Solving Problems On Percentages

 

🔢 Understanding Percentages

A percentage is a number or ratio expressed as a fraction of 100. It is derived from the Latin phrase per centum, meaning "by the hundred," and is denoted using the percent sign (%).

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💡 Practice Questions & Solutions

Q1: What is 20% of 80?

Solution

Convert 20% to a decimal (0.20) and multiply by 80:
0.20 × 80 = 16

Q2: Convert 3/5 to a percentage.

Solution

Divide 3 by 5, then multiply the decimal by 100:
3 ÷ 5 = 0.60
0.60 × 100 = 60%

Q3: A basket has 15 red apples and 5 green apples. What percentage are green?

Solution

Total apples = 20. Divide green apples by the total:
5 ÷ 20 = 0.25
0.25 × 100 = 25%

Q4: A jacket costs $100 and is 15% off. How much do you save?

Solution

Find 15% of 100:
0.15 × 100 = $15

Q5: A population grows from 500 to 550. What is the percentage increase?

Solution

Increase = 50. Divide by the original population size:
50 ÷ 500 = 0.10
0.10 × 100 = 10%