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
Answer (1)
21st Jan, 2024
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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