Question

In a company, the salaries of the Manager and the Workers are in the ratio 2:3. If the salary of both is increased by Rs. 4000, the new ratio for their salaries becomes 40:57. What is the salary of the workers. A. Rs.38,000 B. Rs. 33,000 C. Rs. 35,000 D. Rs. 39000

Answer 1

Let The Salary Of The Manager And Worker Be x and y Respectively
So,
x/y = 2/3
x = 2y/3 -------------1
If Their Salaries are increased by 4000 then their new salaries = x + 4000 and y + 4000 Respectively
According to the given statement
x + 4000 = 40
------------   ----
y + 4000    57

57x + 228000 = 40y + 160000
57x - 40y = 160000 - 228000
57x - 40y = - 68000 ------------2

Substitute the value of x in equation 2

57(2y)/3 - 40y = - 68000
(114y - 120y ) / 3 = -68000
-6y = -204000
y = -204000 / - 6
y = 34000

But The New Salaries Of Workers = y + 4000
so new Salaries of Workers = 34000 + 4000
                                             = Rs 38000

So The Correct Answer is A = 38000