Question

Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs4000, the new ratio becomes 40:57. What is Sumit's present salary?

Answer 1

Salaries of Ravi : Sumit = 2 : 3

Define x:

Salaries of Ravi : Sumit = 2 : 3

Let x be the constant ratio

Salaries of Ravi : Sumit = 2x : 3x

Form the equation:

If the salary of each is increased by Rs4000, the new ratio becomes 40:57

$\dfrac{2x + 4000}{3x + 4000} = \dfrac{40}{57}$

Solve x:

$\dfrac{2x + 4000}{3x + 4000} = \dfrac{40}{57}$

Cross multiply:

57(2x + 4000) = 40(3x + 4000)

114x + 228000 = 120x + 160000

120x - 114x = 228000 - 160000

6x = 68000

x = 34000/3

Find Sumit's present salary:

Sumit's present salary = 3x =3(34000/3) = Rs 34000

Answer: Sumit's salary is Rs 34,000

Answer 2

Answer:

₹34000 is the salary of Sumit.

Step by step explanation:

Let the salaries of Ravi and Sumit be 2x and 3x respectively.

If their salaries are increased by ₹4000 then,

2x+4000/3x+4000 = 40/57

A.T.P :

2x+4000/3x+4000=40/57 ( Cross multiplication)

57(2x+4000)=40(3x+4000)

114x+228000=120x+160000

114x-120x=160000-228000

6x=68000

x=68000/6

x=34000/3

Salary of Sumit:

34000/3 ×3

=₹34000

Ans: Sumit's salary is ₹34000