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 man invests Rs. 25,520 in mutual funds, which is 40% of his annual income. What is his monthly income?
- Rs 5301.56
- Rs 5303.12
- Rs 5316.67
- Rs 5322.78

Answer: (c) Rs 5316.67

Solution: Let the annual income of the man is Rs \(x\) then. $$ 40 \ \% \ of \ x = 25520 $$ $$ \frac{40}{100} \times x = 25520 $$ $$ x = \left[\frac{25520 \times 100}{40}\right] $$ $$ x = 63,800 $$ The annual income of the man is Rs 63,800. Hence the monthly income of the man. $$ = \frac{63,800}{12} $$ $$ = Rs \ 5316.67 $$

Solution: Let the annual income of the man is Rs \(x\) then. $$ 40 \ \% \ of \ x = 25520 $$ $$ \frac{40}{100} \times x = 25520 $$ $$ x = \left[\frac{25520 \times 100}{40}\right] $$ $$ x = 63,800 $$ The annual income of the man is Rs 63,800. Hence the monthly income of the man. $$ = \frac{63,800}{12} $$ $$ = Rs \ 5316.67 $$

- Which one value is greatest in 0.23, \(\frac{11}{23}\), and \(12 \frac{1}{2} \ \%\)?
- 0.23
- \(\frac{11}{23}\)
- \(12 \frac{1}{2} \ \%\)
- None of them

Answer: (b) \(\frac{11}{23}\)

Solution: $$ \frac{11}{23} = 0.47 $$ $$ 12 \frac{1}{2} \ \% = \frac{25}{2} \ \% $$ $$ = \frac{25}{2} \times \frac{1}{100} $$ $$ = 0.125 $$ Hence \(\frac{11}{23}\) or 0.47 is the greatest value among them.

Solution: $$ \frac{11}{23} = 0.47 $$ $$ 12 \frac{1}{2} \ \% = \frac{25}{2} \ \% $$ $$ = \frac{25}{2} \times \frac{1}{100} $$ $$ = 0.125 $$ Hence \(\frac{11}{23}\) or 0.47 is the greatest value among them.

- If the price of a laptop inclusive of sales tax of 6% is Rs 36,800 then find the market price of the laptop?
- Rs 34716.98
- Rs 34810.69
- Rs 34866.38
- Rs 34916.87

Answer: (a) Rs 34716.98

Solution: Let the market price of a laptop is Rs \(x\) then. $$ x + 6 \ \% \ of \ x = 36,800 $$ $$ x + \frac{6}{100} \times x = 36,800 $$ $$ 100x + 6x = 36,800 \times 100 $$ $$ 106x = 3,680,000 $$ $$ x = Rs \ 34716.98 $$ Hence the market price of a laptop is Rs \(34716.98\).

Solution: Let the market price of a laptop is Rs \(x\) then. $$ x + 6 \ \% \ of \ x = 36,800 $$ $$ x + \frac{6}{100} \times x = 36,800 $$ $$ 100x + 6x = 36,800 \times 100 $$ $$ 106x = 3,680,000 $$ $$ x = Rs \ 34716.98 $$ Hence the market price of a laptop is Rs \(34716.98\).

- The difference between 46% of a number and 27% of the number is 6750. What is 15% of that number?
- 5316.5
- 5324.3
- 5328.9
- 5336.6

Answer: (c) 5328.9

Solution: Let the number is \(x\) then. $$ 46 \ \% \ of \ x - 27 \ \% \ of \ x = 6750 $$ $$ \frac{46x}{100} - \frac{27x}{100} = 6750 $$ $$ 46x - 27x = 675,000 $$ $$ x = 35526.31 $$ $$ \approx 35,526 $$ Now 15% of the number. $$ = \frac{15}{100} \times 35,526 $$ $$ = 5328.9 $$

Solution: Let the number is \(x\) then. $$ 46 \ \% \ of \ x - 27 \ \% \ of \ x = 6750 $$ $$ \frac{46x}{100} - \frac{27x}{100} = 6750 $$ $$ 46x - 27x = 675,000 $$ $$ x = 35526.31 $$ $$ \approx 35,526 $$ Now 15% of the number. $$ = \frac{15}{100} \times 35,526 $$ $$ = 5328.9 $$

- If the difference between, the price of an item increased by 20% and the price of the item decreased by 25% is Rs 250 then find the original price of that item?
- Rs 512.52
- Rs 525.62
- Rs 535.68
- Rs 555.56

Answer: (d) Rs 555.56

Solution: Let the original price of the item is Rs \(x\) then. $$ 120 \ \% \ of \ x - 75 \ \% \ of \ x = 250 $$ $$ (120 - 75) \ \% \ of \ x = 250 $$ $$ 45 \ \% \ of \ x = 250 $$ $$ \frac{45x}{100} = 250 $$ $$ x = \frac{250 \times 100}{45} $$ $$ x = Rs 555.56 $$ Hence the original price of the item is Rs 555.56.

Solution: Let the original price of the item is Rs \(x\) then. $$ 120 \ \% \ of \ x - 75 \ \% \ of \ x = 250 $$ $$ (120 - 75) \ \% \ of \ x = 250 $$ $$ 45 \ \% \ of \ x = 250 $$ $$ \frac{45x}{100} = 250 $$ $$ x = \frac{250 \times 100}{45} $$ $$ x = Rs 555.56 $$ Hence the original price of the item is Rs 555.56.

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