Partnership For IBPS RRB 2024 Exam: The concept of partnership is an important topic in the Quantitative Aptitude section of IBPS RRB (Institute of Banking Personnel Selection Regional Rural Banks) exam. This article helps you to score good marks in cracking IBPS RRB 2024 exam so we are providing a comprehensive startup on partnership concepts, types, formulas and problem-solving strategies for partnership concept so that all the candidates can understand this concept well and score good marks.
What is Partnership?
A partnership is a business arrangement where two or more persons invest in a business and share profits and losses in an agreed ratio. The key elements in partnership problems are capital investment, period of investment and profit-sharing ratio.
Important Practical Question For Partnership
Question 1: X, Y, and Z together started a business by investing combined capital of Rs. 184000. The initial capitals of Y and Z were Rs. 16000 and Rs. 40000, respectively less than the initial capital of X. If Y withdrew Rs. 10000 at the end of 3rd month and his share of 1st year’s profit of Rs. ‘a’ was Rs. 2260. What was the 1st year’s profit?
A) Rs. 8200
B) Rs. 7060
C) Rs. 8040
D) Rs. 7410
E) None of the above
Question 2: A, B, and C stared a business with initial investments of Rs. ‘x’, Rs. ‘x + 200’, and Rs. ‘x + 600’, respectively. After one year A, B, and C made additional investments of Rs. 200, Rs. 300, and Rs. 300, respectively. Find the value of ‘x’ if the profit share of A out of the total profit of Rs. 5,728 after two years is Rs. 1,432.
A) Rs. 500
B) Rs. 700
C) Rs. 900
D) Rs. 1,300
E) None of these
Question 3: Rahul and Vikash invest capital in a business in the ratio 3:2 respectively. If x% of the total profit goes to an orphanage and Rahul’s share is Rs. 12672 out of the total profit of Rs. 24000, then find the value of ‘x’.
A) 10%
B) 12%
C) 8%
D) 15%
E) None of these
Question 4: Mahesh and Venketesh together started a business with the initial investment in the ratio of 5:x, respectively. Dhanush joined them after 3 months of the start of the work with initial investment equal to the average initial investment of Mahesh and Venketesh combined. If at the end of year, Venketesh received Rs. 3200 as profit out of total profit of Rs. 9900, find the value of ‘x’.
A) 3
B) 4
C) 5
D) 6
E) 8
Question 5: Prabhas and Samantha started a production house together with an initial investment of Rs. (18000 + x) and Rs. (19000 + 3x) respectively. After a year, if Samantha received a profit of Rs.32000 out of a total profit of Rs. 56000, then find the value of ‘x’.
A) Rs. 3500
B) Rs. 2400
C) Rs. 4200
D) Rs. 3600
E) None of these
Question 6: Sita and Urmila started a business together with investments of Rs. 3600 and Rs. 2400, respectively. After (x – 1) months, Radhika joined them with an investment of Rs. 3200. If after completion of 1 year of business, Urmila received Rs. 800 as profit out of total profit of Rs. 2800, find the value of x.
A) 2
B) 3
C) 4
D) 5
E) 6
Question 7: A and B started a business together with an investment of Rs. 2400 and Rs. 3000, respectively. After 3 months, C joined them with an investment 25% less than the initial investment of A. If after a year, they received a total profit of Rs. 9000, then what is the share of B?
A) Rs. 2000
B) Rs. 2400
C) Rs. 3200
D) Rs. 4000
E) Rs. 4800
Question 8: Prashant and Dixit together started a carpentry shop with initial investment in the ratio of 31:x respectively. After 3 months, Nitin joined them such that the ratio of initial investment of Dixit to Nitin is 2x:75. If after a year, Prashant received Rs. 4960 out of total profit of Rs. 16980, find the value of ‘x’.
A) 31
B) 37
C) 41
D) 47
E) 53
Question 9: A, B and C started a business with initial investments of Rs. 4,000, Rs. 4,500 and Rs. 5,500 respectively. After one year, A, B and C made additional investments of Rs. (x – 500), Rs. (x + 1000) and Rs. (x + 1500) respectively. Find the profit share of B out of the total profit of Rs. 7,560 after two years.
A) Rs. 2,520
B) Rs. 1,890
C) Rs. 1,540
D) Rs. 1,260
E) Can’t be determined
Question 10: Ajay, Vijay and Manoj started a business with initial investments of Rs. 11,000, Rs. 13,000 and Rs. 15,000 respectively. After one year, Ajay, Vijay and Manoj made additional investments of Rs. (x + 1500), Rs. (x + 1000) and Rs. (2x – 500) respectively. Find the value of ‘x’, if the profit share of Vijay after two years out of the total profit of Rs. 14,175 is Rs. 4,725.
A) Rs. 1,000
B) Rs. 800
C) Rs. 1,200
D) Rs. 1,600
E) Rs. 1,500
Solution 1: B)
Let X’s initial capital be Rs. ‘x’. Then the initial capitals of Y and Z would be Rs. ‘x – 16000’ and Rs. ‘x – 40000’ respectively. So,
(x) + (x – 16000) + (x – 40000) = 184000
3x – 56000 = 184000
x = Rs. 80000
So, initial capital of X, Y and Z are Rs. 80000, Rs. 64000 and Rs. 40000, respectively.
Profit sharing ratio between X, Y and Z at the end of the year
= [80000 × 12] : [64000 × 3 + 54000 × 9] : [40000 × 12]
= 960000 : 678000 : 480000
= 160 : 113 : 80
According to the question,
(113/353) × a = 2260
So, a = Rs. 7060
Hence, option b.
Solution 2: E)
Ratio of their investments = x + x+ 200 : x + 200 + x + 200 + 300 : x + 600 + x + 600 + 300
= 2x + 200 : 2x + 700 : 2x + 1500
So according to question: (2x + 200)/(6x + 2400) = 1432/5728
(x + 100)/(3x + 1200) = 1/4
4x + 400 = 3x + 1200
x = 800
So, the value of ‘x’ = Rs. 800
Hence, option e.
Solution 3: B)
Given, total profit earned = Rs. 24000
Profit earned by Rahul = Rs. 12672
According to question,
(100 – x)% of 24000 × (3/5) = 12672
(100 – x)% of 24000 = 21120
(100 – x)% = 21120/24000
100 – x = 88
x = 12%
Hence, option b.
Solution 4: B)
Ratio of Investment of Mahesh: Venketesh: Dhanush = 5: x: (5 + x)/2 = 10: 2x: (5 + x)
Ratio of profit share of Mahesh: Venketesh: Dhanush = (10 × 12): (2x × 12): {(5 + x) × 9}
= 40: 8x: 3(5 + x)
According to question,
8x/[40 + 8x + 3(5 + x)] = 3200/9900
8x/[55 + 11x] = 32/99
792x = 1760 + 352x
440x = 1760
x = 4
So, the value of ‘x’ is 4.
Hence, option b.
Solution 5: E)
Ratio of profit share of Prabhas: Samantha = (18000 + x): (19000 + 3x)
According to question,
(19000 + 3x) / (19000 + 3x) + (18000 + x) = 32000/56000
(19000 + 3x) / (37000 + 4x) = 4 / 7
133000 + 21x = 148000 + 16x
5x = 15000, x = 3000
So, the value of ‘x’ is Rs. 3000
Hence, option e.
Solution 6: C)
Ratio of profit share:
Sita: Urmila: Radhika = (3600 × 12): (2400 × 12): {3200 × (12 – x + 1)} = 27: 18: 2(13 – x)
According to question,
18/ [27 + 18 + 2(13 – x)] = 800/2800
18 × 7 = 90 + 52 – 4x
4x = 142 – 126
4x = 16
x = 16/4 = 4
Hence, option c.
Solution 7: D)
Investment of C = (100 – 25)% of 2400 = 0.75 × 2400 = Rs. 1800
Ratio of Profit Share:
A: B: C = (2400 × 12): (3000 × 12): (1800 × 9) = 28800: 36000: 16200 = 16: 20: 9
Therefore, profit share of B = [20/ (16 + 20 + 9)] × 9000 = Rs. 4000
Hence, option d.
Solution 8: D)
Ratio of initial investments of Prashant: Dixit: Nitin = 62: 2x: 75
Ratio of profit share of Prashant: Dixit: Nitin = (62 × 12): (2x × 12): (75 × 9) = 248: 8x: 225
According to question,
248/ (248 + 8x + 225) = 4960/16980
473 + 8x = 849
8x = 376, x = 47
So, the value of ‘x’ is 47.
Hence, option d.
Solution 9: A)
Ratio of the investment of A: B: C = (4000 + 4000 + x – 500) : (4500 + 4500 + x + 1000) : (5500 + 5500 + x + 1500)
= (7500 + x) : (10000 + x) : (12500 + x)
Profit share of B = {(10000 + x)/(30000 + 3x)) × 7560 = Rs. 2,520
Hence, option a.
Solution 10: A)
Ratio of their investments = (11000 + 11000 + x + 1500) :(13000 + 13000 + x + 1000) : (15000 + 15000 + 2x – 500)
= (23500 + x) :(27000 + x) : (29500 + 2x)
According to question,
(27000 + x)/(23500 + x + 27000 + x + 29500 + 2x) = 4725/14175
(27000 + x)/(80000 + 4x) = 1/3
81000 + 3x = 80000 + 4x
x = 1000
So, the value of x is Rs. 1,000.
Hence option a.
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Partnership For IBPS RRB 2024 Exam FAQ
A partnership is a formal arrangement by two or more parties to manage and operate a business and share its profits.
Profits in a partnership are typically shared according to the agreed-upon ratio among the partners, which could be based on their capital contributions, effort, or other factors.
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