Discussion Forum : True Discount
Question - An article of cost price Rs.8,000 is marked at Rs.11,200. After allowing a discount of x% a profit of 12% is made. The value of x is
Options:
A .  23%
B .  22%
C .  21%
D .  20%
Answer: Option D
Answer: (d)S.P. for a profit of 12%= ${8000 × 112}/100$ = Rs.8960Discount = 11200 - 8960 = Rs.2240If the discount per cent be x, then${11200 × x}/100 = 2240$$x = {2240 × 100}/11200 = 20%$Using Rule 6,Here, M.P. = Rs.11200, C.P. = Rs.8000r =12% D = x%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$11200/8000 = {100 + 12}/{100 - x}$= $11200/8000 = 112/{100 - x}$100 - x = 80 ⇒ x = 20%

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