What is the sum of all prime numbers between 10 and 25?

The correct answer is C: 83. # Sum of Prime Numbers Between 10 and 25 To find the sum of prime numbers, we must first identify all prime numbers in the given range, then add them together. **Step 1: Identify All Prime Numbers Between 10 and 25** A prime number is a natural number greater than 1 that has no positive divisors oth

A train crosses a pole in 8 seconds. If the length of the train is 160m, what is its speed in km/h?

The correct answer is C: 72 km/h. Speed = Distance/Time = 160/8 = 20 m/s = 20 × 3.6 = 72 km/h

A man's income increases by 25%. If his new income is ₹62,500, what was his original income?

The correct answer is B: ₹50,000. New income = Original × 1.25. 62,500 = Original × 1.25. Original = 62,500/1.25 = ₹50,000

A boat travels 48 km upstream in 8 hours and 48 km downstream in 6 hours. Find the boat's speed in still water.

The correct answer is C: 7 km/h. To find the boat's speed in still water, use the relationship between distance, time, and speed in upstream/downstream motion. Let \(b\) = boat's speed and \(s\) = stream's speed. **Step 1: Find upstream speed** Upstream, the boat travels 48 km in 8 hours: \[\text{Upstream speed} = \frac{48}{8} = 6\

A number when divided by 8 leaves remainder 5. Which of the following could be the number?

The correct answer is A: 29. We need a number of the form 8k + 5. Check: 29 = 8(3) + 5 = 24 + 5. ✓

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Showing 21–30 of 499 questions

Q.21 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.

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Q.22 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.

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Q.23 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.

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Q.24 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.

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Q.25 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.

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Q.26 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)

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Q.27 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%.

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Q.28 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.

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Q.29 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.

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Q.30 Medium Profit and Loss

A merchant purchased 200 kg of sugar at ₹32 per kg. He sold 80% of it at a profit of 25% and the remaining at a loss of 10%. What is his net profit or loss?

A ₹2,880 profit

B ₹3,040 profit

C ₹2,560 profit

D ₹3,200 profit

Correct Answer: B. ₹3,040 profit

Explanation:

Step 1: Total CP = 200 × 32 = ₹6,400.

Step 2: 80% of 200 = 160 kg sold at 25% profit. SP₁ = 160 × 32 × 1.25 = ₹6,400.

Step 3: 20% of 200 = 40 kg sold at 10% loss. SP₂ = 40 × 32 × 0.90 = ₹1,152.

Step 4: Net profit = (6,400 + 1,152) - 6,400 = ₹1,152.

Wait, let me recalculate: Total SP = 6,400 + 1,152 = 7,552.

Net profit = 7,552 - 6,400 = ₹1,152.