If a : b = 5 : 3 and b : c = 3 : 7, then what will be the value of a : c?

Correct option is B

Given:

a : b = 5 : 3
b : c = 3 : 7

Concept Used:
To find a : c, make the common term (b) equal in both ratios and then combine.

Solution:

Here,

a : b = 5 : 3

b : c = 3 : 7

Since b is already common and equal in both (value 3), directly combine:

a : c = 5 : 7

a:c=5×1:1×7a : c = 5 \times 1 : 1 \times 7

a:c=(a:b)×(b:c)a : c = \left( a : b \right) \