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Namita offers a discount of 20%on all the items at her shop and still makes a profit of 12%.What is the C. P. of an article marked at Rs 280? |
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Answer» Answer: COST Price = Rs. 200 Step-by-step explanation: Marked price of the ARTICLE ( MP ) = ₹ 280 Discount percentage ( d % ) = 20 % Profit percentage ( p % ) = 12 % Now, first of all let the cost price of the article ( CP ) be ₹ ' X '. Discount = 20 % of MP Discount = 20 % of ₹ 280 Discount = 20/100 * 280 Discount = 0.2 * 280 Discount = 2 * 28 Discount = ₹ 56 Hence, SP = MP - Discount SP = ₹ 280 - ₹ 56 SP = ₹ 224 Selling price of the article = ₹ 224 We know that, Profit = p % of CP Profit = 12 % of x Profit = 12X / 100 Profit = ₹ 0.12 x Now, SP = CP + Profit ₹ 224 = x + 0.12 x ₹ 224 = 1.12 x 224 = 112x / 100 22400 = 112 x x = 22400 / 112 x = ₹ 200 Hence, Cost price of the article = ₹ x = ₹ 200 |
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