With the help of percentage, we can estimate the parts of an area.

**Example**

What percent of the given figure is shaded?

**Solution**

First, we have to find the fraction of the shaded portion.

**Interpreting percentages**

To use the percentages in real life we must be able to interpret the percentage.

**Example**

If we say that Seema is spending 20% of her income then it means that Seema is spending Rs. 25 out of every Rs. 100 she earns.

**Converting percentages to “How many”.**

**Example**

If 20% of students get a distinction out of 45 students in a class, then how many students got the distinction?

**Solution**

The number of students got distinction = [20/100] × 45 = 9.

Hence, 9 students out of 45 got the distinction.

**Increase or decrease as Percent**- Sometimes we have to find the increase or decrease in certain quantities as a percentage. Like the increase in population, decrease in sale etc.

**Example**

The total marks of Charlie increased from 365 to 380 from last year’s result. Find the increase in percentage.

**Solution**

Original amount = Marks of Charlie last year = 365

Amount of change = increase in the number of marks = 380 – 365 = 15.

Therefore,

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