A man sold a cow at a loss of 12 % . If he had been able to sell it at a gain of 6 %, it would have

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7.Profit and Loss

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A man sold a cow at a loss of $12 \%$. If he had been able to sell it at a gain of $6 \%,$ it would have etched $Rs\,72$ more than it did. What was the cost price?

A

$300$

B

$500$

C

$400$

D

$600$

Solution

$(106)$$\%$ of cost price $-(100-12) \%$ of cost price $=₹ 72$

$\therefore$ cost price $=$$\frac{{72}}{{\frac{{106 – 88}}{{100}}}}$$\times \frac{72 \times 100}{18}=₹ 400$

Standard 13

Quantitative Aptitude

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