100 Most Expected Percentage Questions for AFCAT 2026 with Answers & Shortcut Tricks


Percentage Questions for AFCAT 2026 

Preparing for AFCAT 2026? Percentage is one of the most important topics in the Quantitative Aptitude section. Questions from Percentage are frequently asked directly and also form the foundation for topics like Profit & Loss, Simple Interest & Compound Interest, Ratio & Proportion, and Data Interpretation.

If your Percentage concepts are strong, you'll be able to solve many arithmetic questions much faster during the exam.

Before moving to advanced arithmetic, you can also practice these topics:

These articles cover the concepts that are closely connected with Percentage and will strengthen your overall Quant preparation.

Important Percentage Formulas

  • Percentage Formula = Percentage = (Value ÷ Total Value) × 100
  • Increase Formula = Percentage Increase = (Increase ÷ Original Value) × 100
  • Decrease Formula = Percentage Decrease = (Decrease ÷ Original Value) × 100

Convert Percentage into Fraction

Percentage Fraction
10% 1/10
12.5% 1/8
20% 1/5
25% 1/4
40% 2/5
50% 1/2
60% 3/5
75% 3/4
80% 4/5

AFCAT Percentage Shortcut Tricks

Trick 1

  • 50% means Half
  • 25% means One-Fourth
  • 20% means One-Fifth
  • 10% means One-Tenth

Trick 2

  • To calculate 15% of a number = 10% + 5%
  • Example: 15% of 400 = 40 + 20 = 60

Trick 3

  • To calculate 35% = 30% + 5%

This method saves a lot of calculation time in the exam.

What is 25% of 480?

  • A. 100
  • B. 110
  • C. 120
  • D. 130

Solution

  • 25% = 1/4
  • 480 ÷ 4 = 120

Shortcut

  • 25% always means divide by 4.

40% of a number is 96. Find the number.

  • A. 200
  • B. 220
  • C. 240
  • D. 250

Solution

  • 40% = 96
  • 100% = (96 × 100) ÷ 40 = 240

Shortcut

  • Number = (Given Value × 100) ÷ Percentage

What percentage of 250 is 50?

  • A. 15%
  • B. 18%
  • C. 20%
  • D. 25%

Solution

  • Percentage = (50 ÷ 250) × 100 = 20%

A student's marks increase from 320 to 400. Find the percentage increase.

  • A. 20%
  • B. 22%
  • C. 25%
  • D. 30%

Solution

  • Increase = 400 − 320 = 80
  • Percentage Increase = (80 ÷ 320) × 100 = 25%

A shirt priced at ₹2,000 is sold after a 15% discount. Find the selling price.

  • A. ₹1,600
  • B. ₹1,650
  • C. ₹1,700
  • D. ₹1,750

Solution

  • Discount = 15% of 2,000 = ₹300
  • Selling Price = 2,000 − 300 = ₹1,700

Questions on Discount are directly connected with Profit & Loss. Once you complete this Percentage series, your next topic should be Profit & Loss.

35% of a number is 140. Find the number.

  • A. 350
  • B. 380
  • C. 400
  • D. 420

Solution

  • Number = (140 × 100) ÷ 35 = 400

What is 12.5% of 640?

  • A. 60
  • B. 70
  • C. 80
  • D. 90

Solution

  • 12.5% = 1/8
  • 640 ÷ 8 = 80

Shortcut

  • Remember: 12.5% = 1/8

The population of a town increases from 40,000 to 46,000. Find the percentage increase.

  • A. 10%
  • B. 12%
  • C. 15%
  • D. 18%

Solution

  • Increase = 6,000
  • Percentage Increase = (6,000 ÷ 40,000) × 100 = 15%

A number is decreased by 20% and becomes 320. Find the original number.

  • A. 360
  • B. 380
  • C. 400
  • D. 420

Solution

  • 80% = 320
  • 100% = (320 × 100) ÷ 80 = 400

If 60% of a number is 180, find 35% of that number.

  • A. 95
  • B. 100
  • C. 105
  • D. 110

Solution

  • Number = (180 × 100) ÷ 60 = 300
  • 35% of 300 = 105

Common Fraction to Percentage Conversion

Fraction Percentage
1/2 50%
1/3 33.33%
1/4 25%
1/5 20%
2/5 40%
3/5 60%
4/5 80%
5/8 62.5%

Remembering these conversions can save 20–30 seconds per question.


A student's marks increase from 480 to 576. Find the percentage increase.

  • A. 18%
  • B. 20%
  • C. 22%
  • D. 25%

Solution

  • Increase = 576 − 480 = 96
  • Percentage Increase = (96 ÷ 480) × 100 = 20%

Shortcut

  • Increase ÷ Original × 100

The price of a laptop is reduced by 15%. If the original price was ₹60,000, find the new price.


  • A. ₹49,000
  • B. ₹50,000
  • C. ₹51,000
  • D. ₹52,000

Solution

  • 15% of ₹60,000 = ₹9,000
  • New Price = 60,000 − 9,000 = ₹51,000

A number is increased by 25% and becomes 500. Find the original number.

  • A. 360
  • B. 380
  • C. 400
  • D. 420

Solution

  • 125% = 500
  • 100% = (500 × 100) ÷ 125 = 400

Shortcut

  • Original Value = New Value × 100 ÷ (100 + Increase%)

A shopkeeper gives a 20% discount on an item marked at ₹2,500Find the selling price.

  • A. ₹1,900
  • B. ₹2,000
  • C. ₹2,100
  • D. ₹2,200

Solution

  • Discount = 20% of ₹2,500 = ₹500
  • Selling Price = ₹2,500 − ₹500 = ₹2,000

The population of a village decreases from 25,000 to 22,500. Find the percentage decrease.

  • A. 8%
  • B. 10%
  • C. 12%
  • D. 15%

Solution

  • Decrease = 2,500
  • Percentage Decrease = (2,500 ÷ 25,000) × 100 = 10%

Whenever the question says "decreased to" or "increased to", always divide by the original value, not the final value.


A salary increases by 20% in the first year and 10% in the second year. Find the overall percentage increase.

  • A. 28%
  • B. 30%
  • C. 32%
  • D. 35%

Solution

  • Net % Change = A + B + (A × B)/100 = 20 + 10 + (20 × 10)/100 = 20 + 10 + 2 = 32%

Shortcut

  • x% followed by y%
  • Net Increase = x + y + (xy/100)

The value of a machine decreases by 10% every year. If its present value is ₹81,000, what was its value 2 years ago?

  • A. ₹90,000
  • B. ₹95,000
  • C. ₹1,00,000
  • D. ₹1,05,000

Solution

  • After 2 years: Value = Original × (90/100)²
  • 81,000 = Original × 0.81
  • Original = 81,000 ÷ 0.81 = ₹1,00,000

If 35% of a number equals 140, what is 65% of the same number?

  • A. 240
  • B. 250
  • C. 260
  • D. 270

Solution

  • 35% = 140
  • 100% = (140 × 100) ÷ 35 = 400
  • 65% of 400 = 260

The price of sugar increases by 25%. By what percentage should consumption be reduced so that expenditure remains unchanged?

  • A. 15%
  • B. 18%
  • C. 20%
  • D. 25%

Solution

Required Reduction = Increase ÷ (100 + Increase) × 100 = 25 ÷ 125 × 100 = 20%

Shortcut Formula

  • If price increases by x%
  • Reduction = x/(100+x) ×100

The price of petrol decreases by 20%. A person increases consumption by 25%Find the net effect on expenditure.

  • A. 2% Increase
  • B. No Change
  • C. 4% Decrease
  • D. 5% Increase

Solution

  • Take original expenditure = 100
  • Price becomes = 80
  • Consumption becomes = 125
  • New Expenditure
  • = (80 × 125) ÷ 100 = 100
  • Hence, No Change

Shortcut

  • Net Change = A + B + (AB/100)
  • For one increase and one decrease, use signs carefully: = (+25) + (−20) + (25 × −20)/100 = 25 − 20 − 5 = 0%

The salary of an employee increases by 15% every year. If his current salary is ₹52,900, what was his salary one year ago?

  • A. ₹44,000
  • B. ₹45,000
  • C. ₹46,000
  • D. ₹47,000

Solution

  • Current Salary = Previous × 115%
  • Previous = 52,900 × 100 ÷ 115 = ₹46,000

The population of a city decreases by 10% in the first year and 20% in the second year. Find the total percentage decrease.

  • A. 28%
  • B. 30%
  • C. 32%
  • D. 35%

Solution

Net Change = (−10) + (−20) + (−10 × −20)/100 = −10 −20 +2 = −28%


A student scores 72% marks in an exam and gets 432 marks. Find the maximum marks.

  • A. 500
  • B. 550
  • C. 600
  • D. 650

Solution

  • 72% = 432
  • 100% = (432 ×100) ÷72 = 600

The ratio of boys and girls in a class is 3 : 5. Find the percentage of girls.

  • A. 35%
  • B. 50%
  • C. 62.5%
  • D. 75%

Solution

  • Girls = 5 Parts
  • Total = 8 Parts
  • Percentage = (5 ÷8) ×100 = 62.5%

Many Percentage questions are solved much faster by first converting them into a ratio.


The price of an article increases by 40%. By what percentage should consumption decrease so that expenditure remains unchanged?

  • A. 25%
  • B. 28.57%
  • C. 30%
  • D. 35%

Solution

  • Reduction = Increase ÷ (100 + Increase) = 40 ÷140 ×100 = 28.57%

A number is first increased by 30% and then decreased by 30%. Find the net percentage change.

  • A. No Change
  • B. 9% Increase
  • C. 9% Decrease
  • D. 6% Decrease

Solution

  • Net Change = 30 −30 +(30×−30)/100 = −9%

If 18% of a number is 90, what is 42% of that number?

  • A. 180
  • B. 200
  • C. 210
  • D. 225

Solution

  • 18% =90
  • 100% =500
  • 42% =210

A shopkeeper purchases an article for ₹800 and sells it at a profit of 25%Find the selling price.

  • A. ₹900
  • B. ₹950
  • C. ₹1,000
  • D. ₹1,050

Solution

  • Profit =25% of800 =₹200
  • Selling Price =₹1,000

A number is decreased by 35% and becomes 520. Find the original number.

  • A. 700
  • B. 760
  • C. 800
  • D. 850

Solution

  • 65% =520
  • 100% =(520×100)÷65 =800

In a school, 45% of students are girls. If there are 990 boys, find the total number of students.

  • A. 1,700
  • B. 1,750
  • C. 1,800
  • D. 1,900

Solution

  • Boys =55%
  • 55%=990
  • 100%=1800

The marked price of an article is ₹2,400. A discount of 25% is offered. Find the discount amount.

  • A. ₹500
  • B. ₹550
  • C.600
  • D. ₹650

A company increases salaries by 12%. If an employee's new salary is ₹56,000, find the old salary.

  • A. ₹48,000
  • B. ₹49,000
  • C. ₹50,000
  • D. ₹52,000

Solution

  • Old Salary =56,000×100÷112 =₹50,000

What percentage of 640 is 96?

  • A. 12%
  • B. 15%
  • C. 18%
  • D. 20%

The value of an investment becomes ₹13,200 after increasing by 10%. Find the original investment.

  • A. ₹11,000
  • B.12,000
  • C. ₹12,500
  • D. ₹13,000

If 80% of a number is 160, then 15% of the same number equals

  • A. 25
  • B. 30
  • C. 35
  • D. 40

The price of petrol decreases by 25%. A person increases consumption by 20%. Find the net effect on expenditure.

  • A. 10% Decrease
  • B. 8% Decrease
  • C. 5% Decrease
  • D. No Change

Solution

  • Net Change =20−25+(20×−25)/100 =−10%

An item costing ₹1,500 is sold for ₹1,800. Find the profit percentage.

  • A. 18%
  • B. 20%
  • C. 22%
  • D. 25%

The ratio of passed to failed students is 9 : 1. Find the percentage of students who passed.

  • A. 80%
  • B. 85%
  • C. 90%
  • D. 95%

A number is increased by 20% and then by another 25%. Find the overall percentage increase.

  • A. 40%
  • B. 45%
  • C. 50%
  • D. 55%

Solution

  • Net Increase =20+25+(20×25)/100 =20+25+5 =50%

A student's marks increase from 640 to 800. Find the percentage increase.

  • A. 20%
  • B. 22%
  • C. 25%
  • D. 30%

Solution

  • Increase = 800 − 640 = 160
  • Percentage Increase = (160 ÷ 640) × 100 = 25%

An item's price is reduced by 12%. If the original price was ₹4,500, find the new price.

  • A. ₹3,900
  • B. ₹3,960
  • C. ₹4,000
  • D. ₹4,050

Solution

  • 12% of ₹4,500 = ₹540
  • New Price = ₹4,500 − ₹540 = ₹3,960

If 18% of a number is 126, find 65% of that number.

  • A. 420
  • B. 440
  • C. 455
  • D. 465

Solution

  • 18% = 126
  • 100% = (126 × 100) ÷ 18 = 700
  • 65% = 455

A salary is increased by 30% and later reduced by 20%. Find the net percentage change.

  • A. 2% Increase
  • B. 4% Increase
  • C. 5% Increase
  • D. No Change

Solution

  • Net Change = 30 − 20 + (30 × -20)/100 = 30 − 20 − 6 = 4% Increase

Shortcut

  • Use: A + B + (AB/100)

(Remember to use a negative sign for decreases.)


A number is first decreased by 40% and then increased by 25%. Find the net percentage change.

  • A. 20% Decrease
  • B. 25% Decrease
  • C. 15% Decrease
  • D. 10% Decrease

Solution

  • Net Change = -40 + 25 + (-40 × 25)/100 = -40 + 25 -10 = -25%

  • A 20% increase followed by a 20% decrease is not zero.
  • Net Change = +20 −20 −4 = 4% Decrease

This is a very common AFCAT trap.


The population of a town increases by 15% every year. If the present population is 52,900, what was the population one year ago?

  • A. 44,000
  • B. 45,000
  • C. 46,000
  • D. 47,000

Solution

  • Previous Population = 52,900 ×100 ÷115 = 46,000

The marked price of an article is ₹8,000. A discount of 12.5% is offered. Find the selling price.

  • A. ₹6,800
  • B. ₹7,000
  • C. ₹7,200
  • D. ₹7,400

Solution

  • 12.5% = 1/8
  • Discount = 8,000 ÷8 = ₹1,000
  • Selling Price = ₹7,000

A student scores 468 marks, which is 78% of the total marks. Find the maximum marks.

  • A. 550
  • B. 580
  • C. 600
  • D. 650

The ratio of boys to girls is 9 : 11. Find the percentage of boys.

  • A. 40%
  • B. 42%
  • C. 45%
  • D. 48%

Solution

  • Boys = 9/20 ×100 = 45%

A machine depreciates by 20% every year. If its present value is ₹51,200, find its value 2 years ago.

  • A. ₹75,000
  • B. ₹80,000
  • C. ₹82,000
  • D. ₹85,000

Solution

  • Present = Original × (80/100)²
  • 51,200 = Original ×0.64
  • Original = ₹80,000

What percentage of 960 is 144?

  • A. 12%
  • B. 15%
  • C. 18%
  • D. 20%

A number increases from 250 to 325. Find the percentage increase.

  • A. 25%
  • B. 28%
  • C. 30%
  • D. 32%

The price of sugar increases by 20%. By what percentage should consumption be reduced to keep expenditure unchanged?

  • A. 15%
  • B. 16⅔%
  • C. 18%
  • D. 20%

Shortcut

  • Reduction =20÷120×100 =16⅔%

A person earns ₹72,000 annually. He saves 25% of his income. Find his annual expenditure.

  • A. ₹52,000
  • B. ₹54,000
  • C. ₹56,000
  • D. ₹58,000

If 35% of a number equals 280, find 15% of that number.

  • A. 100
  • B. 110
  • C. 120
  • D. 130

The value of an investment increases by 10%, then by 20%. Find the overall increase.

  • A. 28%
  • B. 30%
  • C. 32%
  • D. 35%

A trader buys an article for ₹2,400 and sells it for ₹3,000. Find the profit percentage.

  • A. 20%
  • B. 22%
  • C. 25%
  • D. 30%

A class has 40 students. If 60% are girls, find the number of boys.

  • A. 14
  • B. 15
  • C. 16
  • D. 18

A number is reduced by 25% and becomes 540. Find the original number.

  • A. 700
  • B. 710
  • C. 720
  • D. 740

A student's marks are increased by 20% and then by another 10%. If the original marks were 500, find the final marks.

  • A.640
  • B. 650
  • C. 660
  • D. 670

Solution

  • 500 ×1.20 ×1.10 =500 ×1.32 = 660

A number increases from 480 to 600. Find the percentage increase.

  • A. 20%
  • B. 22%
  • C. 25%
  • D. 30%

Solution

  • Increase = 600 − 480 = 120
  • Percentage Increase = (120 ÷ 480) × 100= 25%

A shirt marked at ₹2,800 is sold after a 15% discount. Find the selling price.

  • A. ₹2,320
  • B. ₹2,360
  • C. ₹2,380
  • D. ₹2,400

If 32% of a number is 256, find 75% of that number.

  • A. 540
  • B. 560
  • C. 580
  • D. 600

The population of a village decreases by 15% every year. If the current population is 7,225, what was the population one year ago?

  • A. 8,000
  • B. 8,250
  • C. 8,500
  • D. 9,000

A student's marks increase by 25% and become 500. Find the original marks.

  • A. 360
  • B. 380
  • C. 400
  • D. 420

Whenever the question asks for the original value after an increase, Use: Original = Final ×100 ÷ (100 + Increase%)


The price of sugar increases by 30%. By what percentage should consumption decrease so that expenditure remains unchanged?

  • A. 20%
  • B. 22%
  • C. 23.08%
  • D. 25%

A trader earns a 20% profit by selling an article for ₹2,400. Find the cost price.

  • A. ₹1,800
  • B.2,000
  • C. ₹2,100
  • D. ₹2,200

If 84% of a number equals 336, find 35% of that number.

  • A. 130
  • B. 135
  • C. 140
  • D. 145

The ratio of boys to girls is 7 : 13. Find the percentage of girls.

  • A. 60%
  • B. 62%
  • C. 65%
  • D. 70%

A number is first increased by 40% and then decreased by 25%. Find the net percentage change.

  • A. 5% Increase
  • B. 5% Decrease
  • C. No Change
  • D. 10% Increase

The value of a machine depreciates by 20% every year. If its current value is ₹64,000, find its value one year ago.

  • A. ₹75,000
  • B. ₹80,000
  • C. ₹82,000
  • D. ₹85,000

A student secures 540 marks, which is 90% of the total marks. Find the maximum marks.

  • A. 580
  • B. 590
  • C. 600
  • D. 620

The marked price of a TV is ₹48,000. A discount of 12.5% is offered. Find the selling price.

  • A. ₹40,000
  • B. ₹41,000
  • C. ₹42,000
  • D. ₹43,000

What percentage of 720 is 180?

  • A. 20%
  • B. 22%
  • C. 25%
  • D. 30%

An employee spends 80% of his salary. If he saves ₹12,000, find his monthly salary.

  • A. ₹50,000
  • B. ₹55,000
  • C.60,000
  • D. ₹65,000

The price of petrol decreases by 10% while consumption increases by 20%. Find the net effect on expenditure.

  • A. 6% Increase
  • B. 8% Increase
  • C. 10% Increase
  • D. 12% Increase

A number decreases from 840 to 672. Find the percentage decrease.

  • A. 18%
  • B. 20%
  • C. 22%
  • D. 25%

If 45% of a number is 225, then 28% of the same number equals

  • A. 130
  • B. 135
  • C. 140
  • D. 145

The population of a town increases by 10% every year. If the current population is 1,21,000, what was the population one year ago?

  • A. 1,00,000
  • B. 1,05,000
  • C. 1,10,000
  • D. 1,15,000

The cost price of an article is ₹1,600. It is sold at a profit of 15%. Find the selling price.

  • A. ₹1,780
  • B. ₹1,820
  • C.1,840
  • D. ₹1,860

Percentage = (Value ÷ Total) × 100

Increase% = (Increase ÷ Original) ×100

Decrease% = (Decrease ÷ Original) ×100

Net Change= A + B + (AB/100)

(Use a negative sign for decreases.)

Original= Final ×100 ÷ (100 ± Percentage)

Required Reduction= Increase ÷ (100 + Increase)×100

 The salary of an employee is increased by 25% and then by another 20%. If the original salary was ₹40,000, find the final salary.

  • A. ₹58,000
  • B. ₹60,000
  • C. ₹62,000
  • D. ₹64,000

Solution

  • Final Salary = 40,000 × 125% × 120% = 40,000 × 1.25 × 1.20 = ₹60,000

Shortcut

  • Net Increase = 25 + 20 + (25×20)/100 = 50%

The price of rice increases by 20%. By what percentage should consumption decrease so that total expenditure remains unchanged?

  • A. 15%
  • B. 16⅔%
  • C. 18%
  • D. 20%

Solution

  • Required Reduction = Increase ÷ (100 + Increase) ×100 = 20 ÷120 ×100 = 16⅔%

A student secures 504 marks, which is 84% of the maximum marks. Find the maximum marks.

  • A. 560
  • B. 580
  • C. 600
  • D. 620

Solution

  • Maximum Marks = (504 ×100) ÷84 = 600

The ratio of boys and girls is 9 : 16. Find the percentage of girls.

  • A. 60%
  • B. 62%
  • C. 64%
  • D. 66%

Solution

  • Girls =16 Parts
  • Total =25 Parts
  • Percentage =(16÷25)×100 = 64%

A machine depreciates by 15% every year. If its present value is ₹72,250, what was its value one year ago?

  • A. ₹82,000
  • B. ₹84,000
  • C. ₹85,000
  • D. ₹86,000

Solution

  • Previous Value =72,250 ×100 ÷85 = ₹85,000

Whenever depreciation is given, Previous Value = Present ×100 ÷(100 − Depreciation%)


A trader purchases an article for ₹3,200 and sells it at a profit of 25%. Find the selling price.

  • A. ₹3,800
  • B. ₹4,000
  • C. ₹4,200
  • D. ₹4,400

Solution

  • Profit =25%
  • Selling Price =3200 ×125% = ₹4,000

If 45% of a number equals 360, find 15% of the same number.

  • A. 110
  • B. 115
  • C. 120
  • D. 125

Solution

  • 45% =360
  • 100% =800
  • 15% =120

The population of a city increases by 10% every year. If the current population is 2,42,000, what was the population one year ago?

  • A. 2,10,000
  • B. 2,15,000
  • C. 2,20,000
  • D. 2,25,000

Solution

  • Previous Population =2,42,000 ×100 ÷110 = 2,20,000

An article is sold after giving a 20% discount on the marked price of ₹5,500. Find the selling price.

  • A. ₹4,200
  • B. ₹4,300
  • C. ₹4,400
  • D. ₹4,500

Solution

  • Discount =20%
  • Selling Price =80% of 5,500 = ₹4,400

The value of an investment increases by 20% in the first year and 25% in the second year. If the initial investment was ₹80,000, find the final amount.

  • A. ₹1,15,000
  • B. ₹1,18,000
  • C. ₹1,20,000
  • D. ₹1,25,000

Solution

  • Final Amount =80,000 ×120% ×125% =80,000 ×1.20 ×1.25 = ₹1,20,000

Shortcut

  • Net Increase =20 +25 +(20×25)/100 =50%
  • Final Amount =80,000 ×150% = ₹1,20,000

A person's salary increases by 10% every year. If his present salary is ₹72,600, what was his salary one year ago?

A. ₹64,000

B. ₹65,000

C. ₹66,000

D. ₹67,000

Solution

  • Previous Salary = 72,600 × 100 ÷ 110 = ₹66,000

The marked price of an article is ₹4,800. A shopkeeper offers a 25% discount. Find the selling price.

  • A. ₹3,400
  • B. ₹3,500
  • C. ₹3,600
  • D. ₹3,800

Solution

  • Selling Price = 75% of ₹4,800 = ₹3,600

A student scores 540 marks, which is 90% of the total marks. Find the maximum marks.

  • A. 580
  • B. 600
  • C. 620
  • D. 650

Solution

  • Total Marks = (540 × 100) ÷ 90 = 600

The ratio of boys to girls in a class is 8 : 12. Find the percentage of girls.

  • A. 50%
  • B. 55%
  • C. 60%
  • D. 65%

Solution

  • Girls = 12 Parts
  • Total = 20 Parts
  • Girls % = (12 ÷ 20) × 100 = 60%

The price of an article is increased by 25% and later decreased by 20%. Find the overall percentage change.

  • A. No Change
  • B. 2% Increase
  • C. 2% Decrease
  • D. 5% Increase

Solution

  • Net Change = +25 −20 +(25 × −20)/100 = 25 −20 −5 = 0%

Whenever one percentage increases and another decreases, Use: Net Change = A + B + (AB/100) (Remember to take decreases as negative.)


If 45% of a number equals 540, then 25% of that number is

  • A. 280
  • B. 290
  • C. 300
  • D. 320

Solution

  • 45% = 540
  • 100% = 1200
  • 25% = 300

The value of a machine decreases by 20% every year. If its present value is ₹1,28,000, find its value one year ago.

  • A. ₹1,50,000
  • B. ₹1,60,000
  • C. ₹1,70,000 
  • D. ₹1,80,000

Solution

  • Previous Value = 1,28,000 ×100 ÷80 = ₹1,60,000

The cost price of an article is ₹2,400. It is sold at a profit of 20%. Find the selling price.

  • A. ₹2,760
  • B. ₹2,800
  • C. ₹2,880
  • D. ₹3,000

Solution

  • Selling Price = 120% of ₹2,400 = ₹2,880

The population of a town increases by 25%. If the original population was 48,000, find the new population.

  • A. 56,000
  • B. 58,000
  • C. 60,000
  • D. 62,000

Solution

  • New Population = 48,000 ×125% = 60,000

A student's marks increase by 20% and then by another 15%. If the original marks were 500, find the final marks.

  • A. 680
  • B. 690
  • C. 700
  • D. 710

Solution

  1. Final Marks = 500 ×120% ×115% = 500 ×1.20 ×1.15 = 500 ×1.38 = 690

Shortcut

  • Net Increase = 20 +15 +(20×15)/100 = 20 +15 +3 = 38%
  • Final Marks = 500 ×138% = 690