By selling 80 ball pens for Rs., 140 a retailer loses 30 % . How many ball pens should he sell for R

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7.Profit and Loss

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By selling 80 ball pens for $Rs.\, 140$ a retailer loses $30 \%$. How many ball pens should he sell for $Rs.\, 104$ so as to make a profit of $30 \% ?$

A

$32$

B

$52$

C

$48$

D

$52$

Solution

$C.P.$ for $80$ ball pens $=140 \times \frac{100}{70}=₹ 200$ For a gain of $30 \%$

$S.P.$ $=\frac{200 \times 130}{100}=₹ 260$

$\therefore \quad ₹ 260=80$ ball pens

$\therefore \quad ₹ 104=\frac{80}{260} \times 104=32$

Standard 13

Quantitative Aptitude

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