Understanding the Percentage Problem
The question asks us to find what percentage '4% of a number' represents out of '16% of the same number'. Let the unknown number be represented by the variable \(x\).
Mathematical Representation
First, express the given percentages mathematically:
- 4% of the number = \(4\% \times x = \frac{4}{100} \times x = 0.04x\)
- 16% of the same number = \(16\% \times x = \frac{16}{100} \times x = 0.16x\)
Calculating the Percentage Relationship
We need to find the percentage (let's call it \(P\)) such that \(0.04x\) is \(P\%\) of \(0.16x\). We can set up the equation:
\(0.04x = \frac{P}{100} \times 0.16x\)
Solving for P
To find \(P\), we can solve the equation. Since \(x\) is the same number and assumed to be non-zero, we can cancel \(x\) from both sides:
\(0.04 = \frac{P}{100} \times 0.16\)
Now, rearrange the equation to solve for \(P\):
\(P = \frac{0.04 \times 100}{0.16}\)
\(P = \frac{4}{0.16}\)
\(P = \frac{4}{\frac{16}{100}}\)
\(P = 4 \times \frac{100}{16}\)
\(P = \frac{400}{16}\)
\(P = 25\)
Therefore, 4% of a number is 25% of 16% of the same number.
Similar Questions
- If x% of 600 = 12% of 250 + 18% of 300, then the value of x is:
- 4% of a number is approximately what percentage of 18% of the same number?
- 15% of 60 is 45% of _______
Important Questions from Percentage
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?
What is 12% of 4% of 7% of 2 × 10 6 ?
Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?
If X is 12.25% more than Y. then Y is approximately_____ less than X.
