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One year ago, the ratio of salaries of A and B was 4 ∶ 5. The ratio of their individual salaries of last year and present year are 3 ∶ 4 and 2 ∶ 5 respectively. If their total salary for the present year is Rs. 256800, then what is the present salary of B?

One year ago, the ratio of salaries of A and B was 4 ∶ 5. The ratio of their individual salaries of last year and present year are 3 ∶ 4 and 2 ∶ 5 respectively. If their total salary for the present year is Rs. 256800, then what is the present salary of B? Correct Answer Rs. 180000

Given:

One year ago, the ratio of salaries of A and B = 4 ∶ 5

The ratio of their individual salaries of last year and present year are 3 ∶ 4 and 2 ∶ 5 respectively,

Their total salary for the present year = Rs. 256800

Calculation:

According to the question:

One year ago, Ratio of salary A and B

A : B = 4 : 5      ----(1)

Salary of A,

Last year : present = 3 : 4

Salary of B,

Last year : present = 2 : 5

In case of A, last year salary should be same as equation (1), became to in order to make that 3 as 4 multiply whole ratio by 4/3 

Then,

Salary of A = Last year : present = 3 : 4

⇒ 3 × 4/3 : 4 × 4/3

⇒ 4 : 16/3

In case of B, 

Last salary should be same as equation (1), became to in order to make 2 as 5 multiply whole ratio by 5/2

Then,

Salary of B = Last year : present = 2 : 5

⇒ 2 × 5/2 : 5 × 5/2

⇒ 5 : 25/2

Let the present salary of A be Rs. 16x/3

And the present salary of B be Rs. 25x/2

Now,

16x/3 + 25x/2 = 256800

⇒ 107x/6 = 256800

⇒ x = Rs. 14400

The present salary of B = Rs. 25x/2 = (25/2) × 14400 = Rs. 180000

∴ The present salary of B is Rs. 180000.

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