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A shopkeeper sold a mobile charger at Rs. 864, after giving a discount of 4%. Had he not given the discount, he would have earned a profit of \(11\frac{1}{9}\)% on the cost price. What was the cost price of charger (In Rs.)?1. 8002. 8503. 9104. 810 |
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Answer» Correct Answer - Option 4 : 810 Given: Selling price of charger for shopkeeper = 864 % Discount offered = 4% Profit percent earned = \(11\frac{1}{9}\)% Formula used: Selling price = marked price – discount % Discount = (Discount/M.P) × 100 Cost price = 100/(100 + a%) × selling price Where a% → percent profit Concept used: Profit/loss is always calculated on C.P Discount is always calculated on M.P Selling price of an article is same as marked price of the article, when no discount is being offered Calculation: Let M.P of charger be X % Discount = (Discount/M.P) × 100 ⇒ Discount = 4% of X ⇒ 0.04X S.P = X – 0.04X ⇒ 0.96X = 864 ⇒ X = 864/0.96 = 900 Now, M.P of charger = 900 No discount is offered, M.P of charger becomes equal to S.P of charger S.P = 900 and% Profit = 11 (1/9)% C.P = 100/ (100 + 100/9) × 900 ⇒ (900/1000) × 900 ⇒ 810 ∴ C.P of charger is Rs. 810. |
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