Three successive discounts of 15 %, 20 % and 40 % on the marked price of an…
2024
Three successive discounts of 15 %, 20 % and 40 % on the marked price of an item are equivalent to a single discount of :
- A.
75 %
- B.
40.8 %
- C.
59.2 %
- D.
67.5 %
Attempted by 7 students.
Show answer & explanation
Correct answer: C
To find the equivalent single discount, calculate the remaining price percentage after each successive reduction. Multiply the remaining fractions: (1 - 0.15) × (1 - 0.20) × (1 - 0.40) = 0.85 × 0.80 × 0.60 = 0.408. This means the final price is 40.8% of the original. The total discount is 100% - 40.8% = 59.2%.