Question

A, B and C are co-workers in a company and their total salary is Rs. 94,000/-. The salaries of A and B are in the ratio 5 : 6; that of B and C are in the ratio 3:2. If the salaries of C and A are in the ratio 4:5 then the salary of B ( in thousands of rupees) ​

Answer 1

Answer:

Step-by-step explanation:

Let salary of A be ₹x

Let salary of B be ₹y

Let salary of C be ₹z

Total salary of A,B,C = ₹94,000

Ratio of salaries of A&B = 5:6

∴ Salary of A = 5x and Salary of B = 6y

Ratio of salaries of B&C = 3:2

∴ Salary of B = 3y and Salary of C = 2z

Ratio of salaries of C&A = 4:5

∴ Salary of C = 4z and Salary of A = 5x

We need to find the salary of B.

So from the above assumptions we get the following:

5x+6y+3y+2z+4z+5x = 94000

⇒ 10x+9y+6z = 94000

⇒ x = 9400

   z = 14100

Hence the salary of B is:

9400+14100+y = 94000

⇒ y = 94000 - 23500

      = 70,500

Thus the Salary of B is ₹ 70,500.