Discussion
A series of successive discounts of 20% and 15% is equivalent to a single discount of:
Answer: B
The single equivalent discount is 32%. For successive discounts of 20% and 15% the price falls to 0.8 × 0.85 of the marked price.
\[ 0.8 \times 0.85 = 0.68 \]\[ 1 - 0.68 = 0.32 = 32\% \]Adding the two percentages gives 35%, which ignores that the second discount is on the reduced price, so 35% is wrong, and 15% and 5% do not match either.
Check with a marked price of Rs 100: after 20% off the price is Rs 80, and after 15% off Rs 80 it is Rs 68. The total reduction is Rs 32 on Rs 100, which is 32%. The shortcut formula is a + b - ab/100 = 20 + 15 - 3 = 32.
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