Question
Cost price of an article M is Rs. 600 less than that of
N. M and N are marked 50% and 20% above their cost price respectively. M and N are sold after allowing discounts of Rs. 300 and Rs. 200 respectively. Profit earned by M is Rs. 200 more than that earned by N. Find the marked price of M.Solution
Let the cost price of N be Rs. βaβ Cost price of M = Rs. (a β 600) Marked price of M
= 1.5 Γ (a β 600)
= Rs. (1.5a β 900) Marked price of N
= 1.2 Γ a
= Rs. 1.2a Selling price of M
= 1.5a β 900 β 300
= Rs. (1.5a β 1200) Selling price of N
= 1.2a β 200 Profit earned by M
= 1.5a β 1200 β a + 600
= Rs. (0.5a β 600) Profit earned by N
= 1.2a β 200 β a
= Rs. (0.2a β 200) ATQ, 0.5a β 600 = 0.2a β 200 + 200 Or, 0.5a β 600 = 0.2a Or, 0.3a = 600 Or, a = 2000 Marked price of M
= 1.5 Γ 2000 β 900
= 3000 β 900
= Rs. 2,100
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