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Question
A shopkeeper allows two successive discounts of 10% and 15% on his articles. If he gets Rs.2295 for an article, find its marked price.
Solution
Let the marked price be Rs.100
First discount = 10%
`"S.P."_1/"M.P." = 1 - "discount"/(100)`
⇒ `"S.P."_1/x = 1 - (10)/(100)`
⇒ `"S.P."_1 = (90)/(100)x`
= Rs.0.9x
Second discount = 15%
`"S.P."_2/"M.P"_1 = 1 - "discount"/(100)`
⇒ `"S.P."_2/(0.9x) = 1 - (15)/(100)`
⇒ `"S.P."_1 = "Rs."(85)/(100) xx 0.9x`
= Rs.0.765x
ATQ,
0.765x = 2295
∴ x = 3000
∴ The marked price is Rs.3000.
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