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Mathematics

A person invests ₹4368 and buys certain hundred-rupee shares at ₹91. He sells out shares worth ₹2400 when they have risen to ₹95 and the remainder when they have fallen to ₹85. Find the gain or loss on the total transaction.

Shares & Dividends

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Answer

Total Investment = ₹4368

Nominal value per share = ₹100

Market value per share = ₹91

∴ Number of shares purchased

=Total InvestmentMV per share=436891=48= \dfrac{\text{Total Investment}}{\text{MV per share}} \\[0.7em] = \dfrac{4368}{91} \\[0.5em] = \bold{48}

Number of shares worth (face value) ₹2400

=2400100=24= \dfrac{2400}{100} \\[0.5em] = 24

Hence, the person sold 24 shares at ₹95.

∴ The selling value of 24 shares at ₹95 each
= ₹(24 x 95) = ₹2280

The number of remaining shares = 48 - 24 = 24

Hence, the person sold the remaining 24 shares at ₹85.

∴ The selling value of 24 shares at ₹85 each
= ₹(24 x 85) = ₹2040

∴ Total selling value = ₹2280 + ₹2040 = ₹4320

Total Gain/Loss = New Selling Value - Initial Investment
= ₹4320 - ₹4368 = -₹48

As new selling value is less than initial investment hence there is a loss of ₹48 on the total transaction.

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