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Question

Oranges are bought at rate of $$10$$ for Rs. $$25$$ and sold at rate of $$9$$ for Rs. $$25$$. The profit % is


A
10011%
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B
10%
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C
1009%
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D
252%
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Solution

The correct option is B $$\dfrac{100}{9}\%$$
L.C.M. of $$9$$ and $$10$$ is $$90$$
S.P of $$90$$ oranges $$=$$ Rs. $$\cfrac{25}{9}\times90=$$ Rs. $$250$$
C.P of $$90$$ oranges $$=$$ Rs. $$\cfrac{25}{10}\times90=$$ Rs. $$225$$
Therefore, profit $$\% = \cfrac{S.P. - C.P.}{C.P.} \times 100$$ 
$$=\cfrac{250-225}{225} \times 100$$
$$= \cfrac{25}{225} \times100$$
$$=\cfrac{100}{9}\%$$

Mathematics

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