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Examoogle • User • info@examoogle.com • EE-2024-8821
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A single discount equivalent to successive discounts of 40% and 20% is:
55%
60%
52%
50%
52%
Use the formula x+y−(xy/100). Here: 40+20−(40×20/100)=60−8=52%.
Two successive discounts of 40% and 20% are applied to a product.
Single Discount=(d1+d2−100d1×d2)%
Use the formula x+y−(xy/100). Here: 40+20−(40×20/100)=60−8=52%.
Many students incorrectly add the discounts as 40%+20%=60%, forgetting that the second discount applies to the remaining amount after the first discount.
Define the discounts
Let the first discount be d1=40% and the second discount be d2=20%.
d1=40,d2=20
Apply the net discount formula
The formula for equivalent successive discounts is (d1+d2−100d1×d2)%. Substituting the given values into this expression:
40+20−10040×20
Calculate the result
Calculate the sum and the product: 40+20=60 and 100800=8. Subtracting these gives 60−8=52%.
60−8=52%
C is correct because the equivalent discount of 40% and 20% is calculated to be 52%.
This concept of effective percentage change is also used to calculate compound interest over two years or successive changes in physical dimensions like area of a rectangle.
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