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

Solution

## The correct option is D Rs. $$150$$Let the C.P for $$A=$$ Rs. $$x$$ Profit $$=20\%$$Then S.P  for $$A$$ $$=\dfrac{120}{100}\times x=$$ Rs. $$\dfrac{12x}{10}$$S.P. for $$A=$$ C.P. for $$B$$ $$=$$ Rs. $$\dfrac{12x}{10}$$Profit $$=25\%$$then S.P for $$B$$ $$=\dfrac{25}{100}\times \dfrac{12x}{10}=$$ Rs. $$\dfrac{3x}{2}$$S.P. for $$B =$$ C.P. for $$C=$$ Rs. $$\dfrac{3x}{2}$$According to the question, C.P for $$C=$$ Rs. $$225$$$$\therefore \dfrac{3x}{2}=225$$$$\Rightarrow x=\dfrac{225\times 2}{3}=$$ Rs. $$150$$Hence, cost of the bicycle for $$A$$ is Rs. $$150$$.Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More