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Question
By selling an article at a 20% discount, a shopkeeper gains 25%. If the selling price of the article is Rs. 1,440 ; find :
(i) the marked price of the article.
(ii) the cost price of the article.
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Solution
(i) S.P. of the article = Rs.1440
Let marked price = Rs. 100x
Discount = 20%
∴ S.P. =`(100"x"(100-20))/100=80"x"`
According to statement, 80x = 1440
x =`1440/80` ⇒ x = 18
∴ x = 18
∴ Marked price = 100x = 100 × 18 = Rs.1800
(ii) S.P. = Rs. 1440
Profit = 25%
∴ C.P. =`(100xx"S.P.")/(100+25)=(100xx1440)/125`
`=4/5xx1440`
= 4 × 288
= Rs. 1152
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