15% of 60% of a number is 315. What is 16% of that number?

Options

A. 480
B. 560
C. 640
D. 720

Answer

To solve the problem step-by-step, let's break it down:

### Step 1: Define the variable
Let the unknown number be represented as \( X \).

### Step 2: Set up the equation
According to the problem, 15% of 60% of \( X \) equals 315. We can express this mathematically as:
\[ 0.15 \times 0.60 \times X = 315 \]

### Step 3: Simplify the equation
Calculating \( 0.15 \times 0.60 \):
\[ 0.15 \times 0.60 = 0.09 \]
So, the equation becomes:
\[ 0.09X = 315 \]

### Step 4: Solve for \( X \)
To find \( X \), divide both sides of the equation by 0.09:
\[ X = \frac{315}{0.09} \]
Calculating the right side:
\[ X = 3500 \]

### Step 5: Calculate 16% of \( X \)
Now, we need to find 16% of \( X \):
\[ 0.16 \times X = 0.16 \times 3500 \]
Calculating this:
\[ 0.16 \times 3500 = 560 \]

### Conclusion
Thus, 16% of the number is \( 560 \).

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