Partnership For IBPS RRB 2024 Exam, Check Important Questions

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 3^rd month and his share of 1^st year’s profit of Rs. ‘a’ was Rs. 2260. What was the 1^st 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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