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10 grade maths

Find the number whose 12 1/2% is 64?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the number whose \( 12 \frac{1}{2} \)% is 64, follow these steps:

1. **Convert the percentage to a fraction or decimal**:
We have \( 12 \frac{1}{2} \)%.
\( 12 \frac{1}{2} \)% is the same as \( 12.5\% \), which can be written as:
\[
12.5\% = \frac{12.5}{100} = \frac{25}{200} = 0.125
\]

2. **Set up the equation**:
Let the number be \( x \). We know that 12.5% of \( x \) equals 64. So, the equation is:
\[
0.125 \times x = 64
\]

3. **Solve for \( x \)**:
To find \( x \), divide both sides of the equation by 0.125:
\[
x = \frac{64}{0.125}
\]

4. **Perform the division**:
\[
x = 64 \div 0.125 = 64 \times 8 = 512
\]

So, the number is **512**.

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