Cost price of an article A is Rs. 400 less than that of
B. A and B are marked 40% and 20% above their cost price respectively. A and B are sold after allowing discounts of Rs. 200 and Rs. 100 respectively. Profit earned by A is Rs. 100 more than that earned by
B. Find the marked price of
A.

Solution

Let the cost price of B be Rs. ‘a’ Cost price of A = Rs. (a − 400) Marked price of A = 1.4 × (a − 400) = Rs. (1.4a − 560) Marked price of B = 1.2 × a = Rs. 1.2a Selling price of A = 1.4a − 560 − 200 = Rs. (1.4a − 760) Selling price of B = 1.2a − 100 Profit earned by A
= 1.4a − 760 − a + 400
= Rs. (0.4a − 360) Profit earned by B
= 1.2a − 100 − a
= Rs. (0.2a − 100) ATQ, 0.4a − 360 = 0.2a − 100 + 100 Or, 0.4a − 360 = 0.2a Or, 0.2a = 360 Or, a = 1800 Marked price of A
= 1.4 × 1800 − 560
= 2520 − 560
= Rs. 1,960