A shopkeeper offers three types of discount schemes for buyers. Which of them has the maximum discount percentage?
I. Two successive discounts of 10% each.
II. Successive discounts of 15% and 5%.
III. 20% discount.
Answer & explanation
Correct answer: option 3
If two successive discounts of x and y percent are given then the combined discount is given by = X + y - \(\frac{x × y}{100}\)
I. Two successive discounts of 10% each. = 10 + 10 - \(\frac{10 × 10}{100}\) = 19%
II. Successive discounts of 15% and 5%. = 15 + 5 - \(\frac{15 × 5}{100}\) = 19.25%
III. 20% discount. = 20 + 20 - \(\frac{20 × 20}{100}\) = 36%
Only discount scheme III has the maximum discount percentage.