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If a : b = 3: 2 and b : c = 4 : 5, then a : b : c = ?
Question

If a : b = 3: 2 and b : c = 4 : 5, then a : b : c = ?

A.

3 : 4 : 5

B.

6 : 4 : 5

C.

4 : 5 : 3

D.

6 : 5 : 4

Correct option is B

Given:

a : b = 3 : 2

b : c = 4 : 5 

Solution: 

a : b = 3 : 2 ......(1) 

b : c = 4 : 5 .......(2) 

Multiplying by 3 in (1) 

a : b = 6 : 4

b : c = 4 : 5

Combining the ratio: a : b : c = 6 : 4 : 5  

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