Question

A table was sold at a gain of 10%. Had it been sold for Rs. 30 more, the gain would have been 15%. The cost price of the table is:

• A. Rs. 300
• B. Rs. 500
• C. Rs. 400
• D. Rs. 600

Hint:

To find the cost price when the selling price changes with a percentage increase, set up equations using: \[ SP = CP + \text{Profit Percentage} \times CP \] and solve for CP.

Answer 1

The Correct Option is D

Let the cost price of the table be \( C \) Rs. - Selling price at 10% gain: \[ SP_1 = C + \frac{10}{100}C = 1.1C \] - Selling price at 15% gain: \[ SP_2 = C + \frac{15}{100}C = 1.15C \] Since the second selling price is Rs. 30 more: \[ 1.15C = 1.1C + 30 \] \[ 0.05C = 30 \] \[ C = \frac{30}{0.05} = 600 \]
Thus, the cost price of the table is Rs. 600.