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Percentage of a Number
How to find percentage of a number?
We will follow the following steps for finding percent of a number:
Step I: Obtain the given number
Step
II: Multiply the number by the required percentage i.e.,
x % of a = x/100 × a
Solved examples to find the percent of a number:
1. Find 17 % of $ 1700
Solution:
17 % of $ 1700
= 17/100 × 1700
= $289
2. Find 10 % of 900
Solution:
10 % of 900
= 10/100 × 900
= 90
3. Find 25/8 % of 160.
Solution:
25/8 % of 160
= (25/8)/100 × 160
= 25/800 × 160
= 4000/800
= 5
4. Find the number if 35 % of it is 280 km.
Solution:
Let the required number be m.
Then 35 % of m = 280
⇒ 35/100 × m = 280
⇒ m = 280 × 100/35
⇒ m = 28000/35
⇒ m = 800
Therefore, 35 % of 800 km is 280 km
How to find a new number when a number is increase or decrease by a given percent?
(i) If a number is increased by x %, then the new number = (1 + x/100) × given number.
(ii) If a number is decreased by x %, then the new number = (1 – x/100) × given number.
Solved examples:
1. What is the new number if increase the number 300 by 20 %.
Solution:
New number = (1 + 20/100) × 300
= (100 + 20)/100 × 300
= 120/100 × 300
= 120 × 3
= 360
Therefore, the new number = 360
2. What is the new number if decreased the number 360 by 30 %.
Solution:
New number = (1 – 30/100) × 360
= (100 – 30)/100 × 360
= 70/100 × 360
= 25200/100
= 252
Therefore, the new number =252
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8th Grade Math Practice
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