What is the single percent discount equivalent to two successive discounts of 18.5% and 11.5%?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1, i.e., 27.8725%.
Let the first discount = 18.5% and second discount = 11.5%
Single discount = d1 + d2 − (d1 × d2) ÷ 100
= 18.5 + 11.5 − (18.5 × 11.5) ÷ 100
= 30 − (212.75 ÷ 100)
= 30 − 2.1275
≈ 27.8725%