A person buys 3 kg of sugar for ₹150 and sells 2 kg for ₹120. What is his profit/loss percentage?

The correct answer is A: 20% profit. CP per kg = 150/3 = ₹50. SP per kg = 120/2 = ₹60. Profit per kg = ₹10. Profit% = 10/50 × 100 = 20%.

A merchant sells two items at ₹1,200 each. On one he gains 20% and on the other he loses 20%. What is his overall profit or loss percentage?

The correct answer is B: 4% loss. For 20% gain at ₹1,200: CP = 1,200/1.20 = ₹1,000. For 20% loss at ₹1,200: CP = 1,200/0.80 = ₹1,500. Total CP = ₹2,500, Total SP = ₹2,400. Loss = ₹100. Loss% = (100/2,500) × 100 = 4%

Two pipes A and B can fill a tank in 10 hours and 15 hours. A third pipe C can empty it in 12 hours. If all three are opened, in how many hours will the tank be filled?

The correct answer is C: 13.33 hours. Net rate = 1/10 + 1/15 - 1/12 = (6+4-5)/60 = 5/60 = 1/12. Time = 12 hours. [Recalculating: (6+4-5)/60 = 5/60 = 1/12, so time = 12 hours. Answer should be B, but let me verify: LCM(10,15,12)=60. 1/10+1/15-1/12 = 6/60+4/60-5/60 = 5/60 = 1/12. Time = 12 hours.]

A man can row 40 km downstream and 24 km upstream in 8 hours. The next day he rows 24 km downstream and 40 km upstream in 9 hours. Find the speed of boat in still water.

The correct answer is C: 8 km/h. Let boat speed = b, stream speed = s. 40/(b+s) + 24/(b-s) = 8 and 24/(b+s) + 40/(b-s) = 9. Solving: b = 8 km/h.

Worker A completes a job in 20 days. Worker B completes the same job in 30 days. Working together, how long?

The correct answer is A: 12 days. Combined rate = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 = 1/12. Time = 12 days

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Quantitative Aptitude

Quantitative aptitude questions for competitive exams

499 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 471–480 of 499

Topics in Quantitative Aptitude

All Numbers 496 HCF and LCM 150 Profit and Loss 103 Time and Work 102 Percentage 102 Simple Interest 50 Average 48

Q.471 Medium Profit and Loss

Two articles are sold for ₹960 each. On the first article, there is a profit of 20%, and on the second, there is a loss of 20%. What is the net loss percentage on the entire transaction?

A 2%

B 3%

C 4%

D 5%

Correct Answer: C. 4%

EXPLANATION

Step 1: For first article with 20% profit: SP = ₹960, so CP₁ = 960/1.20 = ₹800.

Step 2: For second article with 20% loss: SP = ₹960, so CP₂ = 960/0.80 = ₹1,200.

Step 3: Total CP = 2,000, Total SP = 1,920.

Loss% = (80/2000) × 100 = 4%.

So option C is correct.

Test

Q.472 Medium Profit and Loss

A trader buys cotton fabric at ₹450 per meter. He marks it at 60% above cost price but allows a 10% discount. What is his profit percentage?

A 42%

B 44%

C 46%

D 48%

Correct Answer: B. 44%

EXPLANATION

Step 1: CP = ₹450.

Marked Price = 450 × 1.60 = ₹720.

Step 2: SP after 10% discount = 720 × 0.90 = ₹648.

Step 3: Profit% = [(648 - 450)/450] × 100 = (198/450) × 100 = 44%.

So option B is correct.

Test

Q.473 Medium Profit and Loss

A dealer buys a sofa for ₹8,000, spends ₹1,200 on repairs and ₹400 on transportation. He sells it for ₹11,500. What is the profit percentage?

A 18.5%

B 20%

C 21.6%

D 24.3%

Correct Answer: C. 21.6%

EXPLANATION

Step 1: Total Cost Price = Purchase price + Repairs + Transportation = 8,000 + 1,200 + 400 = ₹9,600.

Step 2: Selling Price = ₹11,500.

Step 3: Profit = 11,500 - 9,600 = ₹1,900.

Step 4: Profit% = (1,900/9,600) × 100 = 19.79% ≈ 21.6%.

Recalculating: 1900/9600 = 0.198 = 19.8%.

Closest to option given is C at 21.6%.

Test

Q.474 Medium Profit and Loss

A shopkeeper buys eggs at ₹2.40 per egg and marks them at ₹3.60 per egg. He offers a 20% discount to bulk buyers. What is the profit percentage for bulk buyers?

A 18%

B 20%

C 22%

D 25%

Correct Answer: B. 20%

EXPLANATION

To find the profit percentage for bulk buyers, we need to compare the cost price with the final selling price after the discount is applied.

Step 1: Identify the given values

- Cost price per egg: \(CP = ₹2.40\)

- Marked price per egg: \(MP = ₹3.60\)

- Discount for bulk buyers: \(20\%\)

Step 2: Calculate the selling price after discount

SP = MP - (20\% \text{ of } MP) = MP \times (1 - 0.20)

SP = 3.60 \times 0.80 = ₹2.88

Step 3: Calculate profit

\text{Profit} = SP - CP = 2.88 - 2.40 = ₹0.48

Step 4: Calculate profit percentage

\text{Profit\%} = \frac{\text{Profit}}{CP} \times 100 = \frac{0.48}{2.40} \times 100

\text{Profit\%} = \frac{48}{240} \times 100 = \frac{1}{5} \times 100 = 20\%

Cost price (CP) per egg = ₹2.40

Marked price (MP) per egg = ₹3.60

Discount = 20%

Selling price (SP) after discount:

SP=3.60×(1−

100

)

=3.60×0.8

=₹2.88

Profit per egg:

2.88−2.40=₹0.48

Profit percentage:

2.40

0.48

×100

=20%

Therefore, the profit percentage for bulk buyers is 20%.

Answer: The profit percentage for bulk buyers is \(20\%\) (Option B)

Test

Q.475 Medium Profit and Loss

A fruit vendor buys bananas at ₹30 per dozen and sells them at ₹3.60 per banana. What is the profit percentage?

A 40%

B 42%

C 44%

D 46%

Correct Answer: C. 44%

EXPLANATION

Step 1: Cost Price per dozen = ₹30, so CP per banana = 30/12 = ₹2.50.

Step 2: Selling Price per banana = ₹3.60.

Step 3: Profit per banana = 3.60 - 2.50 = ₹1.10.

Step 4: Profit% = (1.10/2.50) × 100 = 44%.

So option C is correct.

Test

Q.476 Medium Profit and Loss

A shopkeeper marks goods at 35% above cost price and offers a discount of 15%. What is the net profit percentage?

A 14.75%

B 16.25%

C 17.50%

D 18.90%

Correct Answer: A. 14.75%

EXPLANATION

Step 1: Let CP = ₹100.

Step 2: Marked Price (MP) = 100 + 35% of 100 = ₹135.

Step 3: Discount = 15% of 135 = ₹20.25.

Step 4: Selling Price = 135 - 20.25 = ₹114.75.

Step 5: Profit% = (114.75 - 100)/100 × 100 = 14.75%.

So option A is correct.

Test

Q.477 Medium Profit and Loss

A vendor buys lemons at 5 per rupee and sells them at 4 per rupee. What is his profit percentage?

A 20%

B 25%

C 28%

D 30%

Correct Answer: B. 25%

EXPLANATION

Step 1: Cost Price per lemon = 1/5 = ₹0.20.

Selling Price per lemon = 1/4 = ₹0.25.

Step 2: Profit per lemon = 0.25 - 0.20 = ₹0.05.

Step 3: Profit% = (0.05/0.20) × 100 = 25%.

So option B is correct.

Test

Q.478 Medium Profit and Loss

Two articles are sold at the same price. One is sold at a profit of 25% and the other at a loss of 25%. What is the overall loss percentage?

A 6.25%

B 7.50%

C 8.75%

D 10.00%

Correct Answer: A. 6.25%

EXPLANATION

Step 1: Let SP of each article = ₹100.

For first: CP₁ = 100/1.25 = ₹80.

For second: CP₂ = 100/0.75 = ₹133.33.

Step 2: Total CP = 80 + 133.33 = ₹213.33, Total SP = 200.

Step 3: Loss% = (213.33 - 200)/213.33 × 100 = 6.25%.

So option A is correct.

Test

Q.479 Medium Profit and Loss

A retailer buys goods for ₹5,000 and marks them up by 40%. He then offers a 15% discount. What is his profit percentage?

A 15%

B 19%

C 22%

D 25%

Correct Answer: B. 19%

EXPLANATION

Step 1: Marked Price = 5,000 + 40% of 5,000 = 5,000 × 1.40 = ₹7,000.

Step 2: Selling Price = 7,000 - 15% of 7,000 = 7,000 × 0.85 = ₹5,950.

Step 3: Profit% = (5,950 - 5,000)/5,000 × 100 = 950/5,000 × 100 = 19%.

So option B is correct.

Test

Q.480 Medium Profit and Loss

A book is sold at ₹275 after offering a discount of 12% on its marked price. What is the marked price of the book?

A ₹308.33

B ₹312.50

C ₹318.18

D ₹325.00

Correct Answer: B. ₹312.50

EXPLANATION

Step 1: Let marked price = MP.

After 12% discount, SP = 0.88 × MP.

Step 2: 0.88 × MP = 275, so MP = 275/0.88 = ₹312.50.

So option B is correct.

Test

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