A single discount equivalent to three successive discounts of 20%, 5%, and 2% is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 25.52%.
We have given the three successive discounts = 20%, 5%, and 2%
Successive discount of x% and y% = x + y - xy/100
Successive discount of 20% and 5% = 20 + 5 - 100/100 = 25 - 1 = 24%
Successive discount of 24% and 2% = 24 + 2 - 48/100 = 25.52%
So, A single discount equivalent to three successive discounts of 20%, 5%, and 2% is 25.52%.