Discussion of Question with ID = 046 under Profit-and-Loss

This is the discussion forum for this question. If you find any mistakes in the solution, or if you have a better solution, then this is the right place to discuss. A healthy discussion helps all of us, so you are requested to be polite and soft, even if you disagree with the views of others. The question and its current solution has also been given on this page.

Advertisement

Question

A merchant is selling cloth at a profit of 328%. If the cost increases by 7%, but he continues to sell at the same price, then what is the new profit percentage?

A

300%.

B

400%.

C

200%.

D

500%.

Soln.
Ans: a

Let the cost price be CP. Then the SP = CP x (1 + $328/100$) = $428/100$ × CP. New CP = (1 + $7/100$) × CP, which is $107/100$ × CP. New Profit% = (SP/CP - 1) × 100, which is $(({428/100 × CP}/{107/100 × CP}) - 1) × 100)$, which becomes $(428 - 107)/107$ × 100 = 300%.


Comments and Discussion