Question

Sanjay sold his watch for Rs.1140 and thereby loses $5%$. In order to gain $5%$ he has to sell the watch for

• A. Rs.1254
• B. Rs.1260
• C. Rs.1197
• D. Rs.1311

Hint:

For reverse % problems, jump via CP: SP\(_{\text{loss}}\!=\!(1-\ell)\)CP; SP\(_{\text{gain}}\!=\!(1+g)\)CP.

Answer 1

The Correct Option is B

Step 1 (Find CP): $5%$ loss $\Rightarrow$ $1140=0.95\times\text{CP} \Rightarrow \text{CP}=1140/0.95=1200$.
Step 2 (Target SP for $5%$ gain): $\text{SP}=1.05\times 1200=\boxed{1260}$.