Cost price of an article X is Rs. 700 less than that of

Solution

Let the cost price of Y be Rs. ‘a’ Cost price of X = Rs. (a − 700) Marked price of X
= 1.6 × (a − 700)
= Rs. (1.6a − 1120) Marked price of Y
= 1.3 × a
= Rs. 1.3a Selling price of X
= 1.6a − 1120 − 400
= Rs. (1.6a − 1520) Selling price of Y
= 1.3a − 300 Profit earned by X
= 1.6a − 1520 − a + 700
= Rs. (0.6a − 820) Profit earned by Y
= 1.3a − 300 − a
= Rs. (0.3a − 300) ATQ, 0.6a − 820 = 0.3a − 300 + 80 Or, 0.6a − 820 = 0.3a − 220 Or, 0.3a = 600 Or, a = 2000 Marked price of X
= 1.6 × 2000 − 1120
= 3200 − 1120
= Rs. 2,080