Discussion Forum : True Discount
Question -
A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
Answer: Option C
Answer: (c)Let the CP be Rs.100.SP = Rs.112If the marked price be x, then90 % of x = 112x = ${112 × 100}/90$ = Rs.$1120/9$Required ratio = 100 : $1120/9$= 900 : 1120 = 45 : 56Using Rule 6,Here, r = 12% D = 10%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$\text"MP"/\text"CP" = {100 + 12}/{100 - 10}$$\text"MP"/\text"CP" = 112/90$$\text"CP"/\text"MP" = 90/112$$\text"CP"/\text"MP" = 45/56$C.P. : M.P. = 45 : 56
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Answer: (c)Let the CP be Rs.100.SP = Rs.112If the marked price be x, then90 % of x = 112x = ${112 × 100}/90$ = Rs.$1120/9$Required ratio = 100 : $1120/9$= 900 : 1120 = 45 : 56Using Rule 6,Here, r = 12% D = 10%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$\text"MP"/\text"CP" = {100 + 12}/{100 - 10}$$\text"MP"/\text"CP" = 112/90$$\text"CP"/\text"MP" = 90/112$$\text"CP"/\text"MP" = 45/56$C.P. : M.P. = 45 : 56
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