A) \[\frac{2}{15}\]
B) \[\frac{6}{25}\]
C) \[\frac{2}{25}\]
D) \[\frac{3}{25}\]
Correct Answer: B
Solution :
Let the fraction be x. According to the question, \[=\frac{x}{3}-x\times \frac{3}{5}=\frac{32}{75}\] \[\Rightarrow \] \[\frac{5x}{3}-\frac{3x}{5}=\frac{32}{75}\] \[\Rightarrow \] \[\frac{25x-9x}{15}=\frac{32}{75}\] \[\Rightarrow \] \[\frac{16}{15}=\frac{32}{75}\] \[\Rightarrow \] \[x=\frac{32}{75}\times \frac{15}{16}=\frac{2}{5}\] Correct answer \[=\frac{2}{5}\times \frac{3}{5}\] \[=\frac{6}{25}\]You need to login to perform this action.
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