Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increase by Rs 4000, the new ratio becomes 40:57. What’s suits salary? 


Let the salaries of Ravi and Sumit be \( 2x \) and \( 3x \), respectively.

After a Rs 4000 increase, their new salaries become \( 2x + 4000 \) for Ravi and \( 3x + 4000 \) for Sumit.

According to the problem, the new ratio of their salaries is \( 40:57 \). This gives the equation:

\[
\frac{2x + 4000}{3x + 4000} = \frac{40}{57}
\]

Cross-multiply to solve for \( x \):

\[
57(2x + 4000) = 40(3x + 4000)
\]

Expanding both sides:

\[
114x + 228000 = 120x + 160000
\]

Simplify:

\[
120x - 114x = 228000 - 160000
\]

\[
6x = 68000
\]

\[
x = \frac{68000}{6} = 11333.33
\]

Now, Sumit's original salary is \( 3x \):

\[
3x = 3 \times 11333.33 = 34000
\]

Thus, Sumit's original salary is Rs 34,000.

Would you like further explanation or details?

### Related Questions:
1. What was Ravi's original salary?
2. What are the new salaries of Ravi and Sumit after the increase?
3. How does a salary ratio impact the relative earnings over time?
4. How can changes in ratios help in solving word problems like this?
5. How do cross-multiplication and ratio solving techniques apply in real-world problems?

### Tip:
In problems involving ratios, always express quantities in terms of a common variable before applying conditions like increments or decrements.

Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What’s Sumit's salary?

Find out how to solve a salary ratio problem involving Ravi and Sumit, where their initial salaries are in the ratio of 2:3. After a Rs 4000 increase, the new ratio becomes 40:57. Learn the step-by-step process to calculate Sumit's original salary using cross-multiplication and linear equations. Suitable for Grades 9-11.

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