A sells an article to B at a gain of 20 % and B sells it to C at a gain of 10 % and C sells it to D

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7.Profit and Loss

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A sells an article to $B$ at a gain of $20 \%$ and $B$ sells it to $C$ at a gain of $10 \%$ and $C$ sells it to $D$ at a gain of $12 \frac{1}{2} \% .$ If $D$ pays $Rs.\, 29.70,$ then $A$ purchased the article for (in $Rs.$)

A

$40$

B

$10$

C

$20$

D

$30$

Solution

Let, the $C.P.$ for $A$ be $₹ x$

Now, according to the question,

$x \times \frac{120}{100} \times \frac{110}{100} \times \frac{225}{200}=29.70$

$\Rightarrow \quad x=\frac{29.70 \times 100 \times 100 \times 200}{120 \times 110 \times 225}=20$

Standard 13

Quantitative Aptitude

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