A man purchased 150 pens at rate of Rs., 12 per pen. He sold 50 pens at gain of 10 % . percentage ga

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7.Profit and Loss

hard

A man purchased $150$ pens at the rate of $Rs.\, 12$ per pen. He sold 50 pens at gain of $10 \% .$ The percentage gain at which he must sell the remaining pens so as to gain $15 \%$ on the whole outlay is........$\%$

$21 \frac{1}{2}$

$20$

$17$

$17 \frac{1}{2}$

Required $S.P.$ of $150$ pens

$=150 \times 12 \times \frac{115}{100}=₹ 2070$

$S.P.$ of first $50$ pens $=\frac{50 \times 12 \times 110}{100}=₹ 660$

$C.P.$ of $100$ pens $=₹ 1200$

Let, the required gain $\%$ be $x$.

Now, according to the question,

$\frac{1200 \times(100+x)}{100}+660=2070$

$\Rightarrow 1200+12 x=2070-660=1410$

$\therefore \quad x=\frac{1410-1200}{12}=\frac{210}{12}=\frac{35}{2}=17 \frac{1}{2} \%$

Standard 13

Quantitative Aptitude

medium

hard

medium

hard

medium