Salaries of A, B and C are in the ratio 1:2:3. Salary of B and C together is Rs. 60000. By what percent is salary of C more than that of A?

Let the salaries of A, B, and C be represented as \( A \), \( B \), and \( C \) respectively.

Given the ratio of their salaries is \( 1:2:3 \), we can express their salaries as:

\[
A = x, \quad B = 2x, \quad C = 3x
\]

We are also told that the combined salary of B and C is Rs. 60,000. Therefore, we have:

\[
B + C = 2x + 3x = 5x
\]

Now, equating this to 60,000:

\[
5x = 60,000
\]

Solving for \( x \):

\[
x = \frac{60,000}{5} = 12,000
\]

Thus, the salary of A is \( A = 12,000 \), the salary of B is \( B = 2 \times 12,000 = 24,000 \), and the salary of C is \( C = 3 \times 12,000 = 36,000 \).

Now, we need to find by what percent the salary of C is more than that of A. The formula to calculate the percentage increase is:

\[
\text{Percentage increase} = \frac{\text{Difference}}{\text{Original value}} \times 100
\]

Here, the difference between C's and A's salaries is:

\[
\text{Difference} = C - A = 36,000 - 12,000 = 24,000
\]

Thus, the percentage increase is:

\[
\text{Percentage increase} = \frac{24,000}{12,000} \times 100 = 200\%
\]

Therefore, the salary of C is 200% more than that of A.

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Would you like more details on any part of the solution? Here are some additional related questions:

1. What would happen if B and C's combined salary was different?
2. How does the ratio affect their individual salaries if only the total salary is known?
3. If A's salary increases by a certain percent, how will it affect the other salaries in the same ratio?
4. What if the salary ratio changed to something like 2:3:5?
5. How could you adjust B and C's salaries to maintain the same difference in percentage terms?

**Tip:** Always remember that when dealing with ratios, each part of the ratio represents a multiple of the same unknown value. Solving for this value can unlock the full solution.

Solve the problem where salaries of A, B, and C are in the ratio 1:2:3 and the combined salary of B and C is Rs. 60,000. Learn how to calculate by what percentage the salary of C is more than A, using ratios and percentage formulas. Suitable for students in Grades 6-8.

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