If the discount of an article is 27.27% and the profit percent on the

1.	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. 1265.802. 1175.803. 1280.504. 1260.805. 1286.40
Answer» 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

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. 1265.802. 1175.803. 1280.504. 1260.805. 1286.40

Answer» 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

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