The banking team of jagranjosh.com has come up with concept and sample questions for** Ratio and Proportion**. The concept provided by us will help you to understand the topic. The sample questions offered by us are framed by keeping in view need of the question paper.

**Ratio**

The ratio of two quantities in the same unit is a fraction that one quantity is of other. There cannot be ratio between quantities of different kinds.

Ratio of two quantities **a** and **b** are called terms of **ratios.**

The first term of the ratio is called antecedent, while the second term is known as **consequent**.

Thus, the ratio 5:9 represents 5/9 with antecedent 5 and consequent 9.

1. **Compound Ratio**

When the numerators and denominators of two or more ratios are multiplies to obtain the new numerator and denominator, a new ratio is formed called the **compounded ratio.**

For example

The compound ratio of 2:3, 3:4, 5:6 is (2x3x5): (3x4x6) = 30:72 = 5:12

2. **Duplicate Ratio**

When a ratio is compounded with itself, and thus the resulting ratio is called the **duplicate ratio** of a given ratio.

Thus a^{2} : b^{2} is the duplicate ratio of a:b

**For Example**

Two numbers are in the ratio 8:11. If 6 is subtracted from given each, the resulting numbers are 7:10. Find the two numbers.

**Solution**

Let the given number be 8x and 11x

By hypothesis,

80x-60x = 77x-42 or 3x = 18

x=6

Hence the numbers are 48 and 66

**Proportion**

Four quantities are said to be in proportion when the ratio of the first two quantities is same as the ratios of the last two quantities.

3:4 = 15:20, 3, 4, 15, 20 are in proportion

1.** ****Continued Proportion:** Three quantities of the same kind are said to be in continued proportion, if a:b=b:c, then a, b, c are in continued Proportion.

2. **Direct Proportion: **In direct proportion, the ratio of the first two terms is equal to thew ratio of last two terms and said quantities are in proportion.

3. **Indirect Proportion:** In indirect proportion, a greater number require a smaller number and vice versa.

a.** ****Fourth Proportional = **

b.** ****Mean Proportion: **

c.** ****Third Proportion = **