Percentage Calculation: Comparing Identical Values
The question asks to determine what percentage a specific value is of itself. Let's break this down:
- Let the unknown number be represented by '\(N\)'.
- Calculate the first value: 5% of the number. This can be written as \(0.05 \times N\).
- The second value is also 5% of the same number, which is \(0.05 \times N\).
- We need to find what percentage the first value (\(0.05 \times N\)) is of the second value (\(0.05 \times N\)).
Determining the Percentage
To find what percentage value 'A' is of value 'B', we use the formula:
\( \text{Percentage} = \frac{A}{B} \times 100\% \)In this case:
- \(A = 5\% \times N = 0.05N\)
- \(B = 5\% \times N = 0.05N\)
Substituting these into the formula:
\( \text{Percentage} = \frac{0.05N}{0.05N} \times 100\% \)Assuming the number '\(N\)' is not zero, the value \(0.05N\) is non-zero, and we can simplify the fraction:
\( \text{Percentage} = 1 \times 100\% \) \( \text{Percentage} = 100\% \)Therefore, 5% of a number is 100% of 5% of the same number.
Similar Questions
By how much is 80% of 40 greater than \(4\over5\) of 25?
Umesh took 100 chocolates out of 250 chocolates from Ruchi. Umesh gave 20% of his chocolates to Shalaka and 35% of his chocolates to Mary. Then Ruchi gave 50% of her remaining chocolates to Umesh. Find the number of chocolates Umesh had at the end.
Amit bought a laptop at a 25% discount on its marked price. If he paid ₹28,500 for the laptop, what was its marked price?
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The tax on a commodity is reduced by 10%, but its consumption is increased by 20%. The percentage increase in the tax revenue derived from it is:
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Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
