# Problems Involving Percentage

We will discuss here how to solve the problems involving percentage.

Everyday life problems involving use of percentage:

1. In an examination of 75 marks, Richard got 60 % marks. How many marks did Richard get?

Richard got 60 % marks = 60/100 = 3/5

60 % of 75 marks = 3/5 × 75 = 15 × 3 = 45

Therefore, Richard got 45 marks.

2. Derek secured 18 marks out of 25 in a test. Express his marks as a percentage.

18 marks out of 25 can be written as 18/25

Therefore, percentage = 18/25 × 100 % = 72 %

3. A man earns $450 per month. He spends 70 % of his income. What does he save every month? The man spends 70 % of his income. He save (100 - 70) is 30% of his income. His saving = 30 % of$ 450

= 30/100 × 450 = \$ 135

4. What percentage is 300 g of 2 kg?

2 kg = 2 × 1000 = 2000 g

To find the percentage we write 300 g/2000 g × 100 = 15 %

5. A student has to secure 40 % marks to pass. He gets 50 makes and fails by 30 marks. Find the maximum marks?

The student gets = 50 marks

He fails by 30 marks

The marks required to pass = 50 + 30 = 80

Now we have to find out Maximum marks.

As 40 % of Maximum marks = 80

Maximum marks = 80 × 100/40 = 200.

Percentage.

To Convert a Percentage into a Fraction

To Convert a Fraction into a Percentage

To find the percent of a given number

To find what Per cent is one Number of another Number

To Calculate a Number when its Percentage is Known

Problems Involving Percentage