A sells a bicycle to B at a profit of 20 %. B sells it to C at a profit of 25 %. If C pays Rs.,225 f

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7.Profit and Loss

easy

A sells a bicycle to $B$ at a profit of $20 \%.$ B sells it to $C$ at a profit of $25 \%.$ If $C$ pays $Rs.\,225$ for it, the cost price of the bicycle for $A$ is (in $Rs.$)

A

$110$

B

$120$

C

$125$

D

$150$

Solution

Let the cost price of bicycle to $A$ be $Rs.$ $x$.

$\therefore \quad x \times \frac{120}{100} \times \frac{125}{100}=Rs. 225$

$\therefore$ $x=\frac{225 \times 100 \times 100}{120 \times 125}$

$=\frac{9 \times 100 \times 100}{120 \times 5}=\frac{300}{2}=Rs. 150$

Standard 13

Quantitative Aptitude

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