Question : a : b = 5 : 8 and b : c = 2 : 6. If a = 25, then find the value of c.
Option 1: 90
Option 2: 140
Option 3: 120
Option 4: 96
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Correct Answer: 120
Solution : $a : b = 5 : 8$ and $b : c = 2 : 6$ $\frac{a}{b}×\frac{b}{c}=\frac{5}{8}×\frac{2}{6}$ $⇒ a:c=5:24$ Let $a=5k,c=24k$ According to the question, $5k=25$ $\therefore k =5$ So, $c=24k=24×5=120$ Hence, the correct answer is 120.
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