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