Solving Percentage Problems: 15% of 60 vs 45%
Problem Setup
The question asks us to find a number such that 15% of 60 is equal to 45% of that number. Let the unknown number be represented by $x$. We can write this relationship as an equation:
$15\% \times 60 = 45\% \times x$
Calculation Steps
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Calculate 15% of 60:
$15\% \times 60 = \frac{15}{100} \times 60 = 0.15 \times 60 = 9$
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Set up the equation with the calculated value:
$9 = 45\% \times x$
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Convert 45% to a decimal:
$45\% = \frac{45}{100} = 0.45$
The equation becomes:
$9 = 0.45 \times x$
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Solve for $x$ by dividing both sides by 0.45:
$x = \frac{9}{0.45}$
$x = \frac{9}{\frac{45}{100}} = 9 \times \frac{100}{45} = \frac{900}{45}$
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Simplify the fraction:
$x = 20$
Therefore, 15% of 60 is equal to 45% of 20.
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?
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.
