Question
Cost price of an article C is Rs. 400 less than that of
D. C and D are marked 45% and 20% above their cost price respectively. C and D are sold after allowing discounts of Rs. 200 and Rs. 150 respectively. Profit earned by C is Rs. 100 more than that earned by D. Find the marked price of C.Solution
Let the cost price of D be Rs. ‘a’ Cost price of C = Rs. (a − 400) Marked price of C = 1.45 × (a − 400) = Rs. (1.45a − 580) Marked price of D = 1.2a Selling price of C = 1.45a − 580 − 200 = Rs. (1.45a − 780) Selling price of D = 1.2a − 150 Profit earned by C = 1.45a − 780 − a + 400 = Rs. (0.45a − 380) Profit earned by D = 1.2a − 150 − a = Rs. (0.2a − 150) ATQ, 0.45a − 380 = 0.2a − 150 + 100 Or, 0.45a − 380 = 0.2a − 50 Or, 0.25a = 330 Or, a = 1320 Marked price of C = 1.45 × (1320 − 400) = 1.45 × 920 = Rs. 1,334
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