Finding the Number
Let the unknown number be represented by the variable \(x\).
The problem states that "one-fourth of half of a number is 25". This can be translated into the following mathematical equation:
$ \frac{1}{4} \times \left( \frac{1}{2} \times x \right) = 25 $
Simplify the expression on the left side:
$ \frac{1}{8}x = 25 $
To solve for \(x\), multiply both sides of the equation by 8:
$ x = 25 \times 8 $
$ x = 200 $
The number is 200.
Calculating 20% of the Number
The question requires finding 20% of the number calculated (which is 200).
Calculate 20% of 200 using the percentage formula:
$ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 $
Or simply calculate the value:
$ 20\% \text{ of } 200 = \frac{20}{100} \times 200 $
$ = 0.20 \times 200 $
$ = 40 $
Thus, 20% of the number is 40.
Similar Questions
- In an election between two candidates 92 % of the registered voters cast their vote and 20 % of the votes polled were found invalid. Winning candidate got 75 % of the valid votes and won the election by a margin of 322 votes. How many voters were registered?
- By how much is 65% of 65 greater than $\frac{2}{5}$ of 15?
- By how much is 65% of 65 greater than $\frac{3}{5}$ of 55?
- The income of Raman is ₹77,600. He saves 13% of his income. If his income increases by 50% and expenditure increases by 50%, then his savings will:
- $250$ candidates appeared for an examination, out of which $225$ passed. The percentage of the candidates who passed is:
- 7.98 expressed as a percent of 1.9 is:
- The price of rice is increased by 25%. By what percent should a family decrease its consumption so that their expenditure remains the same?
- If we increase 50% of numerator and 80% of denominator of a fraction, then what fraction of the original will be the new fraction?
- Two employees Anita and Sarita are paid a total sum of ₹6,600 per month. If Anita is paid 120% of the sum paid to Sarita, then what amount will Sarita get?
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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;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
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:
