Finding the Difference Between Percentage and Fraction Values
The question asks for the difference between "65% of 65" and "$\frac{3}{5}$ of 55". We need to calculate these two values first and then find how much the first value exceeds the second.
Calculating 65% of 65
- Convert the percentage to a decimal or fraction: $65\% = \frac{65}{100} = 0.65$.
- Multiply the decimal by the number: $0.65 \times 65$.
- Calculation: $0.65 \times 65 = 42.25$.
So, 65% of 65 is 42.25.
Calculating $\frac{3}{5}$ of 55
- Multiply the fraction by the number: $\frac{3}{5} \times 55$.
- Simplify the calculation: $3 \times \frac{55}{5} = 3 \times 11$.
- Calculation: $3 \times 11 = 33$.
So, $\frac{3}{5}$ of 55 is 33.
Determining the Difference
To find by how much 65% of 65 is greater than $\frac{3}{5}$ of 55, subtract the second value from the first:
Difference = (65% of 65) - ($\frac{3}{5}$ of 55)
Difference = $42.25 - 33$
Difference = $9.25$
Therefore, 65% of 65 is greater than $\frac{3}{5}$ of 55 by 9.25.
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Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
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The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
