Q1. How do ratio and proportion differ?

A ratio is a way to compare two numbers or amounts. It tells us how much of one thing there is compared to another. For example, if there are 2 apples and 3 oranges, the ratio of apples to oranges is 2:3. Ratios can be written with a colon, like 2:3, or as a fraction, like .

A proportion is a statement that two ratios are equal. It shows that two comparisons are the same. For example, is a proportion because both ratios represent the same relationship. The main difference is that ratios just compare two numbers, while proportions say two ratios are equal.

Q2. Solve: 27 is 45% of what number?

We want to find the number x where 27 is 45% of x. This can be set up as a proportion:

Cross multiply:

Divide both sides by 45:

So, 27 is 45% of 60.

Q3. What is 25% of $1600?

Convert 25% to a decimal: 0.25. Multiply:

Therefore, 25% of $1600 is $400. Knowing how to work with ratios, proportions, and percentages is important because these skills apply to many everyday situations, like cooking, shopping discounts, and budgeting. Understanding these concepts helps us make better decisions and solve problems more easily.

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