Percentage

1. NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
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2. Percentage
A percentage is a ratio or fraction whose denominator is 100.
Example-1
What is 40% of Rs.150.
Solution:
40
40% of 150 = 150 Rs.60
100
 

3. Example-2
Find the sum of money of which Rs.60 is 40%.
Solution:
40% of x = 60
40
x 60
100
100
x 60 Rs.150
40
 
  

4. Example-3
What percentage of Rs.150 is Rs.60
Solution:
x of 150 = 60
x
150 60
100
100
x 60
150

 
 
x = 40%

5. Example-4
A purchaser received a discount of 10% on the selling price
of a mobile. If he paid Rs.4500, what was the selling price
of the mobile?
Solution:
Let x be the selling price
Paid percentage is 90%
Paid amount is 4500
90% 𝑜𝑓 𝑥 = 4500
90
100
. 𝑥 = 4500
𝑥 = 4500 ×
100
90
𝑥 = 𝑅𝑠. 5000

6. Example-5
What was the Abu-Tarique’s income last year if he paid
an income tax of Rs.30,000 which is 5% of his income?
Solution:
Let x be the income
5% of x = 30000
30000
100
5
 x
5
100
30000 x
x = Rs.60000 per year.

7. Example-6
The assets of a person increased from Rs.150,000 to
Rs.350,000. What was the rate of change?
Solution:
Original Amount = Rs.150,000
New Amount = Rs.350,000
Amount of Change = 350000 – 150000 = 200000
100
AmountOriginal
ChangeofAmount
ChangeofRate 
Rate of Change =
200000
150000
× 100
Rate of Change = 133.33%