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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.

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. Shares, Concise Mathematics Solutions ICSE Class 10.

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 = Total investmentMarket value of each share=15000120=125\dfrac{\text{Total investment}}{\text{Market value of each share}} = \dfrac{15000}{120} = 125

Annual Income from Company X = No. of shares × Rate of div. × N.V. of 1 share

= 125 × 8100\dfrac{8}{100} × 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 = Total investmentMarket value of each share=150008=1875\dfrac{\text{Total investment}}{\text{Market value of each share}} = \dfrac{15000}{8} = 1875

Annual Income from Company Y = No. of shares × Rate of div. × N.V. of 1 share

= 1875 × 6100\dfrac{6}{100} × 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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