Percentage Problems With Solutions, deals with various concepts which are as under:-
- Finding a number, whose percentage value is given
- Finding what percentage of a given term is another term
- Net Increase or Decrease Percentage in a Number
- Finding a number when its decreased percentage is given
- Finding a number when its increased percentage is given
- Salary saved
Percentage Problems With Solutions – Finding a number, whose percentage value is given
Question 1:
If 30 % of a number is 60, find the number?
Solution:
We can form a linear equation to express the given statement and then arrive at the number
Let the required number be x
We are given that
30 % of x is 60
or in other words
30/100 × x = 60
On cross multiplication, we get
x = (60 × 100)/30
x = 200
Hence, the number is 200
Percentage Problems With Solutions – Finding what percentage of a given term is another term
Question 2:
What percent of 20 litres is 10 litres ?
Solution:
Let a % of 20 litres = 10 litres
Step 1 – Convert the Percentage into Fraction
i.e a % = a/100
Step 2 – Multiply the Fraction with given quantity.
]
a = 50
Hence, 10 litres is 50 % of 20 litres
Question 3:
What percent of 100 m is 80 m?
Solution:
Let a % of 100 m = 80 m
Step 1 – Convert the Percentage into Fraction
a = 80
Hence, 80 m is 80 % of 100 m
Question 4:
What percent of 70 kg is 49 kg?
Solution:
Let a % of 70 kg = 49 kg
Step 1 – Convert the Percentage into Fraction
a = 70
Hence, 49 kg is 70 % of 70 kg
Percentage Problems With Solutions – Net Increase or Decrease Percentage in a Number
Question 5:
A number is increased by 25 % and then decreased by 8 %. The net increase or decrease percentage is?
Solution:
We can form a linear equation to express the given statement and then arrive at the number
Let the required number be “a”
Step I:
If the number is increased by 25 % it would be equal to ( Given Number + 25 % of Given Number )
Step II:
If the number at Step 1 is decreased by 8 % it would be equal to ( Increased Number – 8 % of Increased Number )
= 15 %
Hence, Net Increase Percentage is = 15 %
Percentage Problems With Solutions – Finding a number when its decreased percentage is given
Question 6:
A number when decreased by 20% gives 160. The number is?
Solution:
Here we take the help of linear equation. First we will form the equation.
Let the number be ‘a’
20 % of ‘a’ = 20a/100
Since, the equation is:
Hence, the number is 200
Percentage Problems With Solutions – Finding a number when its increased percentage is given
Question 7:
A number, when increased by 25% gives 375. The number is?
Solution:
The problem can be solved using linear equation.
Let the number be ‘a’
a = 300
Hence, the number is 300
Percentage Problems With Solutions – Salary saved
Question 8:
Shruti spends 60 % of her Salary and saves the rest If she saves ₹ 5960 per month.
Solution:
Let Shruti’s monthly salary be ₹ a
Expenditure = 60 % of her Salary
Expenditure = 60 % of ₹ a
Given,
Savings = 5960 = 40 % of a
a = ₹ 14900
Shruti’s monthly salary is ₹ 14900