A man bought orange at rate of 8 for Rs.,34 and sold them at rate of 12 for Rs.,57. How many oranges

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7.Profit and Loss

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A man bought orange at the rate of $8$ for $Rs.\,34$ and sold them at the rate of $12$ for $Rs.\,57.$ How many oranges should be sold to earn a net profit of $Rs.\,45?$

A

$90$

B

$100$

C

$135$

D

$150$

Solution

Let, the man buy ($LCM$ of $8$ and $12$) oranges

Therefore,

$C.P.$ of $24$ oranges $=\frac{34}{8} \times 24$

$=34 \times 3=Rs. 102$

$S.P.$ of $24$ oranges $=\frac{57}{12} \times 24$

$=57 \times 2=₹ 114$

$\operatorname{Gain}=₹ 114-₹ 102$

Gain $=₹ 12$

Thus, $₹12$ $=24$ oranges.

Hence, $₹ 45=\frac{24}{12} \times 45=90$ oranges.

Standard 13

Quantitative Aptitude

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