Questions and Answers Type: | MCQ (Multiple Choice Questions). |

Main Topic: | Quantitative Aptitude. |

Quantitative Aptitude Sub-topic: | Percentage Aptitude Questions and Answers. |

Number of Questions: | 10 Questions with Solutions. |

- A student got \(320\) marks out of \(500\) marks, find out percentage marks the student obtained?
- \(55 \ \%\)
- \(62 \ \%\)
- \(64 \ \%\)
- \(66 \ \%\)

Answer: (c) \(64 \ \%\)

Solution: Given, Total marks = \(500\), marks ontained by student = \(320\) then, $$ Percentage = \frac{Marks \ obtained}{Total \ Marks} \times 100 $$ $$ = \frac{320}{500} \times 100 = 64 \ \% $$

Solution: Given, Total marks = \(500\), marks ontained by student = \(320\) then, $$ Percentage = \frac{Marks \ obtained}{Total \ Marks} \times 100 $$ $$ = \frac{320}{500} \times 100 = 64 \ \% $$

- If the difference between \(65 \ \%\) and \(45 \ \%\) of a number is \(500\), then find out the number?
- \(2300\)
- \(2500\)
- \(2800\)
- \(3000\)

Answer: (b) \(2500\)

Solution: Difference between \(65 \ \%\) and \(45 \ \%\) = \(500\)

\(65 \ \% - 45 \ \% = 500\)

\(20 \ \% = 500\) then

\(1 \ \% = 25\)

\(100 \ \% = 2500\), then the number is \(2500\)

Solution: Difference between \(65 \ \%\) and \(45 \ \%\) = \(500\)

\(65 \ \% - 45 \ \% = 500\)

\(20 \ \% = 500\) then

\(1 \ \% = 25\)

\(100 \ \% = 2500\), then the number is \(2500\)

- If \(20 \ \%\) of a number is \(600\), then find the \(35 \ \%\) of the number?
- \(1050\)
- \(1150\)
- \(1100\)
- \(1075\)

Answer: (a) \(1050\)

Solution: Given, \(20 \ \% = 600\) then

\(1 \ \% = 30\) and \(35 \ \% = 1050\)

Solution: Given, \(20 \ \% = 600\) then

\(1 \ \% = 30\) and \(35 \ \% = 1050\)

- A man covers \(150 \ km\) out of total distance \(350 \ km\). Find the percentage distance the man covers?
- \(42 \ \%\)
- \(43.534 \ \%\)
- \(44.534 \ \%\)
- \(42.857 \ \%\)

Answer: (d) \(42.857 \ \%\)

Solution: Given, Total distance = \(350 \ km\)

The man covers the distance = \(150 \ km\) then, $$ Percentage = \frac{distance \ covered}{Total \ distance} \times 100 $$ $$ = \frac{150}{350} \times 100 = 42.857 \ \% $$

Solution: Given, Total distance = \(350 \ km\)

The man covers the distance = \(150 \ km\) then, $$ Percentage = \frac{distance \ covered}{Total \ distance} \times 100 $$ $$ = \frac{150}{350} \times 100 = 42.857 \ \% $$

- If the income of Trump is \(50 \ \%\) more than that of Putin's income, then find out how much percent is Putin's income less than that of Trump's income?
- \(32.05 \ \%\)
- \(33.33 \ \%\)
- \(34.50 \ \%\)
- \(35.50 \ \%\)

Answer: (b) \(33.33 \ \%\)

Solution: Given, \(n = 50 \ \%\), then the Putin's income less than that of Trump's income is $$ \left[\frac{n}{100 + n} \times 100\right] \ \% $$ $$ = \left[\frac{50}{100 + 50} \times 100\right] \ \% $$ $$ = \frac{100}{3} = 33.33 \ \% $$

Solution: Given, \(n = 50 \ \%\), then the Putin's income less than that of Trump's income is $$ \left[\frac{n}{100 + n} \times 100\right] \ \% $$ $$ = \left[\frac{50}{100 + 50} \times 100\right] \ \% $$ $$ = \frac{100}{3} = 33.33 \ \% $$

- Convert the fraction value \(\frac{5}{4}\) in to percentage value?
- \(125 \ \%\)
- \(130 \ \%\)
- \(150 \ \%\)
- \(110 \ \%\)

Answer: (a) \(125 \ \%\)

Solution: $$ = \frac{5}{4} \times 100 = 125 \ \% $$

Solution: $$ = \frac{5}{4} \times 100 = 125 \ \% $$

- Convert the \(35 \ \%\) in to fraction value?
- \(0.36\)
- \(0.35\)
- \(0.25\)
- \(0.28\)

Answer: (b) \(0.35\)

Solution: $$ 35 \ \% = \frac{35}{100} = 0.35 $$

Solution: $$ 35 \ \% = \frac{35}{100} = 0.35 $$

- If a man spent \(20 \ \%\) of his salary on food \(30 \ \%\) on home expenditure then find out total expenditure of his salary (in fraction)?
- \(0.7\)
- \(0.4\)
- \(0.5\)
- \(0.2\)

Answer: (c) \(0.5\)

Solution: Total percent the man spent of his salary = \(50 \ \%\)

then total expenditure (in fraction) $$ 50 \ \% = \frac{50}{100} = 0.5 $$ \(0.5\) part of his salary the man total spent.

Solution: Total percent the man spent of his salary = \(50 \ \%\)

then total expenditure (in fraction) $$ 50 \ \% = \frac{50}{100} = 0.5 $$ \(0.5\) part of his salary the man total spent.

- If a man spent \(\frac{2}{3}\) of his salary on dinner and \(\frac{1}{5}\) of his salary on shopping, then find how much percent of his salary he spent?
- \(85.68 \ \%\)
- \(84.67 \ \%\)
- \(82.68 \ \%\)
- \(86.67 \ \%\)

Answer: (d) \(86.67 \ \%\)

Solution: Total spent by the man $$ = \frac{2}{3} + \frac{1}{5} = \frac{13}{15} $$ in terms of percentage total expenditure $$ = \frac{13}{15} \times 100 = 86.67 \ \% $$

Solution: Total spent by the man $$ = \frac{2}{3} + \frac{1}{5} = \frac{13}{15} $$ in terms of percentage total expenditure $$ = \frac{13}{15} \times 100 = 86.67 \ \% $$

- A student obtained \(30\) marks out of \(70\) marks, then find the percentage marks the student obtained?
- \(43.56 \ \%\)
- \(42.85 \ \%\)
- \(45.75 \ \%\)
- \(44.52 \ \%\)

Answer: (b) \(42.85 \ \%\)

Solution: Given, Total marks = \(70\), marks obtained = \(30\), then $$ Percentage = \frac{marks \ obtained}{total \ marks} \times 100 $$ $$ = \frac{30}{70} \times 100 = 42.85 \ \% $$

Solution: Given, Total marks = \(70\), marks obtained = \(30\), then $$ Percentage = \frac{marks \ obtained}{total \ marks} \times 100 $$ $$ = \frac{30}{70} \times 100 = 42.85 \ \% $$

Lec 1: Introduction to Percentage
Exercise-1
Lec 2: Percentage Case-1
Exercise-2
Lec 2: Percentage Case-2
Exercise-3
Lec 2: Percentage Case-3 & Case-4
Exercise-4
Exercise-5
Exercise-6
Exercise-7
Exercise-8
Exercise-9
Exercise-10