Aman buys 5 laptops and 7 computers for Rs. 58500 . He sells laptops at a profit of 10 % and compute

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7.Profit and Loss

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Aman buys $5$ laptops and $7$ computers for $Rs.$ $58500 .$ He sells the laptops at a profit of $10 \%$ and computers at a profit of $16 \%$ and his whole gain is $Rs.$ $7110.$ What price does he pay for a laptop? (in $Rs.$)

A

$7500$

B

$8200$

C

$9100$

D

$10500$

Solution

Let Aman pays $Rs.\, y$ for a laptop

Rate of $5$ laptops $=$ $Rs.$ $5 y$

Rate of $7$ computers $=$ $Rs.$ $(58500-5 y)$

Total gain $=(10 \%$ of $5$ laptops $+16 \%$ of $7$ computer sets)

$\Rightarrow 7110=\frac{10 \times 5 y }{100}+\frac{16}{100}(58500-5 y )$

$\Rightarrow 7110=\frac{y}{2}+\frac{4}{25}(58500-5 y)$

$y =\frac{22500}{3}= Rs .7500$ (cost of one laptop)

Standard 13

Quantitative Aptitude

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