Question

A machine is sold at a profit of $10\%$. Had it been sold for Rs. $40$ less, there would have been a loss of $10\%$ . What was the cost price?

• A. Rs. $175$
• B. Rs. $200$
• C. Rs. $225$
• D. Rs. $250$

Answer 1

The correct option is B Rs. $200$

Let the cost price, C.P. be Rs. $x$

Profit $=10\%$

Hence, S.P. $=1.1\left(x\right)=$ Rs. $1.1x$

If a loss has been incurred, then the selling price of the machine would be Rs. $0.9x$.

Difference in selling prices $=40$

$1.1x-0.9x=40$

$0.2x=40$ or $x=200$

The cost price of the machine is Rs. $200$.