A) 2: 3: 3
B) 3: 4: 5
C) 4: 5: 6
D) 9: 8: 10
Correct Answer: D
Solution :
According to the question, \[A\times \frac{2}{3}=B\times \frac{75}{100}=C\times \frac{6}{10}\] \[\Rightarrow \] \[A\times \frac{2}{3}=B\times \frac{3}{4}=C\times \frac{3}{5}\] Relation \[A\times \frac{2}{3}=B\times \frac{3}{4}\] gives \[\Rightarrow \] \[\frac{A}{B}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}\] \[\Rightarrow \] \[A:B=9:8\] Relation \[B\times \frac{3}{4}=C\times \frac{3}{5}\] gives \[\Rightarrow \] \[\frac{B}{C}=\frac{3}{5}\times \frac{4}{3}=\frac{4}{5}=\frac{8}{10}\] \[=B:C=8:10\] \[\therefore \] \[A:B:C=9:8:10\]
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