Question

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

• A. Rs. $110$
• B. Rs. $120$
• C. Rs. $125$
• D. Rs. $150$

Answer 1

The correct option is D Rs. $150$

Let the C.P for $A=$ Rs. $x$

Profit $=20\%$

Then S.P for $A$ $=\frac{120}{100}\times x=$ Rs. $\frac{12x}{10}$

S.P. for $A=$ C.P. for $B$ $=$ Rs. $\frac{12x}{10}$

Profit $=25\%$

then S.P for $B$ $=\frac{25}{100}\times \frac{12x}{10}=$ Rs. $\frac{3x}{2}$

S.P. for $B=$ C.P. for $C=$ Rs. $\frac{3x}{2}$

According to the question,

C.P for $C=$ Rs. $225$

$\therefore \frac{3x}{2}=225$

$\Rightarrow x=\frac{225\times 2}{3}=$ Rs. $150$

Hence, cost of the bicycle for $A$ is Rs. $150$.