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51.

Kiran bought Rs.10 shares of a company. He received a rate of return which was one-third of the dividend rate he received. Market value of each share is _________. (in Rs.)A. 10B. `(10)/(3)`C. 30D. 15

Answer» Correct Answer - C
(i) Find the annual dividend from each share.
(ii) First of all, find the market value of each share.
(iii) Use, `"FV"xx"RD"="MV"xx"RR"`.
52.

Sashi bought Rs.16 shres of a company at `25%` dividend. Find the premium he paid for the shares (in Rs.), if he received `20%` rate of return.A. 4B. 3C. 6D. 5

Answer» Correct Answer - A
(i) Find the annual dividend from each share.
(ii) First of all, find the market value of each share.
(iii) Use, `"FV"xx"RD"="MV"xx"RR"`.
53.

Aswin bought some shares of Rs.75 from a company. He paid Rs.50 as a paid-up value of each share, Rs.32,000 as a paid-up capital. Find the total authorized capital of Aswin. (in Rs.)A. 40000B. 48000C. 56000D. 60000

Answer» Correct Answer - B
(i) `"Number of shares"=("Paid-u capital")/("Paid-up value of each share").`
(ii) `"Number of shares"=("Total paid-up value")/("Paid-up value per share")`
(iii) `"Total capital"=("Number of shares")("Rs.75")`.
54.

Shares worth Rs.300 each were bought at a discount of Rs.60. The dividend paid was `6%` per annum. Find the rate return.A. `5%` per annumB. `6%` per annumC. `7.5%` per annumD. `8%` per annum

Answer» Correct Answer - C
Face value of each share = Rs.300
Discound/share = Rs.60
`"Market value of each share (in Rs.)"=300-60=240`
`"Dividend rate"=6%" per annum"`
`"Dividend/share"=6%" of (Rs.300) = Rs.18"`
Let the rate return be `r%`
`r=(18)/(240)(100)=7.5%`.
55.

Amit bought 150 shares of Rs.100 each. The paid-up value of each share is Rs.60. Find the amount to be paid as a second instalment. (in Rs.)A. 5000B. 6000C. 4500D. 7500

Answer» Correct Answer - B
Find the paid-up capital.
56.

Lavan had two types of shares. He had 800 shares of type A which gave him an annual dividend of Rs.4000. If he had 200 more shares of type B than A, which gave him the same annual dividend, then find his annual income from each share of B. (in Rs.)A. 4B. `3.50`C. 2D. `2.50`

Answer» Correct Answer - A
(i) Annual divided from each share
`=("Total annual dividend")/("Total number of shares")`.
(ii) Number of shares of type B = (Number of shares of type A) + 1200.
(iii) Total dividend on shares of type B = Total dividend on shares of type A = Rs.4000.
(iv) Annual income from each share of type
`"B"=("Total dividend for type B")/("Number of shares of type B")`.
57.

Which is better investment: Rs.300 shares at Rs.320 thay pays a dividend of `10%`, or Rs.200 shares at Rs.215 that pays a dividend of `10%`?

Answer» Let the investment made in each case be Rs.`(320xx215)`
Case 1 : Rs.300 shares at Rs.320 paying a dividend of `10%`
Annual income from each share `=10%` of `300=(10)/(100)xx300="Rs."30`
`"Number of shares bought"=("Total investment")/("Market value of each share")=(320xx215)/(320)=215`
`rArr "Annual income from 215 shares "= Rs.(215xx30)=`Rs.6450.
Case 2 : Rs.200 shares at Rs.215 paying a dividend of `10%`
`"Annual inocme from each share"=10%" of 200"=(10)/(100)xx200="Rs."20`
`"Number of shares bought"=("Total investment")/("Market value of each share")=(320xx215)/(215)=320`
`therefore" Annual income from 320 shares "="Rs."(320xx20)=6400.`
So, it can observed that the same abount of investment is made in each case, but the income is more in the first case.
`therefore10%, "Rs.300 shares at Rs.320 is better investment."`
58.

Gopal bought two types of shares P and Q, of a company at their face values. The dividend rates provided by P and Q are `9%` and `12%`, respectively. Gopal received an annual dividend of Rs.4500 more from P than from Q. Which of the following can be the ratio of his investments in P and Q?A. `6:5`B. `5:4`C. `4:3`D. `2:1`

Answer» Correct Answer - D
(i) The ratio of rate of dividents on P and Q is `3:4`
(ii) If the ratio of investments on P and Q is `4:3`, dividend is same on both P and Q.
(iii) Therefore, required investment must be more than `4:3` for the given condition.
(iv) Check the options to get the ratio which is more than `4:3`.