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Question
Find a single discount (as a percent) equivalent to following successive discounts:
20%, 10% and 5%
Solution
Successive discount = 20%, 10% and 5%
Let M.P. = ₹100
∴ S.P. after three discounts
∴ S.P.`=("M.P."(100-"Discount%"))/100`
`=₹(100(100-20)(100-10)(100-5))/(100xx100xx100)`
`=₹(100xx80xx90xx95)/(100xx100xx100)`
`=₹342/5`
∴ Total discount`=100-342/5`
`=(500-342)/5=158/5`
∴ Single discount`=158/5%`
= 31.6%
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