Discussion Forum : True Discount
Question -
Marked price of an article is Rs.275. Shopkeeper allows a discount of 5% and he gets a profit of 4.5%. The actual cost of the article is
Answer: Option C
Answer: (c)Let C.P. of article be x${x × 104.5}/100 = {275 × 95}/100$x × 104.5 = 275 × 95$x = {275 × 95}/{104.5}$ = Rs.250Using Rule 6,M.P. = Rs.275, D = 5%,r = 4.5%, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$275/\text"C.P." = {100 + 4.5}/{100 - 5}$C.P. = ${275 × 95}/{104.5}$C.P. = Rs.250
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Answer: (c)Let C.P. of article be x${x × 104.5}/100 = {275 × 95}/100$x × 104.5 = 275 × 95$x = {275 × 95}/{104.5}$ = Rs.250Using Rule 6,M.P. = Rs.275, D = 5%,r = 4.5%, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$275/\text"C.P." = {100 + 4.5}/{100 - 5}$C.P. = ${275 × 95}/{104.5}$C.P. = Rs.250
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