The difference between the selling price on a discount of 32% and two successive discounts of 20% each on a certain bill is Rs. 25. Find the actual amount of the bill.

Explanation

Given: A single discount of 32% Two successive discounts of 20% each The difference between the selling prices after applying these discounts is Rs. 25 To Find: The actual amount of the bill Let the actual amount of the bill be Rs. x. Case 1: Single Discount of 32% The selling price after a single discount of 32% is: Selling Price = x - (32% of x) = x - 0.32x = 0.68x Case 2: Two Successive Discounts of 20% The selling price after the first discount of 20% is: First Discounted Price = x - (20% of x) = x - 0.2x = 0.8x Now, applying the second 20% discount on the first discounted price: Selling Price = 0.8x - (20% of 0.8x) = 0.8x - 0.16x = 0.64x Difference Between the Two Selling Prices According to the problem, the difference between the two selling prices is Rs. 25: 0.68x - 0.64x = 25 Solving for x: 0.04x = 25 Divide both sides by 0.04: x = 25 / 0.04 = 625 Final Answer The actual amount of the bill is Rs. 625.