If a:b=5:7, find (3a+5b):(5a-2b)

June 3, 2016 Quiz Questions

If a:b=5:7, find (3a+5b):(5a-2b)
[A]50:9
[B]40:9
[C]50:11
[D]40:11

50:11
\because \frac{a}{b}=\frac{5}{7}
\therefore \frac{\left ( 3a+5b \right )}{5a-2b}=\frac{3\left ( \frac{a}{b} \right )+5}{5\left ( \frac{a}{b} \right )-2}
=>\frac{3\times \frac{5}{7}+5}{5\times \frac{5}{7}-2}=\frac{50}{11}
=>a:b=50:11
Hence option [C] is the right answer.

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