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Question
Find a single discount (as a percent) equivalent to following successive discounts:
10%, 20% and 20%
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Solution
Successive discount = 10%, 20% and 20%
Let M.P. = ₹100
∴ S.P. after 3 discounts
∴ S.P. =`("M.P."(100-"Discount%"))/100`
`=(100xx(100-10)(100-20)(100-20))/(100xx100xx100)`
`=(100xx90xx80xx80)/(100xx100xx100)=576/10`
∴ Total discount =`₹100-576/10`
`=₹(1000-576)/10=424/10`
∴ Single discount`=424/10%`
= 42.4%
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