Question

By selling a table at Rs 475, a person loses 5%. To get a gain of 5%, he should sell the table for:

• A. Rs 500
• B. Rs 525
• C. Rs 535
• D. Rs 575

Hint:

Use formulas:
Loss % → SP = (100 - loss%) of CP
Gain % → SP = (100 + gain%) of CP

Answer 1

The Correct Option is B

Step 1: Let cost price (CP) = \(x\)
Step 2: Loss of 5% at selling price (SP) 475 
Loss means SP < CP 
\[ SP = CP - 5% \text{ of } CP = 0.95x = 475 \] \[ x = \frac{475}{0.95} = 500 \] So, CP = Rs 500 
Step 3: To gain 5%, new SP should be 
\[ SP = CP + 5% \text{ of } CP = 1.05 \times 500 = 525 \] Thus, Option (B) Rs 525 is correct.