# A salesman sold an article at a loss of 10%. If the selling price has been increased by Rs. 80, there would have been a gain of 10%. What was the cost of the article? - Mathematics and Statistics

Sum

A salesman sold an article at a loss of 10%. If the selling price has been increased by Rs. 80, there would have been a gain of 10%. What was the cost of the article?

#### Solution

Let ₹ x be the cost price of the article.

S.P. of the article = "x" - 10/100 "x" = (9"x")/10  ...(i)

Given that, S.P. increased by ₹ 80 would have given a 10% gain

i.e. S.P. + 80 = "x" + 10/100"x"

∴ (9"x")/10 + 80 = (11"x")/10   ......[From (i)]

∴ ((11 - 9)"x")/10 = 80

∴ x = (80 xx 10)/2 = 40 xx 10 = 400

∴ The cost price of the article is ₹ 400.

Concept: Profit and Loss
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 9 Commercial Mathematics
Miscellaneous Exercise 9 | Q 5 | Page 144