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Question
Find a single discount (as a percent) equivalent to following successive discounts:
20% and 12%
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Solution
Successive discount = 20% and 12%
Let M.P. = ₹100
First discount = 20%
Second discount = 12%
∴ S.P.`=("M.P."(100-"Discount%"))/100`
`=(100xx(100-20)(100-12))/(100xx100)`
`=(100xx80xx88)/(100xx100)=352/5`
∴ Total discount on ₹100 = `100-352/5`
`=(500-352)/5=₹148/5`
∴ Single discount`=148/5%`
`=29 3/5%`
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