Two shopkeepers sell a radio of the same brand for ₹1000. The first shopkeeper gives two successive discounts of 20% and 10%, and the second shopkeeper gives two successive discounts of 15%. Find the difference between the discounts given by the two shopkeepers.

Explanation

For the first shopkeeper, successive discounts of 20% and 10% on ₹1000 leave 1000×0.8×0.9=₹720, so the total discount is ₹280. The second gives two 15% discounts: 1000×0.85×0.85=₹722.50, giving a discount of ₹277.50. Difference = 280-277.50=₹2.50. Successive percentages must be multiplied, not simply added.