Question

John bought a car for a certain sum of money. He spent $10\%$ of the cost on repairs and sold the car for a profit of Rs. $11000$. How much did he spend on repairs, if he made a profit of $20\%$?

• A. Rs. $4000$
• B. Rs. $5000$
• C. Rs. $4500$
• D. Rs. $5500$

Answer 1

The correct option is B Rs. $5000$

Let cost price of car $=x$

Spent on repair $=10\%$ of cost price $=10\%\text{of}x=\frac{x}{10}$

Total cost $=x+\frac{x}{10}=\frac{11x}{10}$

Now, given that profit $=$ Rs. $11000$

And profit percentage $=20\%$

$\Rightarrow \frac{\text{profit}\times 100}{\text{Cost price}}=20$

$\Rightarrow \frac{11000\times 100}{\frac{11x}{10}}=20$

$\Rightarrow x=\frac{11000\times 100\times 10}{11\times 20}=50000$

Therefore, spent on repair $=\frac{x}{10}=\frac{50000}{10}=$ Rs. $5000$