The partnership chapter in quantitative aptitude covers the principles of partnerships and the distribution of profits and losses among partners. In this chapter we discuss 10 multiple-choice questions (MCQs) that provide practical examples to reinforce the Partnership concepts. By solving these MCQs, students improve their problem-solving skills and gain confidence in partnership calculations.
Multiple Choice Questions
Que 1: What is Ram’s share in the profit after one year, if Shyam and Ram entered into a partnership with an investment ratio of 3:2, Ram is the working partner receiving 10% of the profit, and the total profit earned is Rs. 75,000 out of which 5% goes to the charity?
(a) 32000
(b) 33000
(c) 31000
(d) 35000
Solution: 75000- 5% charity=71250
S:R=3:2=30:20
After deducting charity and commission⇒30-15%: 20-5%+10% of 30
⇒30-4.5: 20-1+3
⇒25.5: 22
⇒51:44
95 unit= 71250
1 unit= 750
Ram’s share= 44 unit= 44×750=33000
Option (b) is correct.
Que 2: How much is the difference between the shares of partner B and partner C in the total profit of Rs. 26,400 after one year, when A and B initially invested Rs. 16,000 and Rs. 12,000 respectively, and after 3 months A withdrew Rs. 5,000 while B invested an additional Rs. 5,000, and after 3 more months C joined the business with a capital of Rs. 21,000?
(a) 2400
(b) 1200
(c) 3600
(d) 4800
Solution: A:B:C= 16000×3+11000×9: 12000×3+17000×9: 21000×6
=7:9:6
Total= 22 unit=26400
1 unit=1200
Difference between the shares of B and C= 3 unit= 3600
Option (c) is correct.
Que 3: What is the share of partner B in the total profit of Rs. 6,700 for the year, considering that A and B started an enterprise together, with A as the active partner? A initially invested Rs. 4,000 and invested an additional Rs. 2,000 after 8 months. B initially invested Rs. 5,000 and withdrew Rs. 2,000 after 9 months. Furthermore, A takes a monthly allowance of Rs. 100 from the profit as the active partner.
(a) 3350
(b) 3250
(c) 2700
(d) 2800
Solution: A:B= 4000×8+6000×4: 5000×9+3000×3
=28: 27
Total allowance of A= 100×12=1200
Remaining profit=6700-1200=5500
Share of B in remaining profit= 2700
Option (c) is correct.
Que 4: Initially, A, B, and C entered into a partnership by investing in the ratio 3:5:7. After a year, C invested an additional Rs 3,37,600, and A withdrew Rs. 45,600. As a result, the ratio of investments changed to 24:59:167. What was the initial amount that A invested at the beginning of the partnership?
(a) 141600
(b) 88600
(c) 98400
(d) 152800
Solution: Initial Ratio⇒A:B:C=(3:5:7)×59=177:295:413
Final ratio⇒A:B:C=(24:59:167)×5=120:295:835
177-120=57 unit=45600
1 unit= 800
177 unit= 177×800=141600
Option (a) is correct.
Que 5: Mukul, Atul, and Rahul started a business together. Mukul initially invested 2/7th of the total investment, while the combined investment of Mukul and Atul is equal to Rahul’s investment. If they distributed the profit based on the capital ratio and Atul received Rs 1530, what is the total amount of profit they earned?
(a) 6550
(b) 7140
(c) 7350
(d) 7560
Solution: M: (A+R)= 2: 5
M+A=R
2+x=5-x
x=3/2
M:A:R=2:3/2:7/2=4:3:7
3 unit= 1530
1 unit= 510
14 unit=510×14= 7140
Option (b) is correct.
Que 6: X and Y initially invested their amounts for a year in the ratio of 3:5. In the second year, X increased his investment by 10%, while Y withdrew 12% of his initial investment. If X received Rs. 3450 as his share of the profit for the second year, what is the total profit incurred during the second year?
(a) 8000
(b) 7750
(c) 8050
(d) 7200
Solution: For second year
X:Y= 3×110%: 5×88%= 3:4
3 unit= 3450
1 unit= 1150
7 unit= 1150×7=8050
Option (c) is correct.
Que 7: P, Q, and R started a business with initial investments of Rs. 12000, Rs. 15000, and Rs. 18000 respectively. After 8 months, Q and R made additional investments in the ratio of 3:5 respectively. If, at the end of the year, the ratio of P’s share to Q’s share was 3:4, what was the amount invested by Q after 8 months as an additional investment?
(a) 1500
(b) 1800
(c) 2100
(d) 3000
Solution: 12000×12: 15000×12+3k×4: 18000×12+5k×4
12000×12: 15000×12+3k×4= 3:4
k=1000
The amount invested by Q after 8 months=3k=3000
Option (d) is correct.
Que 8: Ram, Shyam and Vinod started a business. Ram invested Rs. 15,000, Shyam invested Rs. 20,000, and Vinod invested Rs. 5,000? After the first month, Ram and Shyam began withdrawing Rs. 1,000 every month, while Vinod added Rs. 2,000 every month from their respective investments. If the total profit earned after 1 year was Rs. 80,000, what would be the difference in the profit shares of Vinod and Ram?
(a) 23000
(b) 12000
(c) 11000
(d) 13000
Solution: Ram⇒15000+14000+……..+4000= 1/2×(15000+4000)×12
Shyam⇒20000+19000+……..+9000= 1/2×(20000+9000)×12
Vinod⇒5000+7000+……..+27000= 1/2×(5000+27000)×12
R:S:V= 19:29:32⇒80 unit= 80,000
V-R= 13 unit=13000
Option (d) is correct.
Que 9: In a business venture, A, B, and C invest in a ratio of 5:6:4. Assuming A and C have invested for one year, how many months should B invest if he wants to receive 25% of the total profit at the end of the year?
(a) 4
(b) 6
(c) 3
(d) 9
Solution: A:B:C=5×12: 6×k: 4×12
5×12+4×12 : 6k= 3:1
k=6 months
Option (b) is correct.
Que 10: In a business venture, A, B, and C decided to invest different amounts for varying durations. A contributed Rs. 6500 for 6 months, B invested Rs. 8400 for 5 months, and C put in Rs. 10,000 for 3 months. A took on the role of the working member and was entitled to receive 5% of the profits. If the total profit earned was Rs. 7400, what was B’s share in the profit?
(a) 1900
(b) 2660
(c) 2800
(d) 2840
Solution: A:B:C=6500×6: 8400×5: 10000×3
=13: 14: 10
A receives 5% of the profit⇒ 13+0.7+0.5: 14-0.7: 10-0.5
=(142: 133: 95)⇒ 370 unit
370 unit=7400
1 unit= 20
B’s share= 133 unit= 133×20=2660
Option (b) is correct.
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