Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

Approximation & Simplification Banking Awareness Cloze Test Data Interpretation - Caselets Data Sufficiency - Banking Type Error Detection - Grammar Financial Markets Basics Mixtures and Alligations Mixtures and Alligations - Common Mistakes Mixtures and Alligations - Practice Problems with Solutions Mixtures and Alligations - Shortcuts and Tricks Number Series Para Jumbles Problems on Trains and Boats Problems on Trains and Boats - Common Mistakes Problems on Trains and Boats - Practice Problems with Solutions Problems on Trains and Boats - Shortcuts and Tricks Profit and Loss Problems Profit and Loss Problems - Common Mistakes Profit and Loss Problems - Practice Problems with Solutions Profit and Loss Problems - Shortcuts and Tricks Quadratic Equations for Banking Ratio, Proportion and Partnership Ratio, Proportion and Partnership - Common Mistakes Ratio, Proportion and Partnership - Practice Problems with Solutions Ratio, Proportion and Partnership - Shortcuts and Tricks Reading Comprehension - Banking Level Sentence Improvement Simple and Compound Interest Simple and Compound Interest - Common Mistakes Simple and Compound Interest - Practice Problems with Solutions Simple and Compound Interest - Shortcuts and Tricks Time and Work Problems Time and Work Problems - Common Mistakes Time and Work Problems - Practice Problems with Solutions Time and Work Problems - Shortcuts and Tricks Time, Speed and Distance Time, Speed and Distance - Common Mistakes Time, Speed and Distance - Practice Problems with Solutions Time, Speed and Distance - Shortcuts and Tricks

Q. A loan of $2000 is taken at a rate of 6% per annum. What will be the compound interest after 2 years?

A. $240
B. $252
C. $300
D. $280

Solution

Compound Interest = P(1 + r/n)^(nt) - P = 2000(1 + 0.06)^2 - 2000 = 2000(1.1236) - 2000 = 252.

Correct Answer: B — $252

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Q. A loan of $2000 is taken for 3 years at a simple interest rate of 7%. What is the total interest paid?

A. $280
B. $300
C. $350
D. $420

Solution

SI = (P * r * t) / 100 = (2000 * 7 * 3) / 100 = $420.

Correct Answer: A — $280

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Q. A loan of $5000 is taken at a compound interest rate of 6% per annum. What will be the amount after 2 years?

A. $5630
B. $6000
C. $6760
D. $7000

Solution

Amount = Principal × (1 + Rate)^Time = 5000 × (1 + 0.06)^2 = 5000 × 1.1236 = $5618.

Correct Answer: C — $6760

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Q. A loan of $8000 is taken at a simple interest rate of 7% per annum. What will be the total amount to be paid back after 4 years?

A. $9600
B. $8800
C. $8400
D. $8000

Solution

Total Amount = Principal + SI = 8000 + (8000 × 7 × 4 / 100) = 8000 + 2240 = $10240.

Correct Answer: B — $8800

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Q. A man bought a bicycle for $300 and sold it for $360. What is his profit percentage?

A. 15%
B. 20%
C. 25%
D. 30%

Solution

Profit = Selling Price - Cost Price = 360 - 300 = 60. Profit Percentage = (Profit/Cost Price) * 100 = (60/300) * 100 = 20%.

Correct Answer: B — 20%

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Q. A man bought a bicycle for $500 and sold it for $600. What is the percentage profit?

A. 20%
B. 25%
C. 30%
D. 15%

Solution

Profit = Selling Price - Cost Price = 600 - 500 = 100. Percentage Profit = (Profit / Cost Price) * 100 = (100 / 500) * 100 = 20%.

Correct Answer: B — 25%

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Q. A man bought a watch for $200 and sold it at a loss of 10%. What is the selling price?

A. $180
B. $190
C. $200
D. $210

Solution

Loss = 10% of 200 = 20. Selling Price = Cost Price - Loss = 200 - 20 = 180.

Correct Answer: A — $180

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Q. A man bought two articles for $300 and $500. If he sells both for $600 each, what is his overall profit percentage?

A. 25%
B. 20%
C. 30%
D. 15%

Solution

Total Cost Price = 300 + 500 = 800. Total Selling Price = 600 + 600 = 1200. Profit = 1200 - 800 = 400. Profit Percentage = (400/800) * 100 = 50%.

Correct Answer: B — 20%

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Q. A man can complete a task in 15 days. If he works for 5 days, what percentage of the task is completed?

A. 25%
B. 30%
C. 33.33%
D. 20%

Solution

Work done in 5 days = 5/15 = 1/3. Percentage completed = (1/3) * 100 = 33.33%.

Correct Answer: C — 33.33%

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Q. A man can complete a work in 10 days. If he works for 3 days, what fraction of the work is left?

A. 1/3
B. 1/2
C. 2/5
D. 1/5

Solution

Work done in 3 days = 3/10. Work left = 1 - 3/10 = 7/10.

Correct Answer: A — 1/3

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Q. A man sells a bicycle for $300 at a profit of 20%. What was the cost price of the bicycle?

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

Solution

Let Cost Price = x. Selling Price = x + 20% of x = 1.2x. 1.2x = 300. x = 300/1.2 = 250.

Correct Answer: A — $240

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Q. A man sells a book for $80, making a profit of 60%. What was the cost price of the book?

A. $50
B. $40
C. $60
D. $70

Solution

Let Cost Price = x. Selling Price = x + 60% of x = 1.6x. 1.6x = 80. x = 80/1.6 = 50.

Correct Answer: B — $40

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Q. A man spends 30% of his salary on rent and 20% on groceries. If his salary is $2000, how much does he spend on groceries?

A. $400
B. $300
C. $500
D. $600

Solution

Amount spent on groceries = 20% of 2000 = 0.2 * 2000 = $400.

Correct Answer: A — $400

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Q. A merchant sells two articles for $500 each. If he makes a profit of 10% on one and a loss of 10% on the other, what is his overall profit or loss?

A. Loss of $5
B. Profit of $5
C. No profit no loss
D. Loss of $10

Solution

Cost Price of first = 500/1.1 = 454.55, Selling Price = 500. Cost Price of second = 500/0.9 = 555.56, Selling Price = 500. Total Cost Price = 454.55 + 555.56 = 1010.11, Total Selling Price = 1000. Loss = 1010.11 - 1000 = 10.11.

Correct Answer: A — Loss of $5

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Q. A mixture contains 30% alcohol and 70% water. If 20 liters of the mixture is taken out and replaced with water, what is the new percentage of alcohol in the mixture?

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

Solution

Initial alcohol = 30% of 20L = 6L. Remaining alcohol = 30L - 6L = 24L. New mixture = 24L + 20L = 44L. New percentage of alcohol = (24/44) * 100 = 54.55%.

Correct Answer: B — 28%

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Q. A mixture of two liquids A and B is in the ratio 5:3. If the total volume of the mixture is 64 liters, how much liquid A is there?

A. 40 liters
B. 32 liters
C. 30 liters
D. 36 liters

Solution

Total parts = 5 + 3 = 8. Volume of A = (5/8) * 64 = 40 liters.

Correct Answer: A — 40 liters

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Q. A mixture of two types of fruit juice contains 30% orange juice and 70% apple juice. If 5 liters of apple juice is added, what is the new percentage of orange juice in the mixture?

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

Solution

Initial volume = 10L. Orange juice = 3L. New volume = 15L. New percentage = (3/15) * 100 = 20%.

Correct Answer: A — 25%

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Q. A mixture of two types of tea costs $5 per kg and $7 per kg. If a mixture of 10 kg is made and sold for $6 per kg, what is the profit or loss?

A. $0
B. $5
C. $10
D. $15

Solution

Cost of mixture = 10 kg * $6 = $60. Selling price = 10 kg * $6 = $60. Profit = $60 - $60 = $0.

Correct Answer: B — $5

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Q. A mutual fund has an annual return of 8%. If you invest $1,000, how much will you have after 3 years with compound interest?

A. $1,080
B. $1,259.71
C. $1,343.92
D. $1,500

Solution

Amount = Principal * (1 + Rate)^Time = 1000 * (1 + 0.08)^3 = 1000 * 1.25971 = $1,259.71

Correct Answer: C — $1,343.92

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Q. A person borrowed $5000 at a compound interest rate of 10% per annum. What will be the amount after 2 years?

A. $6050
B. $5500
C. $6000
D. $6100

Solution

Amount = P(1 + r)^n = 5000(1 + 0.1)^2 = 5000(1.21) = $6050.

Correct Answer: A — $6050

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Q. A person borrows $5000 at a rate of 8% per annum for 3 years. What is the total interest paid?

A. $1200
B. $1500
C. $2000
D. $1800

Solution

Simple Interest = Principal * Rate * Time = 5000 * 0.08 * 3 = $1200.

Correct Answer: D — $1800

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Q. A person borrows $5000 at a rate of 8% per annum for 4 years. What is the total amount to be paid back?

A. $6000
B. $6400
C. $6800
D. $7200

Solution

Total Amount = Principal + Simple Interest = 5000 + (5000 * 8 * 4) / 100 = 5000 + 1600 = $6600.

Correct Answer: B — $6400

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Q. A person bought a laptop for $800 and sold it for $720. What is the loss percentage?

A. 10%
B. 15%
C. 20%
D. 5%

Solution

Loss = Cost Price - Selling Price = 800 - 720 = 80. Loss Percentage = (Loss/Cost Price) * 100 = (80/800) * 100 = 10%.

Correct Answer: B — 15%

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Q. A person bought a watch for $300 and sold it for $360. What is the profit percentage?

A. 15%
B. 20%
C. 25%
D. 30%

Solution

Profit = Selling Price - Cost Price = 360 - 300 = 60. Profit Percentage = (60/300) * 100 = 20%.

Correct Answer: B — 20%

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Q. A person has an average of 80 marks in 5 subjects. If he scores 90 in the 6th subject, what will be his new average?

A. 82
B. 83
C. 84
D. 85

Solution

Total marks in 5 subjects = 80 × 5 = 400. New total = 400 + 90 = 490. New average = 490/6 = 81.67, rounded to 82.

Correct Answer: C — 84

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Q. A person invests $1000 at a compound interest rate of 5% per annum. What will be the amount after 2 years?

A. $1100.25
B. $1025
C. $1050
D. $1200

Solution

Amount = P(1 + r/n)^(nt) = 1000(1 + 0.05/1)^(1*2) = 1000(1.05)^2 = 1102.5.

Correct Answer: A — $1100.25

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Q. A person runs 10 km in 50 minutes. What is his speed in km/h?

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 15 km/h

Solution

Speed = Distance / Time = 10 km / (50/60) h = 12 km/h.

Correct Answer: B — 12 km/h

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Q. A person sold a laptop for $1200 at a loss of 20%. What was the cost price?

A. $1400
B. $1500
C. $1600
D. $1700

Solution

Let Cost Price = x. Selling Price = x - 20% of x = 0.8x. 0.8x = 1200. x = 1200/0.8 = 1500.

Correct Answer: B — $1500

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Q. A product is marked at $500 and sold at a discount of 20%. What is the selling price?

A. $400
B. $450
C. $350
D. $300

Solution

Discount = 20% of 500 = 100. Selling Price = Marked Price - Discount = 500 - 100 = 400.

Correct Answer: B — $450

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Q. A retailer bought a shirt for $30 and sold it for $45. What is the profit percentage?

A. 50%
B. 40%
C. 30%
D. 20%

Solution

Profit = Selling Price - Cost Price = 45 - 30 = 15. Profit Percentage = (15/30) * 100 = 50%.

Correct Answer: A — 50%

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Arithmetic Aptitude

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