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All questions of Partnerships for Bank Exams Exam

P  and Q  invested  Rs.16000 and Rs. 12,000 in the business, At the end of 6 months R joins them with an amount Rs.20,000.In what ratio annual profit is divided among them ?
  • a)
    8:6:5
  • b)
    5:6:8
  • c)
    6:5:8
  • d)
    5:8:6
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Given Information:
P invests Rs.16,000
Q invests Rs.12,000
R joins after 6 months with Rs.20,000

To find:
Ratio in which annual profit is divided among P, Q, and R.

Calculation:
Step 1: Calculate the total investment made by P, Q, and R.
Total investment = (P's investment * P's duration) + (Q's investment * Q's duration) + (R's investment * R's duration)
= (16000 * 12) + (12000 * 12) + (20000 * 6)
= 192000 + 144000 + 120000
= 456000

Step 2: Calculate the ratio of the investment made by P, Q, and R.
Ratio of investment = (P's investment : Q's investment : R's investment)
= (16000 * 12 : 12000 * 12 : 20000 * 6)
= (192000 : 144000 : 120000)
= (8 : 6 : 5)

Therefore, the ratio in which annual profit is divided among P, Q, and R is 8:6:5.
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In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ? 
  • a)
    Rs.650
  • b)
    Rs.688
  • c)
    Rs.588
  • d)
    Rs.490
Correct answer is option 'B'. Can you explain this answer?

Aisha Gupta answered
P : Q = 3 : 2 , P : R = 2 : 1 [given] Q : P = 2 : 3 [reverse], Q : P = 4 : 6 [multiply by 2] Now, P : R = 2 : 1
P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3
or, P : Q : R = 6 : 4 : 3
Q’s share= 4/13 x 2236=Rs.688

In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?
  • a)
    Rs 5100
  • b)
    Rs 4170
  • c)
    Rs 5720
  • d)
    Rs 2100
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Faizan Khan answered
C) Rs 5720 Explanation: Let the whole time is 1. then A invests for 1/4, B invests for 1/2 and C for whole 1.
Contribution of C = 1 – (1/4 + 1/5) = 11/20 So A’s share : B’s share : C’s share 1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
1/16 : 1/10 : 11/20
5 : 8 : 44
Share of C in profit = 44/(5+8+44) * 7410 = 5720

A , B and C subscribe Rs. 70,000 for a business .B subscribe  Rs.5000 more than A and C subscribe  Rs.6000 more than B. Out of total profit of Rs. 40,000 , A receive (approximately)
  • a)
    10,285
  • b)
    10,286
  • c)
    10,284
  • d)
    10,268
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Faizan Khan answered
Answer -B) 10,286 Explanation : A = X; B = X+5000 ; C=X+11000
X+X+5000+X+11000 = 70000
X = 70000-16000/3 = 18000
A : B : C = 18,000 : 23,000 : 29,000 = 18 : 23 : 29
A profit = 40,000×(18/70) =10,285.71= 10,286

A and B started a business by investing Rs 8,000 and Rs 9,000 respectively.After 4 months A withdrew Rs 400 and B added Rs 400 more. What is the share of B from the profit of Rs 10,200?
  • a)
    Rs 5460
  • b)
    Rs 5480
  • c)
    Rs 5560
  • d)
    Rs 4460
  • e)
    Rs 4640
Correct answer is option 'C'. Can you explain this answer?

Kishore Kumar answered
For the First 4 months,

A = 4 × 8000 = 32,000 ; B = 4 × 9000 = 36,000 ;

For the next 8 months
,
A withdrew Rs.400 ; B added Rs.400 ;

i.e., A = 7,600×8 = 60,800 ; B = 9,400×8 = 75,200 ;

For 1 year ,
A = 32,000+60,800 = 92,800 ;

B = 36,000+75,200 = 1,11,200 ;
Now , A : B = 92,800 : 1,11,200; A : B = 116 : 139 ;
Profit = 10,200 ;
Share of B = 10,200 × 139/255 = 5,560 ;

 A and B invested in a business in which A invest 250 rupee more than B. B invested for 6 months while A invested for 4 months. If A get 200 more than B out of a total profit of 1000. Then the total amount invested in the business.
  • a)
    550
  • b)
    650
  • c)
    750
  • d)
    850
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Faizan Khan answered
Answer – 2.650 Explanation : Let B invest ‘x’ rupees so A will invest (x+250) Total investment made by A = (x+250)*4 and by B = 6x According to the problem- [[4(x+250) – 6x]/(1000+ 10x)]*1000 = 200.
X = 200. Total investment = 200+250+200 = 650

Anju and Bimal are partners in a business. Anju contributes 1 / 4 of the capital for 15 months and Bimal received 2 / 3 of the profit, for how long Bimal’s money was used ?
  • a)
    5 months
  • b)
    3 months
  • c)
    8 months
  • d)
    10 months
Correct answer is option 'D'. Can you explain this answer?

Ravi Singh answered
Let total profit is x
Then Bimal’s share in profit= (2/3)x
so anju’s share in profit= x- (2/3)x =x/3
so,we get ratios of profit of Anju :Bimal :: 1:2
Let total capital invested be Rs P and Anju’s money was used for 15 months while Bimal’s money was used for b months .
then, (1/4)P X 15 divide by (3/4)P x b = 1/2 [ Capital x time =profit] so,we get b=10
Bimal’s money was used for 10 months

Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod’s share in Rs.?
  • a)
    Rs.1800
  • b)
    Rs.2200
  • c)
    Rs.1200
  • d)
    Rs.1500
Correct answer is option 'C'. Can you explain this answer?

Ravi Singh answered
let total profit =x
ashok’s share in profit is (1/10)x
remaining profit = x= (1/10)x= (9/10)x
pramod’s share= 1/3 x (9/10)x = (3/10 )x
Prakash’s share= 2/3 x (9/10)x = (6/10)x
ashok – prakash= (6/10)x -(1/10)x = (5/10)x
5/10 x = 2,000 so, x= 4000 pramod’s share= (3/10) x 4000=1200

P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is:
  • a)
    Rs. 1435
  • b)
    Rs. 1500
  • c)
    Rs. 1538
  • d)
    Rs. 1580
Correct answer is option 'B'. Can you explain this answer?

Rojalin Nayak answered
Let the total profit is₹100. After paying 5percent to charity, remaining profit is₹95.here p's share is 3/5 *95 i.e. ₹57
as per the question p's share is₹855. So the total profit is 855/57*100=₹1500. That's why B is the correct answer.

A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money.Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?
  • a)
    91 : 60 : 85
  • b)
    61 : 81 : 72
  • c)
    65 : 80 : 74
  • d)
    84 : 80 : 81
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?

Aarav Sharma answered
Given:
A puts Rs 50, B puts Rs 45, and C puts Rs 70.

A withdrew half of his money at the end of 4 months.
B withdrew half of his money at the end of 6 months.
C remains until the end of the year.

To find: The ratio in which profit will be divided among A, B, and C.

Solution:
Let us calculate the total amount invested by A, B, and C and the time period for which they invested their money.

Total amount invested by A = Rs 50
Total amount invested by B = Rs 45
Total amount invested by C = Rs 70

A withdrew half of his money at the end of 4 months, so the amount remaining with him after 4 months = Rs 25.
B withdrew half of his money at the end of 6 months, so the amount remaining with him after 6 months = Rs 22.5.

Now, let us calculate the time period for which each of them invested their money.

A invested for 4 months and then withdrew half of his money. So, effectively he invested for 2 months.
B invested for 6 months and then withdrew half of his money. So, effectively he invested for 3 months.
C invested for the entire year i.e. 12 months.

Now, let us calculate the ratio in which profit will be divided among A, B, and C.

Ratio of profit = (Amount invested by A * Time period for which A invested) : (Amount invested by B * Time period for which B invested) : (Amount invested by C * Time period for which C invested)

Ratio of profit = (50 * 2) : (45 * 3) : (70 * 12)
Ratio of profit = 100 : 135 : 840
Ratio of profit = 20 : 27 : 168

Hence, the ratio in which profit will be divided among A, B, and C is 20 : 27 : 168. Therefore, option E is the correct answer.

A, B and C start a business and their investments are in the ratio 4 : 3 : 6. Both A and B starts the business and C joins them after 6 months. It was decided that C will get a monthly salary of Rs 500 from the annual profits. C’s total salary came out to be 10% of the annual profit after a year. What is the share of A in the total profits?
  • a)
    Rs 9,500
  • b)
    Rs 11,500
  • c)
    Rs 10,800
  • d)
    Rs 10,000
  • e)
    Rs 12,800
Correct answer is option 'C'. Can you explain this answer?

Faizan Khan answered
C) Rs 10,800 Explanation: After a year C gets salary = 500*6 = Rs 3,000 [Since C was for 6 months in the business with each month earning 500] So 10% of total profit after a year = 3,000 Total profit = Rs 30,000 A invested for 12 months, B for 12, and C for 6 months Ratio of profit shares = 4*12 : 3*12 : 6*6 = 4 : 3 : 3
Profit left after deducting salary of C = 30,000 – 3,000 = 27,000 So share of A = [4/(4+3+3)] * 27,000

Out of the total investment, A invested 1/4th , B invested 1/3rd of the remaining and C the remaining. B earned Rs 10,000 after a year. Find the yearly profit of all.
  • a)
    Rs 45,000
  • b)
    Rs 40,000
  • c)
    Rs 58,500
  • d)
    Rs 49,600
  • e)
    Rs 65,900
Correct answer is option 'B'. Can you explain this answer?

Kavya Saxena answered
B) Rs 40,000 Explanation: Let total investment = Rs x Then A’s = (1/4)*x Remaining = 3/4th of x So B’s investment = (1/3)*(3x/4) = x/4 And C’s = x – (x/4 + x/4) = x/2 so ratio of profits = x/4 : x/4 : x/2 = 1 : 1 : 2 so 1/4 * x = 10,000 x = 40,000

A started a business with Rs. 21,000 and is joined afterwars by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
  • a)
    8 months
  • b)
    2 months
  • c)
    5 months
  • d)
    7 months
Correct answer is option 'C'. Can you explain this answer?

Sagar Sharma answered
Calculation of B's joining time:
- Let the number of months B joined after A started the business be x.
- A's investment = Rs. 21,000
- B's investment = Rs. 36,000
- Profit is divided equally at the end of the year

Calculation of profit sharing ratio:
- A's share = 21,000 * 12 (months)
- B's share = 36,000 * x (months)

Profit sharing ratio:
- 21,000 * 12 : 36,000 * x = 1 : 1
- 21,000 * 12 = 36,000 * x
- 252,000 = 36,000 * x
- x = 252,000 / 36,000
- x = 7
Therefore, B joined the business after 7 months.
Option (d) 7 months is the correct answer.

Akash,Balu and Gopi invested Rs. 6000 , Rs.4000 and Rs.8000 in a business.Akash left a business after 6 months.If after one year there was a gain of Rs.5200.Then what will be the share of  Akash ?
  • a)
    1000
  • b)
    1020
  • c)
    1040
  • d)
    1004
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Faizan Khan answered
Answer -C) 1040 Explanation : A                              B                           G
6000×6                 4000×12                 8000×12
3                             4                           8
A:B:G = 3:4:8
Akash share = 5200×(3/15) = 1040

A,B and C shared the profit in a business in the ratio 5:7:8 and partnered for 14 months, 8 months and 7 months. Ratio of their invesments is:
  • a)
    19:49:64
  • b)
    20:49:64
  • c)
    20:49:65
  • d)
    20:50:64
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Given:
- Profit sharing ratio: 5:7:8
- Partnership duration: 14 months, 8 months, and 7 months

To Find:
- Ratio of their investments

Solution:
Let's assume the investments made by A, B, and C are x, y, and z respectively.

Step 1:
Since the profit sharing ratio is given, we can write the equation:
5x × 14 : 7y × 8 : 8z × 7 = 5 : 7 : 8

Simplifying the equation, we get:
70x : 56y : 56z = 5 : 7 : 8

Step 2:
To make the equation simpler, we can divide both sides by the common factor 7:
10x : 8y : 8z = 5 : 7 : 8

Step 3:
Since the partnership durations are given, we can write the equation:
10x × 14 : 8y × 8 : 8z × 7 = 14 : 8 : 7

Simplifying the equation, we get:
140x : 64y : 56z = 14 : 8 : 7

Step 4:
To make the equation simpler, we can divide both sides by the common factor 8:
17.5x : 8y : 7z = 14 : 8 : 7

Step 5:
Comparing the equations from step 2 and step 4, we can equate the values:
10x = 17.5x
This implies 10x / 17.5x = 1

Similarly,
8y / 8y = 1
7z / 7z = 1

Step 6:
Simplifying the equation, we get:
10 / 17.5 = 1 / x

Cross-multiplying, we get:
10x = 17.5

Simplifying further, we get:
x = 17.5 / 10
x = 1.75

Step 7:
Substituting the value of x in the equation from step 2, we get:
10(1.75) : 8y : 8z = 5 : 7 : 8

Simplifying the equation, we get:
17.5 : 8y : 8z = 5 : 7 : 8

Step 8:
Since we need to find the ratio of the investments, we can multiply each side by a common factor to get whole numbers. Let's multiply each side by 2:
35 : 16y : 16z = 10 : 14 : 16

Step 9:
Comparing the values, we get:
16y = 14 × 16
16y = 224
y = 224 / 16
y = 14

Similarly,
16z = 16 × 16
16z = 256
z = 256 / 16
z = 16

Step 10:
Now we have the values

Out of a total profit of Rs 19,600, B received Rs 10,000 as his share. If A invested Rs 8,000 for 6 months while B invested his amount for 5 months, then what is the amount invested by B?
  • a)
    Rs 6,000
  • b)
    Rs 8,000
  • c)
    Rs 8,500
  • d)
    Rs 10,000
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Sagar Sharma answered
Calculation of B's Investment:
1. Let's assume A's investment be x
2. B's investment can be calculated using the formula:
(A's investment * A's time) / (B's investment * B's time) = A's profit / B's profit
3. Substituting the given values:
(8000 * 6) / (B * 5) = 9600 / 10000
4. Solving the above equation, we get:
B = Rs 10,000
Therefore, the amount invested by B is Rs 10,000.

A ,B and C started a business with an invested amount 66,000, 72,000 and 90,000.At the end of 1 year the profit is distributed among them.If B receive profit as 22,000 then what will be the total profit ?
  • a)
    69,600
  • b)
    69,666.66
  • c)
    69,666
  • d)
    69,500.66
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Given:

Investment of A = 66,000

Investment of B = 72,000

Investment of C = 90,000

Profit received by B = 22,000

To Find: Total Profit

Let the total profit be x.

As the profit is distributed among A, B, and C in the ratio of their investments, we can find their shares in the profit using the following formula:

Share of A = (Investment of A / Total Investment) * Total Profit

Share of B = (Investment of B / Total Investment) * Total Profit

Share of C = (Investment of C / Total Investment) * Total Profit

Given that B received a profit of 22,000, we can write:

Share of B = 22,000

Using the above formula, we can write:

(Investment of B / Total Investment) * Total Profit = 22,000

Substituting the values, we get:

(72,000 / (66,000 + 72,000 + 90,000)) * x = 22,000

Simplifying the equation, we get:

0.24x = 22,000

x = 22,000 / 0.24

x = 91,666.66

Therefore, the total profit is 91,666.66.

Hence, the correct option is B) 69,666.66.

Chapter doubts & questions for Partnerships - IBPS Clerk Prelims 2024 Preparation 2024 is part of Bank Exams exam preparation. The chapters have been prepared according to the Bank Exams exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Bank Exams 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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