Discussion Forum : True Discount
Question -
A trader gains 15% after selling an item at 10% discount on the printed price. The ratio of the cost price and printed price of the item is
Answer: Option B
Answer: (b)Let the CP of article be x and its marked price be y.According to the question,90% of y = 115% of x${y × 90}/100 = {x × 115}/100$$x/y =90/115 = 18/23$ ⇒ 18 : 23Using Rule 6,Here, r = 15%, D = 10%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$= ${100 + 15}/{100 - 10}$$\text"M.P."/ \text"C.P."= 115/90$$\text"C.P."/ \text"M.P."= 90/115$$\text"C.P."/ \text"M.P."= 18/23$C.P. : M.P. = 18 : 23
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Answer: (b)Let the CP of article be x and its marked price be y.According to the question,90% of y = 115% of x${y × 90}/100 = {x × 115}/100$$x/y =90/115 = 18/23$ ⇒ 18 : 23Using Rule 6,Here, r = 15%, D = 10%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$= ${100 + 15}/{100 - 10}$$\text"M.P."/ \text"C.P."= 115/90$$\text"C.P."/ \text"M.P."= 90/115$$\text"C.P."/ \text"M.P."= 18/23$C.P. : M.P. = 18 : 23
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