Exercise : Percentage - General Questions
✔ Percentage -
General Questions
1.
What is 15% of 200?
View Answer
Answer: Option C
Explanation:
Explanation:
To find the percentage of a number, follow these steps:
1. Convert the percentage to a fraction or decimal: \(15\% = \frac{15}{100} = 0.15\).
2. Multiply this value by the total amount: \(0.15 \times 200\).
3. Calculate the product: \(15 \times 2 = 30\).
1. Convert the percentage to a fraction or decimal: \(15\% = \frac{15}{100} = 0.15\).
2. Multiply this value by the total amount: \(0.15 \times 200\).
3. Calculate the product: \(15 \times 2 = 30\).
2.
Express 3/4 as a percentage.
View Answer
Answer: Option C
Explanation:
Explanation:
To convert a fraction to a percentage:
1. Multiply the fraction by 100: \(\frac{3}{4} \times 100\).
2. Simplify the calculation: \(100 \div 4 = 25\).
3. Multiply the numerator by the result: \(3 \times 25 = 75\).
4. Add the percentage symbol: \(75\%\).
1. Multiply the fraction by 100: \(\frac{3}{4} \times 100\).
2. Simplify the calculation: \(100 \div 4 = 25\).
3. Multiply the numerator by the result: \(3 \times 25 = 75\).
4. Add the percentage symbol: \(75\%\).
3.
80 is what percent of 400?
View Answer
Answer: Option B
Explanation:
Explanation:
To find what percent one number is of another, use the formula: \(\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\).
1. Set up the fraction: \(\frac{80}{400}\).
2. Simplify the fraction: \(\frac{80}{400} = \frac{1}{5}\).
3. Multiply by 100: \(\frac{1}{5} \times 100 = 20\).
4. The answer is \(20\%\).
1. Set up the fraction: \(\frac{80}{400}\).
2. Simplify the fraction: \(\frac{80}{400} = \frac{1}{5}\).
3. Multiply by 100: \(\frac{1}{5} \times 100 = 20\).
4. The answer is \(20\%\).
4.
Find the number if 25% of it is 60.
View Answer
Answer: Option C
Explanation:
Explanation:
Let the unknown number be \(x\).
1. Translate the problem into an equation: \(25\% \text{ of } x = 60\), which is \(0.25x = 60\).
2. Solve for \(x\) by dividing both sides by 0.25: \(x = \frac{60}{0.25}\).
3. Multiplying by 4 (since \(1/0.25 = 4\)): \(60 \times 4 = 240\).
1. Translate the problem into an equation: \(25\% \text{ of } x = 60\), which is \(0.25x = 60\).
2. Solve for \(x\) by dividing both sides by 0.25: \(x = \frac{60}{0.25}\).
3. Multiplying by 4 (since \(1/0.25 = 4\)): \(60 \times 4 = 240\).
5.
What percent of a day is 6 hours?
View Answer
Answer: Option B
Explanation:
Explanation:
1. Determine the total hours in a day: 24 hours.
2. Express the given duration as a fraction of the total: \(\frac{6}{24}\).
3. Simplify the fraction: \(\frac{1}{4}\).
4. Convert the fraction to a percentage: \(\frac{1}{4} \times 100 = 25\%\).
2. Express the given duration as a fraction of the total: \(\frac{6}{24}\).
3. Simplify the fraction: \(\frac{1}{4}\).
4. Convert the fraction to a percentage: \(\frac{1}{4} \times 100 = 25\%\).
6.
Convert 0.005 into a percentage.
View Answer
Answer: Option B
Explanation:
Explanation:
To convert a decimal to a percentage:
1. Multiply the decimal by 100.
2. Shift the decimal point two places to the right: \(0.005 \times 100 = 0.5\).
3. Add the percentage sign: \(0.5\%\).
1. Multiply the decimal by 100.
2. Shift the decimal point two places to the right: \(0.005 \times 100 = 0.5\).
3. Add the percentage sign: \(0.5\%\).
7.
Calculate 10% of 20% of 500.
View Answer
Answer: Option B
Explanation:
Explanation:
This is a successive percentage problem:
1. Calculate 20% of 500: \(0.20 \times 500 = 100\).
2. Now, calculate 10% of that result: \(0.10 \times 100 = 10\).
3. Alternatively, multiply all factors: \(0.10 \times 0.20 \times 500 = 0.02 \times 500 = 10\).
1. Calculate 20% of 500: \(0.20 \times 500 = 100\).
2. Now, calculate 10% of that result: \(0.10 \times 100 = 10\).
3. Alternatively, multiply all factors: \(0.10 \times 0.20 \times 500 = 0.02 \times 500 = 10\).
8.
A price increases from $80 to $100. Find the percentage increase.
View Answer
Answer: Option B
Explanation:
Explanation:
1. Find the absolute increase: \(100 - 80 = 20\).
2. Use the formula: \(\text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Original Value}} \right) \times 100\).
3. Substitute the values: \(\frac{20}{80} \times 100\).
4. Simplify: \(\frac{1}{4} \times 100 = 25\%\).
2. Use the formula: \(\text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Original Value}} \right) \times 100\).
3. Substitute the values: \(\frac{20}{80} \times 100\).
4. Simplify: \(\frac{1}{4} \times 100 = 25\%\).
9.
A person's salary is reduced by 10%. By what percent must it be increased to bring it back to the original?
View Answer
Answer: Option B
Explanation:
Explanation:
1. Let the original salary be 100.
2. After a 10% reduction, the salary becomes \(100 - 10 = 90\).
3. To return to 100, the salary must increase by 10.
4. Calculate the percentage increase required on the new salary (90): \(\left( \frac{10}{90} \right) \times 100\).
5. \(\frac{1}{9} \times 100 \approx 11.11\%\).
2. After a 10% reduction, the salary becomes \(100 - 10 = 90\).
3. To return to 100, the salary must increase by 10.
4. Calculate the percentage increase required on the new salary (90): \(\left( \frac{10}{90} \right) \times 100\).
5. \(\frac{1}{9} \times 100 \approx 11.11\%\).
10.
If A's income is 25% more than B's, how much percent is B's income less than A's?
View Answer
Answer: Option A
Explanation:
Explanation:
1. Let B's income be 100.
2. A's income is 25% more: \(100 + 25 = 125\).
3. The difference is 25.
4. Calculate B's income less than A's as a percentage of A's income: \(\left( \frac{25}{125} \right) \times 100\).
5. \(\frac{1}{5} \times 100 = 20\%\).
2. A's income is 25% more: \(100 + 25 = 125\).
3. The difference is 25.
4. Calculate B's income less than A's as a percentage of A's income: \(\left( \frac{25}{125} \right) \times 100\).
5. \(\frac{1}{5} \times 100 = 20\%\).