Sum

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

Concept: Concept of Discount

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