Jacob bought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20% ?

Solution (By Examveda Team)

$$\eqalign{ & {\text{Let the C.P. be Rs. }}x \cr & {\text{Then, }}20\% {\text{ of }}x = 1100 \cr & \Rightarrow \frac{{20}}{{100}} \times x = 1100 \cr & \Rightarrow x = 5500 \cr & {\text{C}}{\text{.P}}. = {\text{Rs}}{\text{. }}5500 \cr} $$
Expenditure on repairs = 10%
$$\eqalign{ & {\text{Actual price}} \cr & = {\text{Rs}}.\left( {\frac{{100}}{{110}} \times 5500} \right) \cr & = {\text{Rs}}{\text{. }}5000. \cr & \therefore {\text{Expenditure on repairs}} \cr & = {\text{Rs}}.\left( {5500 - 5000} \right) \cr & = {\text{Rs}}{\text{. }}500 \cr} $$