Ratio and proportion have always been on your radar since grade school, as it was so tricky that it always confused you to a great extent. Let’s take a quick look at the concepts of Ratio & Proportion and refresh the basics.

**What does Ratio mean?**

Technically, ratio and fractions are synonymous to one another. So, all the rules of fractions apply to ratio as the well.

**What does proportion mean? Are ratios and proportion same?**

Ratio and proportion are not same; neither have they held the same meaning. The ratio is a single fraction whereas; proportion sets two different ratios as equal.

**Properties of Ratio and Proportion:**

- If any two geometric figures are similar to one another, then their sides are said to be in proportion.
- Percentage and probability are special cases of ratios.

Let’s solve some problems and clear the doubts related to this interesting topics.

- Jacob, Bren and Danny worked in a ratio of 1: 2: 4 hours, respectively. How many hours did Bob work?

- Together, Jacob, Bren and Danny worked a total of 49 hours.
- Danny worked 21 hours more than Jacob.

Solution: The ratio of total number of hours Jacob, Bren and Danny worked = 1.

All you need to do is, solve for the value x and you will get the number of hours Bob worked.

Statement A. As given, the total number hours they all together worked = 49

So, according to the ratio; 1x + 2x + 4x = 49

X = 7

So, statement A is sufficient.

Statement B. Danny worked 21 hours more than Jacob.

So, 4x = x + 21

X = 7

X has a unique value. So statement B is also sufficient.

**Read More:**

GMAT Verbal Syllabus

GMAT Quant Syllabus

GMAT Analytical Writing Assessment (AWA) Syllabus

GMAT Integrated Reasoning (IR) Syllabus

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