Question
A shopkeeper obtained an accessory for Rs. ‘a’ and
marked it 170% above its cost price, then sold it after offering two successive discounts of 1000 and 35%, respectively, and garnered a profit of Rs. 5a/8. Find the marked price of the accessory.Solution
Let Cost Price (CP) = Rs. a Marked Price (MP) after 170% markup = CP + 170% of CP = a + 1.7a = 2.7a Selling Price (SP) after both discounts = 2.7a – 1000 – 0.35 * (2.7a – 1000) = 1.755a – 650 According to the problem, Profit earned = Rs. 5a/8. Therefore, SP = CP + Profit = a + 5a/8 = 13a/8 Or, 1.755a – 650 = 13a/8 Or, 1.04a = 5200 Or, a = 5000 Therefore, Marked price = 270% * 5000 = Rs 13,500
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