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# Percentage Aptitude Questions

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.