A) \[\frac{3}{5}:\frac{5}{7}:\frac{2}{5}\]
B) \[\frac{9}{20}:\frac{15}{28}:\frac{2}{7}\]
C) \[\frac{3}{5}:\frac{3}{4}:\frac{2}{5}\]
D) \[\frac{3}{5}:\frac{5}{7}:\frac{3}{4}\]
Correct Answer: B
Solution :
Given, \[P:Q\text{ }=\text{ }\frac{3}{5}:\text{ }\frac{5}{7}\] ?(i) and \[Q:R=\frac{3}{4}:\frac{2}{5}\] ?(ii) \[\therefore \] From Eq.(i) \[P:Q=\frac{3}{5}\times \frac{3}{4}:\frac{5}{7}\times \frac{3}{4}\] \[=\frac{9}{20}:\frac{15}{28}\] ?(iii) From Eq.(ii), \[Q:R=\frac{3}{4}\times \frac{5}{7}:\frac{2}{5}\times \frac{5}{7}\] \[=\frac{15}{28}:\frac{2}{7}\] ?(iv) \[\therefore \] From Eq. (iii) and (iv), \[P:Q:R=\frac{9}{20}:\frac{15}{28}:\frac{2}{7}\]
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