Percentage

Quantitative Aptitude Questions and Answers for Banking Examinations on Percentage with explanation. Each question is followed by a video solution for better understanding and practice
1.

2 is what percent of 50?
[A]4
[B]2.5
[C]2
[D]5

4
Let 2 be x% of 50
=> x \% of 50 = 2
=> \frac{x}{100}\times 50=2
=>\frac{x}{2}=2
∴ x = 4
Hence option [A] is the right answer.

2.

What percent of \frac{1}{2} is \frac{1}{3} :
[A]33.33%
[B]66.66%
[C]75%
[D]56.66%

66.66%
Required percentage =
=> \left [ \frac{\frac{1}{3}}{\frac{1}{2}}\times 100 \right ] = 66.66 \%
Hence option [B] is the right answer.

3.

If p% of p is 36, then p is equal to :
[A]15
[B]60
[C]600
[D]3600

60
p% of p = 36
=>\frac{p}{100}\times p=36
=> p^{2}=3600
=> p = 60
Hence option [B] is correct.

4.

What is 20% of 25% of 300?
[A]45
[B]15
[C]60
[D]150

15
20% of 25% of 300
=>\frac{20}{100}\times \frac{25}{100}\times 300
=>\frac{1}{5}\times \frac{1}{4}\times 300=15
Hence option [B] is correct.

5.

If x% of \frac{25}{2} is 150, then the value of x is :
[A]1400
[B]1500
[C]1000
[D]1200

1200
x% of \frac{25}{2} = 150
=>\frac{x}{100}\times \frac{25}{2} =150
=>\frac{x}{8} =150
=>x=150\times 8=1200
Hence option [D] is the right answer.

6.

If 8% of x is the same as 4% of y, then 20% of x is the same as:
[A]80% of y
[B]6% of y
[C]10% of y
[D]50% of y

10% of y
\frac{8x}{100}=\frac{4y}{100}
=> y = 2x
Hence, 20% of x is equals to 10% of y.
Hence option [C] is the right answer.

7.

Which of the following fractions are equal to 35% and 1.6%
[A]\frac{6}{20} and \frac{2}{125}
[B]\frac{7}{20} and \frac{2}{125}
[C]\frac{7}{20} and \frac{2}{120}
[D]\frac{7}{20} and \frac{4}{125}

\mathbf{\frac{7}{20}} and \mathbf{\frac{2}{125}}

(1) 35 \% = \frac{35}{100}=\frac{7}{20}
(2) 1.6 \% = \frac{16}{1000}=\frac{2}{125}
Hence option [B] is the right answer.

8.

If 80% of A = 50% of B and B = x% of A, then the value of x is :
[A]150
[B]300
[C]160
[D]400

160
According to the question,
A\times \frac{80}{100} = B\times \frac{50}{100}
\therefore B = \frac{A\times 80}{50} = 1.6A
\therefore B = 160\% of A
\therefore x = 160
Hence option [C] is the correct answer.

9.

If x is 80% of y, what percent of y is x?
[A]75%
[B]125%
[C]80%
[D]100%

125%
According to question,
y = \frac{100\times 100}{80} of x
\therefore y = 125\% of x
Hence option [B] is the correct answer.

10.

A student multiplied a number by \frac{3}{5} instead of \frac{5}{3}. What is the percentage error in the calculation?
[A]54%
[B]64%
[C]44%
[D]34%

64%
Let x be the multiplicand.
\therefore Error = \frac{5}{3}x - \frac{3}{5}x
= \frac{25x - 9x}{15} = \frac{16x}{15}
∴ Percentage Error =
= \frac{\frac{16x}{15}}{\frac{5x}{3}}\times 100
= \frac{16x}{15}\times \frac{3}{5x}\times 100 = 64\%
Hence option [B] is the correct answer.



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