Find `7(1)/(2) % ` of ` Rs. 2400 .`

Options

A. 100
B. 120
C. 180
D. 160

Answer

To find \( 7\frac{1}{2} \% \) of Rs. 2400, we can follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
First, we convert \( 7\frac{1}{2} \) to an improper fraction.

\[ 7\frac{1}{2} = \frac{(7 \times 2) + 1}{2} = \frac{14 + 1}{2} = \frac{15}{2} \]

### Step 2: Convert the percentage to a decimal
Next, we need to express \( \frac{15}{2} \% \) as a decimal.

To convert a percentage to a decimal, we divide by 100:

\[ \frac{15}{2} \% = \frac{15}{2} \times \frac{1}{100} = \frac{15}{200} = \frac{3}{40} \]

### Step 3: Calculate \( \frac{3}{40} \) of Rs. 2400
Now, we will find \( \frac{3}{40} \) of Rs. 2400.

\[ \text{Amount} = \frac{3}{40} \times 2400 \]

### Step 4: Simplify the multiplication
We can simplify the calculation:

\[ \frac{3 \times 2400}{40} = \frac{7200}{40} = 180 \]

### Final Answer
Thus, \( 7\frac{1}{2} \% \) of Rs. 2400 is **Rs. 180**.

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