A) \[90:70:189\]
B) \[99:70:110\]
C) \[89:70:180\]
D) \[35:45:97\]
Correct Answer: A
Solution :
35% of \[A=45\]of \[B=\frac{1}{6}\]of C \[\frac{35}{100}\times A=\frac{45}{100}\times B=\frac{1}{6}\] of C \[\therefore \,\,\,\,\,\frac{35}{100}\times A=\frac{45}{100}\times B\] \[A=\frac{9}{7}B\] ?. (i) \[\frac{45}{100}\times B=\frac{1}{6}\times C\Rightarrow C=\frac{45\times 6}{100}\times B\] \[C=\frac{270}{100}\times B\,\,\,\Rightarrow \,\,\,C=\frac{27}{10}B\] ?? (ii) \[A:B:C=\frac{9}{7}B:B:\frac{27}{10}B\] \[=\,\,\,\,\frac{9}{7}:1:\frac{27}{10}=\,\underline{\mathbf{90:70:189}}\]
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