RATIO &PERCENTAGE
General Aptitude Tests:
- Government entrance exams: UPSC Civil Services Examination (prelims), SSC CGL, Railway Recruitment Board (RRB) exams, Bank PO exams, etc.
- Management aptitude tests: CAT, GMAT, XAT, SNAP, etc.
- Business school entrance exams: GMAT, GRE, etc.
- Scholarship exams: Rhodes Scholarship, Fulbright Scholarship, etc
In the world of numbers, ratios act like little messengers, comparing two amounts like apples and oranges without favoring one over the other. They use a special code, like "p:q," to whisper the relationship between these amounts. But sometimes, we need to understand this comparison in the language of percentages, where everything relates to a fixed whole of 100.
This is where the magic of converting ratios to percentages comes in! With a simple formula (ratio x 100) and a few easy steps, we can transform those ratio whispers into loud and clear percentages.
Ready to unlock the secret? Here's the recipe:
- Unmask the ratio: First, grab your ratio (remember, it's that "p:q" code) and write it down as a fraction (p/q). This lets us compare the parts more easily.
- Multiply by the magic number: Now, sprinkle some percentage magic by multiplying the fraction by 100. This puffs it up, revealing the hidden percentage value.
- Voila! Percentage revealed: The result you get is your answer, the percentage you were searching for! Don't forget to add the "%" symbol to let everyone know you're speaking the language of percents.
Let's see this magic in action: Imagine you have a ratio of 6 apples to 7 oranges. Can you turn this into a percentage?
- Step 1: Write the ratio as a fraction: 6/7
- Step 2: Multiply the fraction by 100: 6/7 x 100 = 85.714
- Step 3: Add the percentage symbol: 85.714%
Ratio to Percentage Chart
| Ratio | Fraction | Percentage (%) |
|---|---|---|
| 1:1 | 1/1 | 100% |
| 1:2 | 1/2 | 50% |
| 2:1 | 2/1 | 200% |
| 1:3 | 1/3 | 33.33% |
| 3:1 | 3/1 | 300% |
| 2:3 | 2/3 | 66.67% |
| 3:2 | 3/2 | 150% |
| 1:4 | 1/4 | 25% |
| 4:1 | 4/1 | 400% |
| 3:4 | 3/4 | 75% |
| 4:3 | 4/3 | 133.33% |
| 1:5 | 1/5 | 20% |
| 5:1 | 5/1 | 500% |
| 2:5 | 2/5 | 40% |
| 5:2 | 5/2 | 250% |
| 1:6 | 1/6 | 16.67% |
| 6:1 | 6/1 | 600% |
| 5:6 | 5/6 | 83.33% |
| 6:5 | 6/5 | 120% |
| 1:7 | 1/7 | 14.29% |
| 7:1 | 7/1 | 700% |
| 4:7 | 4/7 | 57.14% |
| 7:4 | 7/4 | 175% |
Solved examples of Ratio to Percentage
|
