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Pankaj sells a trouser at a loss of 10%. If he buys it for 20% less price and sells it for Rs. 9 more, then he gains 15%. What is the cost price (in Rs) of the trouser? 

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Pankaj sells a trouser at a loss of 10%. If he buys it for 20% less price and sells it for Rs. 9 more, then he gains 15%. What is the cost price (in Rs) of the trouser? 
1). 450
2). 400
3). 350
4). 440


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Answered by on | Votes 3 |

Let the C.P of the trouser = 100 units

According to the ques he sold it at 10 % loss, S.P of trouser = 90% of 100 = 90/100 × 100 = 90

New C.P of trouser = 20% less price of old C.P = 80% of old 100 = 80 units

New S.P = 115% of new C.P. = 115/100 × 80 = 92 units

⇒ New S.P – Old S.P = Rs. 9

⇒ 92 – 90 = 2 units = Rs. 9

⇒ 1 unit = Rs. 4.5

∴ 100 units = Rs. 4.5 × 100 = Rs. 450 

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