Kiran bought a washing machine for Rs. A and sold it for Rs. B, earning a profit of 35%. If he had bought it at 20% less and sold it for Rs. 860 less, he would have made a profit of 15%. Find the value of B −
A.

ATQ, Kiran bought the washing machine for Rs. A. He sold it for Rs. B and earned 35% profit. So, B = 135% of A B = 135A/100 In the second case, he bought it at 20% less. New cost price = 80% of A New cost price = 80A/100 He sold it for Rs. 860 less than B. New selling price = B − 860 He earned 15% profit in the second case. So, new selling price = 115% of new cost price B − 860 = 115/100 × 80A/100 B − 860 = 92A/100 Now put B = 135A/100. 135A/100 − 860 = 92A/100 135A/100 − 92A/100 = 860 43A/100 = 860 A = 860 × 100/43 A = 2000 Now, B − A is the profit in the first case. Profit = 35% of A B − A = 35 × 2000/100 B − A = 700 Therefore, the value of B − A is Rs. 700.