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A shopkeeper earns a profit of 25% when he sells an article by allowing 20% discount on its marked price. If the cost price of the article is decreased by 20%, how much discount percent should he allow now on the same marked price so as to earn the same percentage of profit as earlier?1. 32%2. 36%3. 35%4. 40% |
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Answer» Correct Answer - Option 2 : 36% Given : A shopkeeper gained 25% while allowing 20% discount Formula used : Selling price = Marked price - discount on marked price Selling price = cost price + profit on cost price Calculations : Let the initial cost price be 100x Selling price = 100x + 25% of 100x ⇒ 125x Selling price = Marked price - 20% of marked price Marked price = 625x/4 = 156.25x Now Cost price got decreased by 20%, so new cost price New cost price = 80x New selling price = 80x + 25% of 80x ⇒ 100x Discount per cent on marked price to get this selling price Discount per cent = (Marked price - selling price)/(Marked price) × 100 ⇒ (156.25x - 100x)/(156.25x) × 100 ⇒ 36% ∴ Discount should be 36% |
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