'A' bought a certain quantity of oranges at total cost of Rs., 1200 /- He sold 1 / 3^{text {

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7.Profit and Loss

hard

$'A'$ bought a certain quantity of oranges at total cost of $Rs.\, 1200 /-$ He sold $1 / 3^{\text {rd }}$ of those oranges at $20 \%$ loss. If $A$ earns an overall profit of $10 \%,$ at what percent profit did $A$ sell the rest of the oranges?

A

$16$

B

$15$

C

$22$

D

$25$

Solution

Let $C.P.$ of such orange be $₹ 100$

$\therefore$ No of oranges $=\frac{1000}{100}=12$

$S.P.$ of $(12)$ oranges $=\frac{1200 \times 110}{100}$ $=₹ 1320$

$4$ oranges are sold on $20 \%$ loss

$S.P.$ $=\frac{400 \times 80}{100}=₹ 320$

$\therefore$ Required $S.P$ of remaining $8$ oranges

$=₹ 1320-320=₹ 1000$

$\therefore$ Required profit $\%$ $=\frac{1000-800}{800} \times 100$

$=25\%$

Standard 13

Quantitative Aptitude

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