These notes will help you understand "Ratio & Proportion" in a super simple way. We'll use everyday examples to make it easy!
🩺 Quantitative Aptitude: Ratio & Proportion
1. What is a Ratio?
A ratio compares two numbers. It tells you how much of one thing there is compared to another.
Think of it like: A recipe! If a recipe says "1 cup of sugar for every 2 cups of flour," that's a ratio.
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How to write it:
- Using a colon:
1 : 2(read as "1 to 2") - As a fraction:
1/2 - Using the word "to":
1 to 2
- Using a colon:
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What it means: For every 1 part of sugar, there are 2 parts of flour.
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Example:
- In a small clinic, there are 3 doctors and 6 nurses.
- The ratio of doctors to nurses is
3 : 6. - Simplifying Ratios: Just like fractions, you can simplify ratios by dividing both sides by the same number.
3 : 6can be simplified to1 : 2(divide both by 3).- This means for every 1 doctor, there are 2 nurses.
2. What is a Proportion?
A proportion says that two ratios are equal. It's like saying "this relationship is the same as that relationship."
Think of it like: Scaling up a recipe. If your recipe for 1 cake uses 1 cup of sugar and 2 cups of flour (1:2 ratio), how much flour do you need for 2 cakes if you use 2 cups of sugar?
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How to write it:
- You set two ratios equal to each other:
1/2 = 2/4 - Or:
1 : 2 :: 2 : 4(read as "1 is to 2 as 2 is to 4")
- You set two ratios equal to each other: