Discussion Forum : True Discount
Question -
The marked price of a radio is Rs.4,800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent will be
Answer: Option D
Answer: (d)Let CP of radio be Rs.x.According to the question,${108x}/100 = 4800 × 90/100 = 4320$$x {4320 × 100}/108$ = Rs.4000If no discount is allowed,Gain per cent= $800/4000 × 100 = 20%$Using Rule 6,M.P. = Rs.4800, D = 10%, r = 8%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$4800/\text"CP" = {100 + 8}/{100 - 10}$C.P. = ${4800 × 90}/108$C.P. = 4000Gain % (without discount)= ${4800 - 4000}/4000 × 100$= $800/4000 × 100$ = 20%
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Answer: (d)Let CP of radio be Rs.x.According to the question,${108x}/100 = 4800 × 90/100 = 4320$$x {4320 × 100}/108$ = Rs.4000If no discount is allowed,Gain per cent= $800/4000 × 100 = 20%$Using Rule 6,M.P. = Rs.4800, D = 10%, r = 8%$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$4800/\text"CP" = {100 + 8}/{100 - 10}$C.P. = ${4800 × 90}/108$C.P. = 4000Gain % (without discount)= ${4800 - 4000}/4000 × 100$= $800/4000 × 100$ = 20%
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