Question

A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain/loss percentage?
1. Gain 11%
2. Loss 9%
3. Loss 11%
4. Gain 9%

Answer 1

Correct Answer - Option 1 : Gain 11%

Give

A shopkeeper marks his goods at 20% above the cost price.

He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price.

Formula used

MP(1 - D/100) = SP

MP = Marked Price

SP = Selling Price

D = Discount

Calculation

Let CP be Rs.x

⇒ MP = 1,2x

⇒ SP of 3/4 goods = (3/4) × 1.2x

⇒ 0.9x

⇒ SP of remaining 1/4 goods = (70/100) × (1/4) × 1.2x

⇒ 0.21x

⇒ Total SP = 0.9x + 0.21x = 1.11x

⇒ Gain = 1.11x - x = 0.11x

⇒ Gain% = .11x/x × 100

∴ Gain% is 11%