# Percentage of the quantity

In this post, we’re going to learn “How to find the percentage of any given quantity? “.Suppose you visit the shopping mall in your town for new clothes, and the seller says, you will get a 30 % discount on this product. Now, how you will calculate that amount?

Q.1 Find 30 % of 260 Rs

Solution : Let 30 % of 260 Rs is x

We know ,Operator “of “ used for multiplication

∴ 30% × 260 = x

\frac{30}{100}×260 = x                  [ 30 % can be written as \frac{30}{100}

x =26×3

x = 78 Rs

So, 30 % of 260 Rs is 78 Rs

Q.2 Find 75 % of 12

Solution : Let 75 % of 12 be x

\frac{75}{100} of 12 = x

\frac{75}{100} × 12 = x

\frac{3}{4}×12= x

3 × 3 = x

So, 75 % of 12 is 9

Q.3 Find 45 % of 1 km

Solution:

Let 45 % of 1 km is x

∴ 45 % × 1 km = x

We know , 1 km = 1000 m

45 % ×1000 = x

\frac{45}{100} ×1000 = x

45 × 10 = x

x = 450 metre

So, 45 % of 1 km is 450 metre

Q.4 Find 8 % of the 48 litres milk

Solution :

Let 8 % of 48 litres milk is x

∴ 8 % of 48 = x

\frac{8}{100} × 48 = x

\frac{2}{25} × 48 = x

2× 48 = 25 x

96 = 25x

x = 3. 84

So, 8 % of the 48 litres milk  is 3. 84 litres

Here are some word problems based on the concept of percentage of quantity

Q.1 A man spends 80 % of his salary. If he gets 12, 500 Rs per month as salary, find his monthly savings

Solution :

Monthly salary of man = 12, 500 Rs

Amount of salary, he spends per month  = 80 % of 12,500 Rs

Amount of salary , he spend per month = \frac{80}{100} ×12,500 = 80 ×125 = 10,000 Rs

We know , savings  + expenses = salary

Savings  + 10,000 = 12,500

Saving = 12,500 – 10,000

Saving = 2,500 Rs

Q.2 A shop has 500 bulbs, out of which 75 are defective. What percentage of bulbs is defective

Solution:

Total number of bulbs in the shop = 500 bulbs

No. of defective bulbs = 75 bulbs

Percentage of defective bulbs = \frac{75}{500}×100

= \frac{75}{5}

= 15 %

Q.3 A basket contains 260 apples. If 15 % of the apples were rotten, find the number of apples good enough to be sold.

Solution :

No . of apple in the basket = 260 apples

No. of rotten apples in the basket= 15 % of 260 apples

= \frac{15}{100}× 260

= \frac{3}{2}× 26

=3× 13

= 39 apples

No . of good apples in the basket = 260 – 39 = 221 apples

Check these resources as well