About this quiz
50 questions covering every section of the note on the meaning of percentage, conversions, percent of a number, percent change, successive change, population and price problems and shortcuts.
This Lok Sewa practice set has 50 multiple-choice questions (Subject: Maths and IQ · For: Kharidar, Nayab Subba, Section Officer · Level: Easy). Take the quiz above first; after that, use the study list below to revise every question with its correct answer and a short explanation.
Study list: all 50 questions with answers and explanations
Written as a fraction in its lowest terms, 35% is equal to which of the following?
- A) 7/20 ✔
- B) 7/10
- C) 3/5
- D) 35/10
Why: 35% = 35/100; dividing top and bottom by 5 gives 7/20.
What is 150% of Rs 400?
- A) Rs 550
- B) Rs 450
- C) Rs 600 ✔
- D) Rs 650
Why: 150/100 × 400 = Rs 600. A percent above 100 gives more than the original amount.
The fraction 3/8 is equal to what percent?
- A) 30%
- B) 37.5% ✔
- C) 35%
- D) 38.5%
Why: 3/8 × 100 = 300/8 = 37.5%.
The decimal 0.08 written as a percent is:
- A) 80%
- B) 0.8%
- C) 0.08%
- D) 8% ✔
Why: Move the decimal point two places to the right: 0.08 × 100 = 8%.
Which fraction is equal to 16 2/3%?
- A) 1/5
- B) 1/6 ✔
- C) 1/8
- D) 2/3
Why: 1/6 × 100 = 100/6 = 16 2/3%.
Find 18% of Rs 3,500.
- A) Rs 630 ✔
- B) Rs 580
- C) Rs 650
- D) Rs 540
Why: 18/100 × 3,500 = 18 × 35 = Rs 630.
45% of a sum of money is Rs 540. What is the whole sum?
- A) Rs 1,080
- B) Rs 1,150
- C) Rs 2,430
- D) Rs 1,200 ✔
Why: Whole = 540 × 100 / 45 = 54,000 / 45 = Rs 1,200.
What percent of Rs 2,500 is Rs 375?
- A) 12%
- B) 12.5%
- C) 15% ✔
- D) 18%
Why: 375 / 2,500 × 100 = 15%.
A student scores 63 marks out of 90. What is the percentage score?
- A) 72%
- B) 63%
- C) 70% ✔
- D) 68%
Why: 63 / 90 × 100 = 0.7 × 100 = 70%.
A's income is 20% more than B's income. By what percent is B's income less than A's?
- A) 16 2/3% ✔
- B) 18%
- C) 20%
- D) 25%
Why: B is less than A by 20/(100 + 20) × 100 = 20/120 × 100 = 16 2/3%.
The price of a jacket rises from Rs 1,200 to Rs 1,500. What is the percent increase?
- A) 20%
- B) 300%
- C) 30%
- D) 25% ✔
Why: Increase = 300; 300 / 1,200 × 100 = 25%. The base is the original price.
The price of a pressure cooker falls from Rs 640 to Rs 560. What is the percent decrease?
- A) 14.3%
- B) 12.5% ✔
- C) 10%
- D) 8%
Why: Decrease = 80; 80 / 640 × 100 = 12.5%.
A monthly salary of Rs 30,000 is increased by 12%. What is the new salary?
- A) Rs 30,360
- B) Rs 33,000
- C) Rs 34,200
- D) Rs 33,600 ✔
Why: 30,000 × 112/100 = Rs 33,600.
To decrease a value by 15% in one step, you multiply it by which factor?
- A) 0.15
- B) 0.85 ✔
- C) 1.15
- D) 0.75
Why: Decrease by 15% means × (100 − 15)/100 = × 0.85.
A price is first increased by 30% and then decreased by 20%. What is the net effect?
- A) 4% increase ✔
- B) 6% increase
- C) 10% increase
- D) 4% decrease
Why: Net = 30 − 20 + (30 × −20)/100 = 10 − 6 = 4%, a net increase.
A price is raised by 20% and then the new price is reduced by 20%. What is the net result?
- A) No change
- B) 2% decrease
- C) 4% decrease ✔
- D) 4% increase
Why: 20 − 20 + (20 × −20)/100 = −4, so a net decrease of 4% (r²/100 = 400/100 = 4).
Rs 8,000 is increased by 10% and then the new amount is again increased by 10%. What is the final amount?
- A) Rs 9,600
- B) Rs 9,680 ✔
- C) Rs 9,800
- D) Rs 9,580
Why: 8,000 × 1.1 = 8,800; 8,800 × 1.1 = Rs 9,680 (a 21% total rise).
The population of a municipality is 50,000 and it grows at 4% per year. What will it be after 2 years?
- A) 54,000
- B) 52,080
- C) 54,160
- D) 54,080 ✔
Why: 50,000 × 1.04 × 1.04 = 52,000 × 1.04 = 54,080.
A motorbike bought for Rs 80,000 loses 20% of its value every year. What is its value after 2 years?
- A) Rs 51,200 ✔
- B) Rs 56,000
- C) Rs 48,000
- D) Rs 64,000
Why: 80,000 × 0.8 = 64,000; 64,000 × 0.8 = Rs 51,200.
The price of rice rises by 20%. By what percent must a family cut its consumption so that its expense on rice stays the same?
- A) 20%
- B) 25%
- C) 16 2/3% ✔
- D) 15%
Why: Cut = 20/(100 + 20) × 100 = 20/120 × 100 = 16 2/3%.
The population of a town is now 26,450. It has grown at 15% per year for the last 2 years. What was it 2 years ago?
- A) 20,000 ✔
- B) 19,500
- C) 21,000
- D) 22,000
Why: 26,450 ÷ (1.15 × 1.15) = 26,450 ÷ 1.3225 = 20,000. Check: 20,000 to 23,000 to 26,450.
Using the fraction table, 12.5% of Rs 960 is:
- A) Rs 96
- B) Rs 160
- C) Rs 125
- D) Rs 120 ✔
Why: 12.5% = 1/8, and 960 ÷ 8 = Rs 120.
Using the swap trick, 4% of 75 is equal to:
- A) 4
- B) 30
- C) 3 ✔
- D) 0.3
Why: 4% of 75 = 75% of 4 = 3/4 × 4 = 3.
What is 5% of Rs 4,820?
- A) Rs 482
- B) Rs 241 ✔
- C) Rs 251
- D) Rs 24.10
Why: 10% of 4,820 = 482, and 5% is half of that, Rs 241.
25% of 480 is:
- A) 120 ✔
- B) 96
- C) 240
- D) 140
Why: 480 ÷ 4.
12.5% as a fraction is:
- A) 1/8 ✔
- B) 1/4
- C) 1/12
- D) 1/5
Why: 12.5/100.
3/4 as a percentage is:
- A) 75% ✔
- B) 34%
- C) 43%
- D) 70%
Why: 0.75 × 100.
0.45 as a percentage is:
- A) 45% ✔
- B) 4.5%
- C) 0.45%
- D) 450%
Why: × 100.
What percent of 80 is 20?
- A) 25% ✔
- B) 20%
- C) 40%
- D) 16%
Why: 20/80 × 100.
40% of a number is 200. The number is:
- A) 500 ✔
- B) 800
- C) 80
- D) 400
Why: 200 ÷ 0.4.
A price rises from Rs 500 to Rs 600. The percentage increase is:
- A) 20% ✔
- B) 16.67%
- C) 10%
- D) 25%
Why: 100/500.
A price falls from Rs 800 to Rs 600. The percentage decrease is:
- A) 25% ✔
- B) 20%
- C) 33.33%
- D) 30%
Why: 200/800.
Increase 50 by 30%:
- A) 65 ✔
- B) 80
- C) 53
- D) 60
Why: 50 × 1.3.
Decrease 200 by 15%:
- A) 170 ✔
- B) 185
- C) 230
- D) 150
Why: 200 × 0.85.
A price is increased by 10% and then decreased by 10%. The net change is:
- A) 1% decrease ✔
- B) No change
- C) 1% increase
- D) 2% decrease
Why: 1.1 × 0.9 = 0.99.
Two successive increases of 10% and 20% equal a single increase of:
- A) 32% ✔
- B) 30%
- C) 22%
- D) 28%
Why: 1.1 × 1.2 = 1.32.
A salary of Rs 20,000 is raised by 15%. New salary:
- A) Rs 23,000 ✔
- B) Rs 21,500
- C) Rs 22,000
- D) Rs 35,000
Why: 20,000 × 1.15.
A's income is 25% more than B's. By what percent is B's income less than A's?
- A) 20% ✔
- B) 25%
- C) 15%
- D) 30%
Why: 25/125.
A population of 10,000 grows 10% a year. After 2 years it is:
- A) 12,100 ✔
- B) 12,000
- C) 11,000
- D) 12,200
Why: 10,000 × 1.21.
Pass mark is 40%. A student got 160 and failed by 40 marks. Full marks are:
- A) 500 ✔
- B) 400
- C) 450
- D) 600
Why: Pass = 200 = 40%.
In a two-candidate election, one got 35% of votes and lost by 6,000 votes. Total votes:
- A) 20,000 ✔
- B) 18,000
- C) 30,000
- D) 15,000
Why: Gap = 30%.
If sugar price rises 25%, by what percent should use fall to keep spending the same?
- A) 20% ✔
- B) 25%
- C) 15%
- D) 30%
Why: 25/125.
1% of 1 crore is:
- A) 1 lakh ✔
- B) 10 lakh
- C) 10,000
- D) 1,000
Why: 10,000,000 ÷ 100.
33 1/3% of 300 is:
- A) 100 ✔
- B) 90
- C) 120
- D) 33
Why: One-third.
120% of 50 is:
- A) 60 ✔
- B) 55
- C) 70
- D) 65
Why: 50 × 1.2.
60% of students passed and 240 failed. Total students:
- A) 600 ✔
- B) 400
- C) 500
- D) 800
Why: 240 = 40%.
13% VAT on Rs 1,000 is:
- A) Rs 130 ✔
- B) Rs 13
- C) Rs 1,300
- D) Rs 113
Why: Nepal's VAT rate.
A 20% discount on a marked price of Rs 1,500 gives a selling price of:
- A) Rs 1,200 ✔
- B) Rs 1,300
- C) Rs 1,180
- D) Rs 1,250
Why: 1,500 × 0.8.
A number increased by 20% becomes 360. The number is:
- A) 300 ✔
- B) 288
- C) 320
- D) 340
Why: 360 ÷ 1.2.
2% of 2% of 10,000 is:
- A) 4 ✔
- B) 40
- C) 400
- D) 0.4
Why: 10,000 × 0.0004.