A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary?

Options

A. `5%`
B. `10%`
C. `15%`
D. `20%`

Answer

To solve the problem step by step, we will define the salaries of A, B, and C based on the information given in the question.

### Step 1: Define the Salaries
Let the salary of B be represented as \( B \).

### Step 2: Express A's Salary in Terms of B
According to the question, A's salary is 40% of B's salary. Therefore, we can express A's salary as:
\[ A = 0.4B \]

### Step 3: Express B's Salary in Terms of C
The question also states that B's salary is 25% of C's salary. Thus, we can express B's salary as:
\[ B = 0.25C \]

### Step 4: Substitute B's Salary into A's Salary
Now, we can substitute the expression for B into the equation for A:
\[ A = 0.4B = 0.4(0.25C) \]
\[ A = 0.1C \]

### Step 5: Calculate A's Salary as a Percentage of C's Salary
To find what percentage of C's salary A's salary is, we can express it as:
\[ \frac{A}{C} \times 100\% \]
Substituting \( A = 0.1C \):
\[ \frac{0.1C}{C} \times 100\% = 0.1 \times 100\% = 10\% \]

### Conclusion
Thus, A's salary is **10% of C's salary**.

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