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%
B
10%
C
1009%
D
252%

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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