A trader sells his goods at a discount of 20%. He still makes a profit of 25%. I

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A trader sells his goods at a discount of 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be

Options:

A . 54.25%

B . 50.25%

C . 56.25%

D . 25.56%

Answer: Option C
Answer: (c)Let the marked price = Rs.100S.P = Rs.80Profit = 25%CP = Rs.$(100/125 × 80)$ = Rs.64Profit after selling on marked price= 100 - 64 = Rs.36Gain % = $36/64 × 100$ = 56.25%Using Rule 6,Here, D = 20% r = 25%Let, M.P. be Rs.100$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$100/\text"CP" = {100 + 25}/{100 - 20}$C.P. = ${100 × 80}/125$C.P. = Rs.64Profit = 100 - 64 = 36Gain % = $36/64 × 100%$ = 56.25%

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