Question

The salaries of Rama and manju are in the ratio of 4:5. If the salary of each of them increases by rs 4000 the new ratio of their salaries became 2:3. What was the first salary of manju

Answer 1

Answer:

Step-by-step explanation:

Since the ratio of salaries are given as 4:5 then let the first salary of both Rama and Majnu be 4x and 5x.

So, according to the question if both of their salaries are increased by 4000 each then the salaries will be (4x + 4000) and (5x + 5000) will be changed to the ratio of 2:3.

So, (4x + 4000)/(5x + 5000) = 2/3.

12x + 12000 = 10x + 10000

Then, 2x = 2000.

x= 1000.

Then, their first incomes will be 4000 and 5000 of Rama and Majnu.

Answer 2

Answer:

If the salaries of Rama and manju are in the ratio of 4:5and if the salary of each of them increases by rs 4000 the new ratio of their salaries became 2:3. Then Manju's first salary is Rs. 10,000

Step-by-step explanation:

Let the total amount of the salary of Rama and Manju be y

If the ratio of Rama and Manju is 4:5

Then fraction of Rama's salary of ther total salary is: 4/9

The fraction of Manju's salary is : 5/9

Ramas salary  = 4/9y

Manju's salary= 5/9y

Salary increment of Rs. 4000 to both:

Rama 4/9y + 4000

Manju 5/9y + 4000

Their new ratio becomes 2:3, meaning:

(4y/9 + 4000) : (5y/9 + 4000) = 2:3

⇒ (4y/9 + 4000)/(5y/9 + 4000) = 2/3

  Cross multiply the above equation and simplify

     2(5y/9 + 4000) = 3(4y/9 + 4000)

      10y/9 + 8000 = 12y + 12000

      12y/9 - 10y/9 = 12000 - 8000

                   2y/9 = 4000

           2y = 36 000

            y = 18000

Therefore their original total salary is 18000

Manju's  of the total salary  = 5/9y

If y = 18000

Then 5/9y   = 5/9 × 18000 = 10000

Therefore Manju's original salary was Rs. 10,000