Question

salary of Ravi and Sudhir are in ratio of 2:3 if the salary of each increased by 4000 the new ratio is 40:56.what is salary of sudhir?​

Answer 1

Given:-

• Ratio of salary of Ravi and Sudhir = 2:3
• Salary of each is increased by 4000
• and the new ratio of salary we get is 40:56.

Solution :-

We have to find the salary of Sudhir.

Let the ratio be x. Then the ratio of original salaries of Ravi and Sumit will be 2x and 3x.

From given scenario,

$\sf\longrightarrow \dfrac{2x+4000}{3x+4000} = \dfrac{40}{56} \\ \\ \sf\longrightarrow \: 56(2x + 4000) = 40(3x + 4000) \\ \\ \sf \longrightarrow \: \: 112x + 224000 = 120x + 160000 \\ \\ \sf\longrightarrow \: 8x = 64000 \\ \\ \longrightarrow\boxed{\sf{x = 8000}}$

Sudir's present salary = (3x + 4000)

= 3(8000) + 4000

= 24000 + 4000

= Rs. 28000

Answer 2

Answer:

Given:-

Ratio of salary of Ravi and Sudhir = 2:3

Salary of each is increased by 4000

and the new ratio of salary we get is 40:56.

Solution :-

We have to find the salary of Sudhir.

Let the ratio be x. Then the ratio of original salaries of Ravi and Sumit will be 2x and 3x.

From given scenario,

$\sf\longrightarrow \dfrac{2x+4000}{3x+4000} = \dfrac{40}{56} \\ \\ \sf\longrightarrow \: 56(2x + 4000) = 40(3x + 4000) \\ \\ \sf \longrightarrow \: \: 112x + 224000 = 120x + 160000 \\ \\ \sf\longrightarrow \: 8x = 64000 \\ \\ \longrightarrow\boxed{\sf{x = 8000}}$

Sudir's present salary = (3x + 4000)

= 3(8000) + 4000

= 24000 + 4000

= Rs. 28000