247 What
single discount is equivalent to two successive
discounts of 20% and 15%
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Answer:
Let the price of item on which the two successive discount of 15% and 20% applicable be 100
First discount of 15% on ₹100 = ₹15
Price after 15% Discount = ₹85
Successive discount of 20% will be applicable on price after 1st discount
20% of ₹85
20/100 × 85
= 85/5
= ₹17
Price of the item after second discount
= ₹85 - ₹17
= ₹68
Two successive discounts total = ₹15 + ₹ 17 = ₹32
As the price of the item before calculation was taken as ₹100 therefore the sum of successive discounts of 15% and 20% or single discount is equal to 32%
Answer : Two successive discounts of 15% and 20% are equal to single discount of 32%
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