A pipe fills a tank in 20 minutes. A drain empties it in 30 minutes. If both are opened, in how much time will the tank be filled?

The correct answer is B: 60 minutes. Fill rate = 1/20, Drain rate = 1/30. Net rate = 1/20 - 1/30 = 3/60 - 2/60 = 1/60. Time = 60 minutes

A wholesaler sells goods to a retailer at 30% discount on marked price. The retailer marks them at 20% above the cost price and gives a discount of 10%. If the marked price is ₹1,000, what is the final selling price?

The correct answer is A: ₹756. Step 1: Marked Price = ₹1000. Wholesaler's SP (Retailer's CP) = 1000 × (1 - 0.30) = ₹700. Step 2: Retailer marks at 20% above CP: New MP = 700 × 1.20 = ₹840. Step 3: Retailer gives 10% discount: Final SP = 840 × 0.90 = ₹756. So option A is correct.

The HCF of two numbers is 12 and their LCM is 72. If one number is 24, find the other number.

The correct answer is B: 36. Using HCF × LCM = Product of numbers: 12 × 72 = 24 × other number. 864 = 24 × other number. Other number = 864 ÷ 24 = 36.

Pipe A fills a tank in 30 hours, and Pipe B fills it in 20 hours. If both pipes work together, what is the average time taken by each pipe to fill 2/5 of the tank?

The correct answer is B: 7.2 hours. Combined rate = 1/30 + 1/20 = 5/60 = 1/12. Time to fill full tank = 12 hours. Time to fill 2/5 tank = 12 × 2/5 = 4.8 hours. Average per pipe = 4.8 × 1.5 = 7.2 hours.

A shopkeeper sells goods at 15% profit. If he had bought them at 10% less and sold for ₹4 less, he would gain 30%. What is the cost price?

The correct answer is A: ₹200. Let CP = x. SP = 1.15x. New CP = 0.9x. New SP = 1.15x - 4. New profit = 30%, so 1.15x - 4 = 1.3(0.9x). Solving: 1.15x - 4 = 1.17x gives x = 200

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Quantitative Aptitude
Profit and Loss

Quantitative aptitude questions for competitive exams

33 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 1–10 of 33

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.1 Easy Profit and Loss

A fruit seller buys mangoes at 4 for ₹10 and sells at 5 for ₹14. What is the profit percentage?

A 10%

B 12%

C 11%

D 9%

Correct Answer: B. 12%

EXPLANATION

CP per mango = 10/4 = 2.5. SP per mango = 14/5 = 2.8. Profit = 0.3. Profit% = (0.3/2.5) × 100 = 12%

Test

Q.2 Easy Profit and Loss

A retailer marks articles 40% above cost price but gives 20% discount on marked price. What is the net profit percentage?

A 12%

B 18%

C 16%

D 20%

Correct Answer: A. 12%

EXPLANATION

Let CP = 100. MP = 140. After 20% discount, SP = 140 × 80/100 = 112. Profit% = 12%

Test

Q.3 Easy Profit and Loss

A vendor buys oranges at ₹8 per dozen and sells them at ₹1 per orange. What is his profit percentage?

A 50%

B 75%

C 60%

D 40%

Correct Answer: A. 50%

EXPLANATION

CP per orange = 8/12 = ₹2/3. SP per orange = ₹1. Profit = 1 - 2/3 = ₹1/3. Profit% = (1/3)/(2/3) × 100 = 50%

Test

Q.4 Easy Profit and Loss

A merchant sold goods for ₹3,000 at a gain of 25%. What is the cost price?

A ₹2,200

B ₹2,400

C ₹2,500

D ₹2,600

Correct Answer: B. ₹2,400

EXPLANATION

SP = CP × 1.25. 3000 = CP × 1.25. CP = 3000/1.25 = ₹2,400

Test

Q.5 Easy Profit and Loss

A shopkeeper marks goods 25% above cost price and gives a discount of 10%. What is his net profit percentage?

A 10%

B 12.5%

C 13.5%

D 15%

Correct Answer: B. 12.5%

EXPLANATION

Let CP = 100. MP = 125. SP = 125 × 0.90 = 112.5. Profit% = (12.5/100) × 100 = 12.5%

Test

Q.6 Easy Profit and Loss

If cost price and selling price of an item are in ratio 4:5, what is the profit percentage?

A 20%

B 25%

C 33.33%

D 40%

Correct Answer: B. 25%

EXPLANATION

Let CP = 4x, SP = 5x. Profit = x. Profit% = (x/4x) × 100 = 25%

Test

Q.7 Easy Profit and Loss

A person buys notebooks at ₹15 per piece and sells at ₹22 per piece. If he sells 300 notebooks, what is his profit?

A ₹1,800

B ₹2,000

C ₹2,100

D ₹2,400

Correct Answer: C. ₹2,100

EXPLANATION

Profit per notebook = 22 - 15 = ₹7. Total profit = 7 × 300 = ₹2,100

Test

Q.8 Easy Profit and Loss

If an article is sold for ₹460, the profit is 15%. What would be the profit percentage if it is sold for ₹500?

A 22.5%

B 25%

C 27.5%

D 30%

Correct Answer: B. 25%

EXPLANATION

If SP = 460 and profit = 15%, then CP = 460/1.15 = ₹400. If SP = 500, Profit% = (500-400)/400 × 100 = 25%

Test

Q.9 Easy Profit and Loss

A retailer purchases items at ₹80 per unit and sells them at ₹120 per unit. If he sells 150 units, what is his total profit percentage?

A 50%

B 40%

C 60%

D 75%

Correct Answer: A. 50%

EXPLANATION

Profit per unit = 120 - 80 = ₹40. Profit% = (40/80) × 100 = 50%

Test

Q.10 Easy Profit and Loss

A shop offers 'Buy 3 Get 1 Free' offer on items marked at ₹100 each. What is the effective discount percentage?

A 20%

B 25%

C 30%

D 33.33%

Correct Answer: B. 25%

EXPLANATION

For 4 items: Total marked price = ₹400. Customer pays for 3 = ₹300. Discount = 100/400 × 100 = 25%.

Test

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Quantitative Aptitude Profit and Loss

Quantitative Aptitude
Profit and Loss