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Mathematics

Assertion (A) : It is better to invest in 16% ₹ 100 shares at ₹ 80 than in 20% ₹ 100 shares at ₹ 120.

Reason (R) : Performance of any share depends on returns %.

Return % = (IncomeInvestment×100)%\Big(\dfrac{\text{Income}}{\text{Investment}} \times 100\Big)\%

  1. A is true, R is false.

  2. A is false, R is true.

  3. Both A and R are true.

  4. Both A and R are false.

Shares & Dividends

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Answer

Since, Profit% on M.V. = Dividend% on N.V.

In first case :

P% on ₹ 80 = 16% on ₹ 100

P100×80=16100×100\Rightarrow \dfrac{P}{100} \times 80 = \dfrac{16}{100} \times 100

P=1680×100\Rightarrow P = \dfrac{16}{80} \times 100 = 20%.

In second case :

P% on ₹ 120 = 20% on ₹ 100

P100×120=20100×100\Rightarrow \dfrac{P}{100} \times 120 = \dfrac{20}{100} \times 100

P=20120×100=1646%\Rightarrow P = \dfrac{20}{120} \times 100 = 16\dfrac{4}{6}\%

∴ It is better to invest in 16% ₹ 100 shares at ₹ 80.

∴ Assertion (A) is true.

By formula,

Return % = (IncomeInvestment×100)%\Big(\dfrac{\text{Income}}{\text{Investment}} \times 100\Big)\%.

∴ Reason (R) is true.

Hence, Option 3 is the correct option.

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