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
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Answer:
CP = Rs. 40
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Cynefin:
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Answered by
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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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