find single discound equivalent to the following discount series:30%,10%,5%
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Answer:
Let MP be x
First discount=30% of x = 30/100 × x =3x/10
Net SP = x - 3x/10=10x - 3x/10 = 7x/10
Second discount=10% of 7x/10 = 10/100 × 7x/10 =7x/100
Net SP = 7x/10 - 7x/100 =63x/100
Third discount=5 % of 63x/100 = 5/100 × 63x/100 = 63x/2000
Net SP = 63x/100 - 63x/2000 =1197x/2000
Then
Single discount = x - 1197x/2000 = 803x/2000
And
Discount%= 803x/2000 × 100/x = 803/20% = 40.15%
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