# Percentage Problems for SSC CGL

1.

In expressing a length of 81.472 km as nearly as possible with the three significant digits, find the percentage error

A.) 0.35%
B.) 0.34%
C.) 0.034%
D.) 0.035%

Error = (81.5 - 81.472) = 0.028
Required percentage = (0.028/81.472) x 100 = 0.034%

2.

Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is

A.) 50
B.) 60
C.) 70
D.) 80

x% of 150 = 150 - x [as x is number of boys]
=> x + (x/100) × 150 = 150
=> (5/2)x = 150
=> x = 60

3.

Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got

A.) 55%
B.) 56%
C.) 57%
D.) 58%

Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%

4.

Half of 1 percent written as decimal is

A.) 5
B.) 0.5
C.) 0.05
D.) 0.005

It will be 1/2(1%) = 1/2(1/100) = 1/200 = 0.005

5.

If the radius of a circle is increased by 50%, its area is increased by

A.) 125%
B.) 105%
C.) 100%
D.) 163%