The difference between a discount of 35% and two successive discounts of 20% on a certain bill was Rs. 22. The amount of the bill was

Explanation

Let amount of the bill = Rs. 100x 35 I : Amount after discount of 35% = 100x − ( 100 × 100x) = 100x − 35x = 65x 20 II : Amount after first discount of 20% = 100x − ( 100 × 100x) = 100x − 20x = 80x 20 Amount after second discount of 20% = 80x − ( 100 × 80x) = 80x − 16x = 64x According to ques, => 65x − 64x = 22 => x = 22 ∴ Amount of the bill = 100 × 22 = Rs. 2200