2026 · Q33
A single discount which is equivalent to a series of discounts p%, p/2%, p/4% is 31.6%. What is the value of p?
Elementary MathematicsProfit and Loss
- A24%
- B20%
- C18%
- D16%
Explanation
Equivalent single discount: (1−p)(1−p/2)(1−p/4)=1−0.316=0.684. Substituting p=0.20 gives 0.8×0.9×0.95=0.684 exactly, so p=20%, option B. Adding the discounts (37.5%) is the common error.