If 10% of 15 kg = x% of 12.5 kg, then value of x will be -

Options

A. 12
B. 12.5
C. 15
D. 10

Answer

To solve the equation \(10\% \text{ of } 15 \text{ kg} = x\% \text{ of } 12.5 \text{ kg}\), we can follow these steps:

### Step 1: Convert percentages to fractions
We start by converting the percentages into fractions.
- \(10\% = \frac{10}{100} = 0.1\)

### Step 2: Calculate \(10\%\) of \(15 \text{ kg}\)
Now, we calculate \(10\%\) of \(15 \text{ kg}\):
\[ 10\% \text{ of } 15 \text{ kg} = 0.1 \times 15 = 1.5 \text{ kg} \]

### Step 3: Set up the equation
Next, we set up the equation based on the problem statement:
\[ 1.5 \text{ kg} = \frac{x}{100} \times 12.5 \text{ kg} \]

### Step 4: Rearrange the equation to solve for \(x\)
To isolate \(x\), we can rearrange the equation:
\[ 1.5 = \frac{x}{100} \times 12.5 \]
Multiplying both sides by \(100\) gives:
\[ 150 = x \times 12.5 \]

### Step 5: Solve for \(x\)
Now, divide both sides by \(12.5\) to find \(x\):
\[ x = \frac{150}{12.5} \]

### Step 6: Simplify the fraction
To simplify \(\frac{150}{12.5}\), we can multiply the numerator and the denominator by \(10\) to eliminate the decimal:
\[ x = \frac{1500}{125} \]

### Step 7: Perform the division
Now, we can perform the division:
\[ x = 12 \]

Thus, the value of \(x\) is \(12\).

### Final Answer:
The value of \(x\) is \(12\).

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