs 100 at 1% brokerage: (a) Rs 600 (b) Rs 500 (c) Rs 200 (d) Rs 400

Answer»

(d) Rs 400

Brokerage = 400 x 100 x \(\frac{1}{100}\) = Rs 400

3.

A man buys 400 of Rs 10 shares at a premium of Rs 2.50 on each share. If the rate of dividend is 12% find(i) his investment (ii) annual dividend received by him(iii) rate of interest received by him on his money

Answer»

(i) Given Number of shares = 400 

Face value of a share Rs 10 market values of a share 

= 10 + 2.50 = Rs 12.50 

Investment = Number of shares x Market value of a share 

= Rs 400 x 12.50 = Rs 5000

(ii) Annual dividend = Number of shares x Face value x Rate of dividend 

= 400 x 10 x \(\frac{12}{100}\)

= Rs 480

(iii) Rate of dividend = \(\frac{Dividend}{Investment}\) x 100 

= \(\frac{480}{5000}\) x 100 

\(\frac{48}{5}\) 

= 9.6%

4.

What is the amount related is selling 8% stacking 200 shares of face value 100 at 50? (a) 16,000 (b) 10,000 (c) 7,000 (d) 9,000

Answer»

(b) 10,000

Amount = 200 x 50 = 10000

5.

Which is better investment? 7% of Rs 100 shares at Rs 120 (or) 8% of Rs 100 shares at Rs 135.

Answer»

Let the investment in each case be Rs (120 x 135) 

Case (i): Income from 7% of Rs 100 shares at Rs 120 

= \(\frac{7}{120}\) x 120 x 135 

= 7 x 135 

= Rs 945

Case (ii): Income from 8% of Rs 100 shares at Rs 135

= \(\frac{8}{135}\) x (120 x 135) 

= 8 x 120 

= Rs 960 

∴ 8% of 100 shares at Rs 135 is better investment.

6.

A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of: (a) Rs 80 (b) Rs 115.20(c) Rs 120 (d) Rs 125.40

Answer»

(a) Rs 80

Let x be B stock worth. 

Then (x) x \(\frac{12}{100}\) = \(\frac{10}{100}\) x 96 

(x) x 12 = 10 x 96 

x = 80

7.

If the dividend received from 9% of Rs 20 shares is Rs 1,620, find the number of shares.

Answer»

Income = Number of shares x Face value of a share x Rate of dividend 

1620 = Number of shares x 20 x \(\frac{9}{100}\)

Number of shares = \(\frac{1620\times100}{20\times9}\) = 900 shares

8.

The Income on 7 % stock at 80 is: (a) 9% (b) 8.75% (c) 8% (d) 7%

Answer»

(b) 8.75%

Income = \(\frac{7}{80}\) x 100 

= 0.0875 x 100 

= 8.75%

9.

An example of a contingent annuity is:(a) Life insurance premium (b) An endowment fund to give scholarships to a student (c) Personal loan from a bank(d) All the above

Answer»

(b) An endowment fund to give scholarships to a student