A vendor sells 40% of his stock at 10% profit and remaining at 5% loss. What is overall profit/loss percentage?

The correct answer is A: 1% profit. Let stock = 100. 40 units at 10% profit = 44. 60 units at 5% loss = 57. Total SP = 101. Profit = 1%

The ratio of two numbers is 4:5 and their HCF is 8. Find the numbers.

The correct answer is B: 32 and 40. Let numbers be 4k and 5k. HCF = k = 8. So numbers are 32 and 40

In how many years will ₹9,000 become ₹11,700 at 15% simple interest per annum?

The correct answer is B: 2 years. SI = 11700 - 9000 = 2700. Using T = (SI × 100)/(P × R) = (2700 × 100)/(9000 × 15) = 2 years

A boat's speed in still water is 12 km/h and the speed of current is 3 km/h. How long will it take to travel 60 km downstream?

The correct answer is A: 4 hours. Downstream speed = 12 + 3 = 15 km/h. Time = 60/15 = 4 hours

A train travels 450 km in 5 hours. What is its average speed?

The correct answer is C: 90 km/h. Speed = Distance/Time = 450/5 = 90 km/h

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Quantitative Aptitude
Numbers

Quantitative aptitude questions for competitive exams

196 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 41–50 of 196

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 150 Profit and Loss 102 Time and Work 101 Percentage 101 Simple Interest 50 Average 48

Q.41 Easy Numbers

A boat takes 4 hours to travel 48 km downstream and 6 hours to travel the same distance upstream. What is the speed of the current?

A 1 km/h

B 2 km/h

C 3 km/h

D 4 km/h

Correct Answer: B. 2 km/h

EXPLANATION

Downstream speed = 48/4 = 12 km/h. Upstream speed = 48/6 = 8 km/h. Current speed = (12 - 8)/2 = 2 km/h.

Test

Q.42 Easy Numbers

Simple Interest on Rs. 5000 at 8% per annum for 2.5 years is:

A Rs. 800

B Rs. 900

C Rs. 1000

D Rs. 1200

Correct Answer: C. Rs. 1000

EXPLANATION

SI = (P × R × T) / 100 = (5000 × 8 × 2.5) / 100 = 100000/100 = Rs. 1000.

Test

Q.43 Easy Numbers

A pipe can fill a tank in 6 hours and empty it in 10 hours. If both pipes are opened together, how long will it take to fill the tank?

A 10 hours

B 15 hours

C 20 hours

D 25 hours

Correct Answer: B. 15 hours

EXPLANATION

Net rate = 1/6 - 1/10 = 5/30 - 3/30 = 2/30 = 1/15. Time = 15 hours.

Test

Q.44 Easy Numbers

If a man works alone, he can complete a task in 12 days. If his wife works alone, she can complete it in 18 days. Working together, in how many days will they complete the task?

A 7.2 days

B 8.4 days

C 9.6 days

D 10 days

Correct Answer: A. 7.2 days

EXPLANATION

Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36. Time = 36/5 = 7.2 days.

Test

Q.45 Easy Numbers

A merchant buys articles at Rs. 80 each and sells them at a profit of 37.5%. What is the selling price?

A Rs. 110

B Rs. 115

C Rs. 120

D Rs. 125

Correct Answer: A. Rs. 110

EXPLANATION

To find the selling price, we use the profit formula: Selling Price = Cost Price + Profit, where profit is calculated as a percentage of the cost price.

Step 1: Identify given information

Cost Price (C.P.) = Rs. 80

Profit % = 37.5%

Step 2: Convert profit percentage to a fraction

37.5\% = \frac{37.5}{100} = \frac{375}{1000} = \frac{3}{8}

Step 3: Calculate profit amount

\text{Profit} = \text{C.P.} \times \frac{\text{Profit}\%}{100}

\text{Profit} = 80 \times \frac{3}{8} = \frac{240}{8} = 30

Step 4: Calculate selling price

\text{Selling Price (S.P.)} = \text{C.P.} + \text{Profit}

\text{S.P.} = 80 + 30 = 110

Answer: The selling price is Rs. 110 (Option A)

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Quick Check: Using the formula \(\text{S.P.} = \text{C.P.} \left(1 + \frac{\text{Profit}\%}{100}\right) = 80 \left(1 + 0.375\right) = 80 \times 1.375 = 110\) ✓

Test

Q.46 Easy Numbers

A number is increased by 25% and then decreased by 20%. What is the net change in percentage?

A 0%

B 5%

C 10%

D 15%

Correct Answer: A. 0%

EXPLANATION

Let the number be 100. After 25% increase: 125. After 20% decrease on 125: 125 × 0.8 = 100. Net change = 0%.

Test

Q.47 Easy Numbers

A retailer buys goods at Rs. 450 per unit and sells at 40% profit. What is the selling price per unit?

A Rs. 590

B Rs. 600

C Rs. 630

D Rs. 650

Correct Answer: C. Rs. 630

EXPLANATION

SP = 450 × 1.40 = 630.

Test

Q.48 Easy Numbers

Two numbers are in ratio 4:7. If their difference is 45, what is the larger number?

A 100

B 105

C 110

D 120

Correct Answer: B. 105

EXPLANATION

Let numbers be 4x and 7x. 7x - 4x = 45, 3x = 45, x = 15. Larger = 7 × 15 = 105.

Test

Q.49 Easy Numbers

If 45% of a number is 180, what is 65% of that number?

A 260

B 270

C 280

D 300

Correct Answer: A. 260

EXPLANATION

Number = 180/0.45 = 400. 65% of 400 = 260.

Test

Q.50 Easy Numbers

Simple interest on Rs. 5000 for 4 years at 8% per annum is?

A Rs. 1200

B Rs. 1400

C Rs. 1600

D Rs. 1800

Correct Answer: C. Rs. 1600

EXPLANATION

SI = (P × R × T)/100 = (5000 × 8 × 4)/100 = 1600.

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