2 successive discounts of 10% ad 5% are equivalent to a single discount of
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Answer:
single equivalent discount = 14.5 %
Step-by-step explanation:
Let say Price = x
First Discount = 10 %
10% discount = (10/100)x = x/10
Price after discount = x - x/10
= 9x/10
now second 5 % discount is given on 9x/10
5% discount = (5/100) * (9x/10)
= (1/20)*(9x/10)
= 9x/200
Final Price after discount = 9x/10 - 9x/200
= (9x/200)(20 - 1)
= 171x/200
Net Discount = Original Price - Final Price
Net Discount = x - 171x/200
= 29x/200
Net discount % = {(29x/200)/x}* 100
= 29 / 2
= 14.5%
single equivalent discount = 14.5 %
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