A man loses 20 frac{1}{2} % of his money and after spending 80 % of remainder, he is left with Rs.,

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7.Profit and Loss

easy

A man loses $20 \frac{1}{2} \%$ of his money and after spending $80 \%$ of the remainder, he is left with $Rs.\, 159 .$ How much did he have at first? (in $Rs.$)

A

$1000$

B

$1200$

C

$500$

D

$800$

Solution

Let initial, amount of money be ₹ $x$

He loses $20\frac{1}{2} \%$ then he left with $=\left(x-\frac{41}{2 \times 100}-x\right)$

$=₹ 0.795 x$

After spending $80 \%$ of remainder he left with $Rs.159$

So, $0.795 x-\frac{80}{100} \times 0.795 x=0.2 \times 0.795 x=159$

$x=Rs. 1000$

Standard 13

Quantitative Aptitude

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