A) \[\frac{3}{5}\]
B) \[\frac{4}{7}\]
C) \[\frac{2}{3}\]
D) \[\frac{5}{7}\]
Correct Answer: B
Solution :
Let the fraction be \[\frac{p}{q}\]. \[\therefore \] \[\frac{P+20%\,\,of\,\,p}{q-10%\,\,of\,q}=\frac{16}{21}\] \[\Rightarrow \] \[\frac{P+\frac{P}{5}}{q-\frac{q}{10}}=\frac{16}{21}\Rightarrow \,\,\frac{6P}{5}\times \frac{10}{9q}=\frac{16}{21}\] \[\therefore \] \[\frac{p}{q}=\frac{16}{21}\times \frac{9}{12}=\frac{144}{252}=\frac{4}{7}\]
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