Mathematics
Case study:
Share market is a place where investors trade different instruments like stocks, mutual funds, etc.
It is a place where companies sell parts (called shares) of their companies and investors buy them in expectation of greater returns.
Mr. Reddy wants to invest his money in company which gives a better return. He has following options:
Company X : ₹ 100 shares are available at ₹ 120 with a dividend of 8% p.a.
Company Y : ₹ 10 shares are available at ₹ 8 with a dividend of 6% p.a.

Based on the above information, answer the following questions :
(i) If Mr. Reddy wants to invest ₹ 15,000 in company X, then what will be his Annual Income ?
(ii) If Mr. Reddy wants to invest ₹ 15,000 in company Y, then what will be his Annual Income ?
(iii) Which company is a better option for Mr. Reddy to invest in ?
Shares & Dividends
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Answer
(i) Given,
For company X :
N.V = ₹ 100
M.V. = ₹ 120
Dividend = 8%
Investment = ₹ 15,000
Number of shares =
Annual Income from Company X = No. of shares × Rate of div. × N.V. of 1 share
= 125 × × 100
= 125 × 8
= ₹ 1,000.
Hence, annual income from Company X = ₹ 1,000.
(ii) Given,
For company Y :
N.V = ₹ 10
M.V. = ₹ 8
Dividend = 6%
Investment = ₹ 15,000
Number of shares =
Annual Income from Company Y = No. of shares × Rate of div. × N.V. of 1 share
= 1875 × × 10
= 1875 × 0.6
= ₹ 1,125
Hence, annual income from Company Y = ₹ 1,125.
(iii) Annual income from Company X = ₹ 1,000
Annual income from Company Y = ₹ 1,125
Since, ₹ 1,125 > ₹ 1,000
Thus, company Y gives better return than company X.
Hence, it is a better option to invest in company Y.
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Related Questions
Anaya invests a sum of money in ₹ 50 shares, paying 15% dividend quoted at 20% premium. If her annual dividend is ₹ 600, calculate :
(i) the number of shares she bought.
(ii) her total investment.
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(b) the number of shares he sold.
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Mr. Gautam sold a certain number of ₹ 20 shares paying 8% dividend at ₹ 18 and invested the proceed in ₹ 10 shares paying 12% dividend at 50% premium. If the change in his annual income is ₹ 120, find the number of shares sold by Mr. Gautam.
A man invests ₹ 50,000 of his savings in 12%, ₹ 100 shares at ₹ 125 another ₹ 60,000 in 15%, ₹ 100 shares at ₹ 120 and remainder 18% ₹ 100 shares at ₹ 140. If his annual income is ₹ 21,300 find :
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(ii) the investment in third company.