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The salaries of three friends A, B and C are in the ratio 2 ∶ 5 ∶ 7. If the increment in their salary is 5%, 20% and 30% respectively, what is the new ratio of their salaries?
1. 40 ∶ 63 ∶ 110
2. 35 ∶ 43 ∶ 110
3. 21 ∶ 60 ∶ 91   
4. 29 ∶ 63 ∶ 91   
5. 35 ∶ 28 ∶ 97

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Correct Answer - Option 3 : 21 ∶ 60 ∶ 91   

Given: 

The ratio of Salaries of A, B and C = 2 ∶ 5 ∶ 7

Increment in salary of A = 5%

Increment in salary of B = 20%

Increment in salary of C = 30%

Formula used:

Salary after increment = old salary × [(100 + increased percent)/100]

Calculation:

Let the salary of A, B and C is 2x, 5x and 7x respectively.

New salary of A after increment = 2x × (105/100) = 210x/100

New salary of B after increment = 5x × (120/100) = 600x/100

New salary of C after increment = 7x × (130/100) = 910x/100

Now, Ratio of the salaries of A, B and C = 210x ∶ 600x ∶ 910x

⇒ 21 ∶ 60 ∶ 91

∴ The new ratio of salaries of A, B and C is 21 ∶ 60 ∶ 91 respectively.

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