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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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