# 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. - Mathematics

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.

#### 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
Is there an error in this question or solution?

#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 8 Profit, Loss and Discount
Exercise 8 (D) | Q 8 | Page 98