B is 20% more than A and C is 25% more than B. If C = 330, then what will be the value of A?

Options

A. 198
B. 214
C. 250
D. 220

Answer

To solve the problem step by step, we will follow the relationships given in the question.

### Step 1: Define the variables
Let \( A \) be the value we need to find. According to the problem, \( B \) is 20% more than \( A \).

### Step 2: Express \( B \) in terms of \( A \)
Since \( B \) is 20% more than \( A \), we can express \( B \) as:
\[ B = A + 0.2A = 1.2A \]

### Step 3: Express \( C \) in terms of \( B \)
Next, it is given that \( C \) is 25% more than \( B \). Therefore, we can express \( C \) as:
\[ C = B + 0.25B = 1.25B \]
Substituting the expression for \( B \) from Step 2:
\[ C = 1.25(1.2A) = 1.5A \]

### Step 4: Set up the equation with the given value of \( C \)
We know from the problem that \( C = 330 \). Therefore, we can set up the equation:
\[ 1.5A = 330 \]

### Step 5: Solve for \( A \)
To find \( A \), we divide both sides of the equation by 1.5:
\[ A = \frac{330}{1.5} \]
Calculating the right side:
\[ A = 220 \]

### Conclusion
Thus, the value of \( A \) is \( 220 \).

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