Find a single discount equivatent to successive discounts of 25 percent and 15 percent
Answers
Answer:
36.25%
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Step-by-step explanation:
Start with some amount A
Discount 25%
=> new amount = 75% of A = 0.75 A
Discount this by 15%
=> new amount = 85% of 0.75 A = 0.85 × 0.75 A = 0.6375 A = 63.75% of A
Single discount is
100% - 63.75% = 36.25%
Answer:
single equivalent discount = 36.25 %
Step-by-step explanation:
Let say Price = x
First Discount = 25 %
25% discount = (25/100)x = x/4
Price after discount = x - x/4
= 3x/4
now second 15 % discount is given on 3x/4
15% discount = (15/100) * (3x/4)
= (3/20)*(3x/4)
= 9x/80
Final Price after discount = 3x/4 - 9x/80
= (x/80)(60 - 9)
= 51x/80
Net Discount = Original Price - Final Price
Net Discount = x - 51x/80
= 29x/80
Net discount % = {(29x/80)/x}* 100
= 29 * 5 / 4
= 36.25%
single equivalent discount = 36.25 %