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40 percent of the cost price of an article is equal to the 30 percent of its selling price. What is the profit percentage?
Question

40 percent of the cost price of an article is equal to the 30 percent of its selling price. What is the profit percentage?

A.

30 percent

B.

33.33 percent

C.

50 percent

D.

66.66 percent

Correct option is B

Given:
40% of Cost Price (CP) = 30% of Selling Price (SP)
Formula Used:Profit Percentage=(SPCPCP)×100\text{Profit Percentage} = \left( \frac{\text{SP} - \text{CP}}{\text{CP}} \right) \times 100
Solution:

0.4 × CP = 0.3 × SP
SPCP=43\frac{\text{SP}}{\text{CP}} = \frac{4}{3}​​
Profit Percentage = (431)×100=33.33%\left( \frac{4}{3} - 1 \right) \times 100 = 33.33\%​​

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