Ram sells an article to Girish at a gain 20 % , Girish sells it to Sanjay at a gain of 10 % and Sanj

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7.Profit and Loss

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Ram sells an article to Girish at a gain $20 \%$, Girish sells it to Sanjay at a gain of $10 \%$ and Sanjay sells it to Aditya at a gain of $12 \frac{1}{2} \% .$ If aditya pay $Rs.\, 59.40.$ What did it cost Ram in $Rs.$?

$40$

$22$

$24$

$18$

Here, Aditya paid $Rs. 59.40$ for article

But before that there were $3$ transactions of gain $20 \%$ , $10 \%$ and $12.5 \%$

So, initially Ram would have bought article at Rs. $x$

$\Rightarrow \ x \times \frac{100+20}{100} \times \frac{100+10}{100} \times \frac{100+12.5}{100}=$ $Rs. 59.40$

$x=\frac{59.40 \times 100 \times 100 \times 100}{120 \times 110 \times 112.5}=\text { Rs. } 40$

Standard 13

Quantitative Aptitude

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easy

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