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Question 51
The cost price of 27 articles is same as the selling price of 18 articles. Whatis the profit percent?
Solution
27 CP = 18 SP
$$\dfrac{SP}{CP} = \dfrac{27}{18} = \dfrac{3}{2}$$
Subtracting 1 from both sides
=> $$\dfrac{SP}{CP} - 1 = \dfrac{3}{2} - 1$$
=> $$\dfrac{SP-CP}{CP} = \dfrac{3-2}{2} = \dfrac{1}{2}$$
Multiplying 100 on both sides
=> $$\dfrac{SP-CP}{CP} \times 100 = \dfrac{1}{2}\times 100 = 50$$%
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