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A merchant marks his goods up by 75% above his cost price. What is the maximum percentage amount that he can offer so that he ends up selling at no profit or loss?

A)75%           
B) 46.67%           
C) 300%           
D)42.85%

2 Answers

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M.P. = 1.75 C.P.

S.P. = (1 - x) M.P., where x is the discount percentage.

S.P. = C. P. for no profit/loss.

So, (1 - x) M.P. = C.P.

(1 - x) 1.75 C.P. = C.P.

x = 1 - 1/1.75 = 3/7 = 0.4285

So, percentage of amount discounted = 42.85%.
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CP SP mp
100--- 175 so SP= (100/175)*100=58.15 now
100- 58.15= 42.85 ans
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