Aptitude Questions on Profit, Loss & Partnership for Placements

Review Profit Loss Concepts before you get started

Q. 1 Jaithalal decides to mark his electronic goods 50% above the cost price to make good profit. To further entice customers, he offers a discount of 20% on the marked price. What is the profit percentage jaithalal ultimately earns from his sales?

A) 20%

B) 25%

C) 30%

D) 35%

Check Solution

Ans: A) 20%

Let the cost price (CP) be ₹100.
Marked price (MP) = 100 + 50% of 100 = ₹150.
Selling price (SP) = MP – 20% of MP = 150 – 30 = ₹120.
Profit % = [(SP – CP) / CP] × 100 = [(120 – 100) / 100] × 100 = 20%.

Q. 2 A shopkeeper prides himself on offering the best deals. He purchases a batch of 40 pens for ₹50 and later sets a price where he sells 30 pens for ₹50. While doing this, he wonders: what is the percentage of profit he’s actually making on each pen?

A) 25%

B) 50%

C) 66.67%

D) 75%

Check Solution

Ans: B) 50%

Cost price (CP) of 1 pen = 50 / 40 = ₹1.25.
Selling price (SP) of 1 pen = 50 / 30 = ₹1.6667.
Profit % = [(SP – CP) / CP] × 100 = [(1.6667 – 1.25) / 1.25] × 100 = 33.33%.

Q. 3 Two friends, A and B, partner up to start a business. A invests ₹50,000, and B contributes ₹40,000. After a few months, B notices he’s entitled to a profit share of ₹6,000. Curious about how their business is doing, they ask their accountant: what is the total profit generated by their venture?

A) ₹15,000

B) ₹14,000

C) ₹13,500

D) ₹12,000

Check Solution

Ans: C) ₹13,500

The profit ratio of A and B = 50,000 : 40,000 = 5 : 4.
Let total profit be P. Then, B’s share = 4/(5+4) × P = 4/9 × P.
Given, 4/9 × P = 6,000.
P = 6,000 × 9 / 4 = ₹13,500.

Q. 4 A merchant known for his clever pricing strategy mixes two types of sugar: one costing ₹24 per kg and the other ₹30 per kg. He blends them in the ratio of 1:2 and sets a selling price that gives him a 20% profit. Can you determine the selling price of his mixture per kg?

A) ₹31.20/kg

B) ₹30.40/kg

C) ₹29.50/kg

D) ₹32.80/kg

Check Solution

Ans: D) ₹33.60/kg

Cost price of the mixture = (1 × 24 + 2 × 30) / 3 = (24 + 60) / 3 = ₹28/kg.
Selling price for 20% gain = 28 + 20% of 28 = ₹33.60/kg.

Q. 5 A neighbourhood shopkeeper purchases 20 kg of rice at ₹50 per kg and another 30 kg at ₹60 per kg. After mixing the two, he decides to sell the entire lot at ₹65 per kg. How much profit or loss percentage does he earn on this sale?

A) 12% profit

B) 15% profit

C) 16% profit

D) 18% profit

Check Solution

Ans: C) 16% profit

Total CP = (20 × 50) + (30 × 60) = 1000 + 1800 = ₹2800 for 50 kg.
SP = 50 × 65 = ₹3250.
Profit % = [(SP – CP) / CP] × 100 = [(3250 – 2800) / 2800] × 100 ≈ 16.07%.

Q. Two entrepreneurs, A and B, pool their resources to start a venture. A invests ₹40,000, while B invests ₹50,000. They agree to split profits in proportion to their investments. If their business earns a total profit of ₹13,500 in the first year, how much of this profit does B take home?

A) ₹5,400

B) ₹7,500

C) ₹6,750

D) ₹8,100

Check Solution

Ans: B) ₹7,500

Investment ratio of A and B = 40,000 : 50,000 = 4 : 5.
B’s share = 5/(4+5) × 13,500 = 5/9 × 13,500 = ₹7,500.

Q. 7 Nandalal sells two identical Sarees for ₹990 each. However, he gains 10% on one Saree and incurs a 10% loss on the other. After totaling his transactions, he wonders if he’s made an overall profit or a loss—and by what percentage?

A) No profit, no loss

B) 1% profit

C) 1% loss

D) 2% loss

Check Solution

Ans: C) 1% loss

Let the CP of item 1 be ₹x, and for item 2, it is also ₹x.
SP of item 1 = x + 10% of x = 1.1x.
SP of item 2 = x – 10% of x = 0.9x.
Net loss = (10% of 10%) = 1%.

Q. 8 Abha buys a gift item, sells it to Benny with a 20% profit, and Benny then sells it to Chandu at a 10% loss. If Chandu pays ₹216 for the item, what was the original cost price that Abha paid for it?

A) ₹180

B) ₹200

C) ₹220

D) ₹250

Check Solution

Ans: B) ₹200

Let the CP for A be ₹x.
After A sells to B at 20% profit: SP for B = 1.2x.
After B sells to C at 10% loss: SP for C = 0.9 × 1.2x = 1.08x.
1.08x = 216, so x = 216 / 1.08 = ₹200.

Q. 9 A farmer has a 40-liter mixture of milk and water, which contains 10% water. He wants to reduce the water content to just 5% by adding more milk. How much milk must he add to achieve this desired concentration?

A) 10 liters

B) 20 liters

C) 40 liters

D) 30 liters

Check Solution

Ans: C) 40 liters

Amount of water in 40 liters = 10% of 40 = 4 liters.
Let x liters of milk be added. Total solution = 40 + x.
Water content % = 4 / (40 + x) × 100 = 5%.
4 = 0.05(40 + x), x = 40 liters.

Q. 10 Three partners—Adani, Birla, and Clark—invest ₹10,000, ₹15,000, and ₹20,000 respectively in a business. Adani also takes on the role of a working partner and earns 20% of the total profit for his efforts. If the business generates ₹25,000 in profit, how much of the remaining profit does Birla receive?

A) ₹5,000

B) ₹6,000

C) ₹8,000

D) ₹7,500

Check Solution

Ans: B) ₹6,000

A’s service share = 20% of 25,000 = ₹5,000. Remaining profit = 25,000 – 5,000 = ₹20,000.
Investment ratio = 10,000 : 15,000 : 20,000 = 2 : 3 : 4.
B’s share = 3/(2+3+4) × 20,000 = 3/9 × 20,000 = ₹6,000.

Practice Questions for next topic: https://www.learntheta.com/aptitude-questions-averages-mixture-alligations/

Refer Topic wise Aptitude Questions with Solutions

With Adaptive Practice and Real-Time Insights, LearnTheta ensures steady progress and skill improvement for Aptitude: https://www.learntheta.com/placement-aptitude/

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top