A man bought 500 metres of electronic wire at 50 paise per metre. He sold 50 % of it at a profit of

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7.Profit and Loss

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A man bought $500$ metres of electronic wire at $50$ paise per metre. He sold $50 \%$ of it at a profit of $5 \%$ At what percent should he sell the remainder so as to gain $10 \%$ on the whole transaction?

A

$13$

B

$12.5$

C

$15$

D

$20$

Solution

$C.P$ of $500 m$ wire $=500 \times .5=₹ 250$

$S.P$ of $250 m$ wire $=105 \%(125)=₹ 131.25$

To have $10 \%$ profit overall $=110 \%(250)=₹ 275$

Remaining wire should be sold at $275-131.25=₹ 143.75$

Required$\%$ $=\frac{143.75-125}{125} \times 100=15 \%$

Standard 13

Quantitative Aptitude

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