# If the discount of an article is 27.27% and the profit percent on the same article was 12.5%. Given the difference of CP and SP is 160.80 then find th

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If the discount of an article is 27.27% and the profit percent on the same article was 12.5%. Given the difference of CP and SP is 160.80 then find the cost price of the article?
1. 1265.80
2. 1175.80
3. 1280.50
4. 1260.80
5. 1286.40

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Correct Answer - Option 5 : 1286.40

GIVEN:

⇒ Discount % = 27.27% = 3/11.

⇒ Profit = 12.5% = 1/8

⇒ The difference of Cost price and Selling price = Rs. 160.80

FORMULA USED:

⇒ C.P = {100/(100 + gain %)] × S.P

⇒ S.P – C.P = Gain

CALCULATION:

⇒ Let cost price = Rs. x

⇒ Profit = 12.5%

⇒ Selling price = x × (112.5/100)

⇒ S.P = 1.125x

⇒ Discount = 27.27%

⇒ Selling price = Marked price × (72.73/100)

⇒ 1.125x = Marked price × (72.73/100)

⇒ Marked price = 1.54x

⇒ Now, Gain = S.P – C.P

⇒ 1.125x – 1x = Rs. 160.80

⇒ 0.125x = Rs. 160.80

⇒ x = Rs. 1286.40