A man bought some fruits at rate of 16 for Rs. 24 and sold them at rate of 8 for Rs 18. profit perce

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7.Profit and Loss

hard

A man bought some fruits at the rate of $16$ for $Rs. 24$ and sold them at the rate of $8$ for $Rs$ $18.$ What is the profit percent?

A

$25$

B

$40$

C

$50$

D

$60$

Solution

$C.P.$ of fruits $=Rs. 24 / 16=Rs. 3 / 2$

$S.P.$ of fruits $=Rs. 18 / 8=Rs. 9 / 4$

Profit $\%=\frac{\text { S.P. }-\text { C.P. }}{\text { C.P. }} \times 100$

$=\frac{\frac{9}{4}-\frac{3}{2}}{\frac{3}{2}} \times 100=\frac{\frac{(9-6)}{4}}{\frac{3}{2}} \times 100$

$=\frac{\frac{3}{4}}{\frac{3}{2}} \times 100=\frac{3}{4} \times \frac{2}{3} \times 100=50 \%$

Standard 13

Quantitative Aptitude

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