Find the single discount equivalent to two successive discounts bod 25% and 15%.
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◆ Answer -
Discount = 36.25 %
● Explanation -
Let x be cost price of an object.
After 25% discount, selling price is -
SP = CP × (100-25)/100
SP = x × 75/100
SP = 3x/4
After 15% discount, selling price is -
SP' = SP × (100-15)/100
SP' = 3x/4 × 85/100
SP' = 51x/80
So effective discount is -
Discount = (CP-SP')/CP × 100
Discount = 100 × (x - 51x/80) / x
Discount = 100 × 29/80
Discount = 36.25 %
Hence, effective discount is 36.25 %.
Thanks dear. Hope this helps you..
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