1.

a man sold an article at loss of 20 % .if he had sold it for rs 12 more ., then he would have gained 10% .the cost price of the article is ​

Answer»

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Let the COST price of the article be x. Here two kinds of situation are given where the SHOPKEEPER lossed and may have GAINED respectively.

First CASE:

Loss % = 20 %

The relation between SP, CP and loss %:

⇒ CP - Loss % of CP = SP

⇒ x - 20/100 * x = SP

⇒ x - x/5 = SP

⇒ 4x/5 = SP

Second case:

Gained = 10%

The relation between SP, CP and Gain%

⇒ CP + Gain % of CP = SP

⇒ x + 10/100 * x = SP

⇒ x + x/10 = SP

⇒ 11x/10 = SP

According to question,

⇒ SP (During loss) + Rs. 12 = SP (During gain)

⇒ 4x/5 + 12 = 11x/10

⇒ 11x/10 - 4x/5 = 12

⇒ 3x/10 = 12

⇒ x = 120/3

⇒ x = 40

Thus, the cost price of the article is Rs. 40.


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