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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% |
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Answer» 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%
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