What is to be added to 15% of 160 so that the sum may be equal to 25% of 240 ?

Options

A. 24
B. 84
C. 60
D. 36

Answer

To solve the problem step by step, let's break it down clearly.

### Step 1: Calculate 15% of 160
To find 15% of 160, we use the formula:
\[ \text{Percentage} = \frac{\text{Percentage Rate}}{100} \times \text{Total} \]
So,
\[ 15\% \text{ of } 160 = \frac{15}{100} \times 160 = \frac{15 \times 160}{100} = 24 \]

### Step 2: Calculate 25% of 240
Next, we calculate 25% of 240 using the same formula:
\[ 25\% \text{ of } 240 = \frac{25}{100} \times 240 = \frac{25 \times 240}{100} = 60 \]

### Step 3: Set up the equation
According to the problem, we need to find a number \( x \) that, when added to 15% of 160 (which we calculated as 24), equals 25% of 240 (which we calculated as 60). Thus, we can set up the equation:
\[ x + 24 = 60 \]

### Step 4: Solve for \( x \)
To find \( x \), we subtract 24 from both sides of the equation:
\[ x = 60 - 24 = 36 \]

### Conclusion
The number that needs to be added to 15% of 160 to make it equal to 25% of 240 is \( \boxed{36} \).

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