The salaries of A, B and C are in the ratio 1 : 2 : 3. The combined salary of B and C is Rs 6000. By what percentage is the salary of C more than the salary of A?

Introduction / Context:
This question combines simple ratio with percentage comparison. It is a typical aptitude problem where we first convert a ratio into actual values using a given sum, and then compare two of the resulting quantities as a percentage difference.

Given Data / Assumptions:

• Ratio of salaries A : B : C = 1 : 2 : 3.
• Combined salary of B and C is Rs 6000.
• We must find how many percent the salary of C is more than the salary of A.

Concept / Approach:
Let the common ratio factor be k, so A = k, B = 2k and C = 3k. Then B + C = 5k. Using the given total for B and C, we can find k and then compute A and C. The percentage by which C is more than A is calculated as (C - A) / A * 100.

Step-by-Step Solution:
Step 1: Let A = k, B = 2k and C = 3k. Step 2: Then B + C = 2k + 3k = 5k. Step 3: It is given that B + C = Rs 6000, so 5k = 6000. Step 4: Therefore k = 6000 / 5 = 1200. Step 5: So A = 1200, B = 2400 and C = 3600. Step 6: We need the percentage by which C is more than A. Step 7: Difference C - A = 3600 - 1200 = 2400. Step 8: Percentage increase from A to C = (2400 / 1200) * 100 = 2 * 100 = 200%.

Verification / Alternative check:
Notice that in the ratio 1 : 2 : 3, C is three times A. Being three times larger means an increase of two times A over the base A, which is a 200% increase. This reasoning independently confirms the earlier calculation based on actual salaries.

Why Other Options Are Wrong:
Options like 100%, 300% or 600% correspond to misinterpreting the ratio or the calculation formula. For instance, 100% would mean C is only double of A, which is not correct since 3k is three times k. A value of 300% would imply C is four times A, which also does not match the given ratio.

Common Pitfalls:
Some learners mistakenly compute the percentage as C / A * 100 instead of (C - A) / A * 100, which omits the idea of increase over the base. Others misread the question and compute how much A is less than C rather than how much C is more than A, although in this case the numerical result for percentage is the same, the interpretation can still cause confusion.

Final Answer:
The salary of C is 200% more than the salary of A.