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A man purchased some fruits for Rs. 1000. He sold few fruits worth 400 at 10% profit. At what profit per cent, must he sell the rest in order to gain 20% on the whole?

A. $26 \frac{2}{3} \%$ B. 25% C. 30% D. $33 \frac{1}{3} \%$ Answer: Option A
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Solution(By Apex Team)

To get 20% profit on whole, 1000(CP) ⇒ 20%(gain) ⇒ 1200(SP) Total Profit = 1200 – 1000 = Rs. 200 400 ⇒ 10%(gain) ⇒ 440 He gets Rs. 40 profit on 400 Rest Profit = 200 – 40 = 160 Then he must get Rs. 160 as profit on Rs. 600 Hence, % profit $\begin{array}{l} =\Large\frac{160 \times 100}{600} \\ =\Large\frac{80}{3} \\ =26 \Large\frac{2}{3} \%\end{array}$

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