A sells a bicycle to B at a profit of 20 % and B sells it to C at a profit of 25 % . If C pays R s .

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7.Profit and Loss

medium

A sells a bicycle to $B$ at a profit of $20 \%$ and $B$ sells it to $C$ at a profit of $25 \% .$ If $C$ pays $R s .\,1500,$ what did $A$ pay for it in $RS.$?

A

$825$

B

$1000$

C

$1100$

D

$1125$

Solution

Let $CP$ for $A$ be Rs. 100

A sells it to $B$ at $20 \%$ profit

Rs. $[100+20 \%$ of 100$]=$ $Rs. 120$

Now $B$ sells it to $C$ at $25 \%$ profit

Rs. $[120+25 \%$ of $120]=$ $Rs. 150$

If $C$ buys at $Rs.$ $150$ A bought at $Rs .100$

Hence, by unitary method,

If $C$ bought at $\operatorname{Rs} .1500,$ A paid $=$ Rs. $\left[\frac{100}{150} \times 1500\right]=$ $Rs. 1000$

Standard 13

Quantitative Aptitude

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