A men bought apples at rate of 8 for Rs., 34 and sold them at rate of 12 for Rs., 57 . How many appl

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7.Profit and Loss

hard

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

A

$90$

B

$100$

C

$135$

D

$150$

Solution

$C.P. =Rs. \frac{34}{8} ; \quad S.P. =Rs. \frac{57}{12}$

Let $x$ be the number of apples sold

$\therefore \quad 45=(\text { S.P. }-\text { C.P.) } x$

or $x=\frac{45}{ S.P. – C.P. }=\frac{45}{\frac{57}{12}-\frac{34}{8}}=\frac{45}{\frac{114-102}{24}}=\frac{45 \times 24}{12}=Rs. 90$

Standard 13

Quantitative Aptitude

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