Question

2 successive discounts of 10% ad 5% are equivalent to a single discount of

Answer 1

Heya user

Here is your answer !!

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Let the sum be x .

D1 = 10 %

D2 = 5 %

So ,

acc. to the question ,

x ( 1 - 10 / 100 ) ( 1 - 5 / 100 ) = x ( 1 - D / 100 )

=> ( 1 - 10 / 100 ) ( 1 - 5 / 100 ) = ( 1 - D / 100 )

=> 90 / 100 * 95 / 100 = ( 100 - D ) / 100

=> 855 / 10000 = ( 100 - D ) / 100

=> 8550 / 100 = 100 - D

=> 85.5 = 100 - D

=> 14.5 = D . [ Answer ] .

So , the single equivalent discount is 14.5 % .

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