Question

If Punit purchased goods of Rs. 450 and sold 1/3 of it at a loss of 10%, then what should be the gain percentage on the remaining items that should be sold so as to gain 20% on the whole transaction?
1. 32%
2. 35%
3. 28%
4. 30%

Answer 1

Correct Answer - Option 2 : 35%

Given:

Punit purchased goods of Rs. 450 and sold 1/3 at a loss of 10%

The gain has to be 20% on the whole transaction.

Formula Used:

Profit percentage = {(SP – CP)/CP} × 100

Calculation:

Let the remaining gain % be = 'a'

150 × 90/100 + 300 × (100 + a)/100 = (450 × 120)/100

⇒ 135 + 3 × (100 + a) = 540

⇒ 3 × (100 + a) = 540 – 135 = 405

⇒ 100 + a = 135

⇒ a = 35

∴ Gain percentage should be 35% on the remaining items.