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7.Profit and Loss
medium
A fruit seller bought $240$ bananas at the rate of $Rs.\, 48$ per dozen. He sells half of them at the rate of $Rs.\,5$ per banana, $\frac{1}{6}$ th of the remaining are found to be rotten. The price per banana at which he has to sell the remaining bananas to get a profit of $25 \%$ on his entire investment is (in $Rs.$)
A
$5.5$
B
$6.0$
C
$5.0$
D
$6.5$
Solution
Total $C.P.$ $=\frac{240 \times 48}{12}=₹ 960$
$S.P.$ for a gain of $25 \%=\frac{960 \times 125}{100}=₹ 1200$
Amount received on half of bananas at $₹ 5$ per banana $=$ $120 \times 5=₹ 600$
Remaining bananas $=120 \times \frac{5}{6}=100$
$S.P.$ of these $100$ bananas $=₹ 600$
$\therefore \quad$ Rate $=Rs. 6$ per banana
Standard 13
Quantitative Aptitude
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