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Question
The cost price of an article is 25% below the marked price. If the article is available at a 15% discount and its cost price is Rs. 2,400; find:
(i) Its marked price
(ii) its selling price
(iii) the profit percent.
Solution
Let M.P. of an article = ₹100
∴ Cost price`=(100xx(100-25))/100`
`=₹(100xx75)/100=₹75`
Discount = 15%
∴ S.P. = ₹100 − 15 = ₹85
But cost price = ₹2400
(i) ∴ Marked price `= ₹2400xx100/75`
= ₹32 × 100 = ₹3200
(ii) and S.P.`=₹(3200xx85)/100` = ₹2720
(iii) Profit = S.P. − C.P. = ₹2720 − 2400 = ₹320
∴ Profit%`=("Profit"xx100)/"C.P."`
`=(320xx100)/2400`
`=40/3%`
`=13 1/3%`
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