Question
Article P is marked up by Z% above its cost price and
sold after two successive discounts of Rs. 40 and 10% respectively. Article Q is sold at Rs. Y, earning a profit of (Z – 8)%. Selling price of article P is Rs. 1044, which is Rs. 44 more than its cost price. The ratio of cost price of article Q to that of P is 5:4. Find the value of Y.Solution
ATQ, Selling price of P = Rs. 1044 Now, (MRP – 40) × 9/10 = 1044 MRP – 40 = 1044 × 10/9 = 1160 Marked price of P = 1160 + 40 = 1200 Cost price of P = 1044 – 44 = 1000 Value of Z% = (1200 – 1000)/1000 × 100 = 20% Cost price of Q = 5/4 × 1000 = 1250 Profit% on Q = Z – 8 = 20 – 8 = 12% Value of Y = 1250 × 112/100 = Rs. 1400
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