Discussion Forum : True Discount
Question -
The marked price of an article is Rs.200. A discount of 12$1/2$%is allowed on the marked price and a profit of 25% is made. The cost price of the article is :
Answer: Option A
Answer: (a)Discount = $12{1}/2% = 25/2$%After discount S.P.= Rs.200 × 87.5 = Rs.175Gain % = 25%Required C.P.= Rs.$100/125$ × 175 = Rs.140Using Rule 6,Here, r = 25%, D = 12.5%,M.P. = Rs.200, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$200/\text"CP" = {100 + 25}/{100 - 12.5}$C.P. = ${200 × 87.5}/125$ ⇒ C.P.= Rs.140
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Answer: (a)Discount = $12{1}/2% = 25/2$%After discount S.P.= Rs.200 × 87.5 = Rs.175Gain % = 25%Required C.P.= Rs.$100/125$ × 175 = Rs.140Using Rule 6,Here, r = 25%, D = 12.5%,M.P. = Rs.200, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$200/\text"CP" = {100 + 25}/{100 - 12.5}$C.P. = ${200 × 87.5}/125$ ⇒ C.P.= Rs.140
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