Given that $a : b = 5 : 3$ and $b : c = 2 : 5$. Which of the following is true?

$a < b < c$ $b < c < a$ $b < a < c$ $a < c < b$

$b < a < c$

a : b = 5 : 3 b : c = 2 : 5 Here, we can see b is common in both ratio, so lets make b equal in both ratios: a : b = 5 : 3 ) × 2 = 10 : 6 b : c = 2 : 5 ) × 3 = 6 : 15 We get, a : b : c = 10 : 6 : 15 So, b < a < c