Question
In order to maintain the price line a trader allows a discount of 10% on the marked price of an article. However, he still makes a profit of 17% on the cost price. Had he sold the article at the marked price, he would have earned a profit per cent of
Answer: Option C
Answer: (c)Let the marked price be Rs.100.S.P. = 90% of 100 = Rs.90Profit = 17%C.P. = Rs.$90 × 100/117$ = Rs.$1000/13$If no discount is allowed,S.P. = Rs.100Profit = Rs.$(100 - 1000/13)$ = Rs.$300/13$Profit % = ${300/13}/{1000/13}$ × 100 = 30%Using Rule 6,Here, D = 10%, r = 17%,Let the M.P. = Rs.100$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$100/\text"CP" = {100 + 17}/{100 - 10}$$100/\text"C.P." = 117/90$C.P. = ${100 × 90}/117 = 1000/13$Profit = S.P. - C.P.= $100 - 1000/13$ = Rs.$300/13$Profit % = ${300/13}/{1000/13} × 100%$ = 30%
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Answer: (c)Let the marked price be Rs.100.S.P. = 90% of 100 = Rs.90Profit = 17%C.P. = Rs.$90 × 100/117$ = Rs.$1000/13$If no discount is allowed,S.P. = Rs.100Profit = Rs.$(100 - 1000/13)$ = Rs.$300/13$Profit % = ${300/13}/{1000/13}$ × 100 = 30%Using Rule 6,Here, D = 10%, r = 17%,Let the M.P. = Rs.100$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$100/\text"CP" = {100 + 17}/{100 - 10}$$100/\text"C.P." = 117/90$C.P. = ${100 × 90}/117 = 1000/13$Profit = S.P. - C.P.= $100 - 1000/13$ = Rs.$300/13$Profit % = ${300/13}/{1000/13} × 100%$ = 30%
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