Question

The wages of three labourers A, B and C are in the ratio 10 : 12 : 15. A's wage is increased in the ratio 5 : 6, B's wage is increased in the ratio 3 : 4 and C's wage is increased in the ratio 3 : 5. The new ratio of the wages of A : B : C is ___________.
1. 15 : 18 : 20
2. 12 : 16 : 25
3. 6 : 7 : 9
4. 8 : 6 : 5

Answer 1

Correct Answer - Option 2 : 12 : 16 : 25

Given :

Wages of 3 labourers A, B and C are in the ratio 10 : 12 : 15 

A's wage increased by 5 : 6, B's by 3 : 4 and C's by 3 : 5 

Calculations :

Let the wage of A, B and C be 10x, 12x and 15x 

A's new wage after increment = (6/5) × 10x = 12x 

B's new wage after increment = (4/3) × 12x = 16x 

C's new wage after increment = (5/3) × 15x = 25x 

Ratio of new wages 

A : B : C = 12x : 16x : 25x 

⇒ 12 : 16 : 25 

∴ Ratio of new wages is 12 : 16 : 25