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Question
The marked price of a shirt is Rs.800. Find the selling price, if he allows successive discounts of 15%, 10% and 8%.
Solution
Given, M.P. of the shirt = Rs.100
First discount = 15%
`"S.P."_1/"M.P." = 1 - "discount"/(100)`
⇒ `"S.P."_1/(800) = 1 - (15)/(100)`
⇒ `"S.P."_1 = (85)/(100) xx "Rs."800`
= Rs.680
Second discount = 10%
`"S.P."_2/"S.P"_1 = 1 - "discount"/(100)`
⇒ `"S.P."_2/(680) = 1 - (10)/(100)`
⇒ `"S.P."_2 = (90)/(100) xx "Rs."680`
= Rs.612
Third discount = 8%
`"S.P."_3/"S.P"_2 = 1 - "discount"/(100)`
⇒ `"S.P."_3/(612) = 1 - (8)/(100)`
⇒ `"S.P."_3 = (92)/(100) xx "Rs."612`
= Rs.563.04
∴ Selling Price of the shirt = Rs.563.04.
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