# Partnership Question

In competitive examinations such as SSC/Bank/Railway etc, Partnership Topic is included in the Quantitative Aptitude section. Here, on this page we have provided 22+ Partnership Questions and Answers for those individuals who are preparing for these exams.

Partnership Question with their explanation along with some practice questions are available here, so candidates must start their preparation from now onwards as examinations are going to be conducting in the upcoming days.

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 Partnership Questions Quick Tips and Tricks:(1) Simple Partnership: Partners invest for same time. Suppose P and Q invest Rs. x and Rs. y respectively for a year in a business, at the end of the year:  x : y = P’s share of profit : Q’s share of profit(2) Compound Partnership: When partners invest for different time periods. Suppose P and Q invest Rs. x for a months and Rs. y for b months respectively then,  Capital (amount) of P x Time period of P: Capital (amount) of Q x Time period of Q = P’s share of profit : Q’s share of profit When n number of partners invests for different time periods T, thenA1T1: A2T2: A3T3 ……: AnTn = P1: P2: P3….: PnA is the amount, T is the time period and P is the profit earned.

## Partnership Question

Partnership Question With Solution

Question 1) A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :

(A) 1 : 2 : 3

(B) 3 : 4 : 15

(C) 3 : 5 : 10

(D) 5 : 6 : 10

Answer 1) (D) 5 : 6 : 10

Explanation:

Let their initial investments be x, 3x and 5x respectively. Then,

A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)

20x : 24x : 40x = 5 : 6 : 10

Question 2) A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B’s money was used ?

(A) 3 months

(B) 6 months

(C) 10 months

(D) 12 months

Explanation:

Let the total profit be Rs. z. Then,

B’s share = Rs. 2z/3,  A’s share = Rs. ( z – 2z/3 ) = Rs. z/3.

A : B = z/3 : 2z/3 = 1:2

Let the total capital be Rs, X and suppose B’s money was used for x months. Then.

(1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3) = 10 .

Thus, B’s money was used for 10 months.

Question 3) A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B’s share ?

(A) 144

(B) 169

(C) 225

(D) 339

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B’s share =  Rs. (378 * 8/21) = Rs. 144.

Get Here: Permutation Combination Questions

Question 4) A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

(A) 4 months

(B) 5 months

(C) 6 months

(D) 8 months

Explanation:

Suppose B joined for x months . Then,  ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.

So, B joined for 8 months.

Question 5) If 4 (A’s capital) = 6 (B’s capital) = 10 (C’s capital), then out of a profit of Rs. 4650, C will receive ____

(A) Rs.700

(B) Rs.800

(C) Rs.900

(D) Rs.1000

Explanation:

Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6,  and C =k/10 .

A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.

Hence, C’s share (4650 * 6/31) = Rs, 900.

Question 6) Aman started a business investing Rs. 70,000. Rakhi  joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?

(A) 11 : 13 : 15

(B) 11 : 13 : 17

(C) 12 : 17 : 18

(D) 12 : 15 :16

Answer 6) (D) 12 : 15 :16

Explanation:

Aman : Rakhi : Sagar = (70000 x 36) : (105000 x 30) : (140000 x 24) = 12 : 15 : 16.

Question 7) A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C’s capital is :

(A) 4000

(B) 5000

(C) 6000

(D) 7000

Explanation:

A : B : C = 500 : 300 : 200 = 5 : 3 : 2.

Let their capitals be 5x, 3x and 2x respectively.

Then, 5x = 10000

=>  x = 2000.

C’s capital = 2x = Rs. 4000.

Question 8) A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?

(A) Rs. 39000

(B) Rs. 49000

(C) Rs. 59000

(D) Rs. 69000

Explanation:

Interest received by A from B = 10% of half of Rs.50000 = 10% of Rs. 25000 = Rs.2500.

Amount received by A per annum for being a working partner = 1500 x 12 = Rs.18000

Let ‘P’ be the part of the remaining profit that A receives as his share.

So, total income of A = (Rs.2500 + Rs.18000 + Rs. P )

Total income of B = only his share from the remaining profit = ‘P’, as  A and B share the remaining profit equally.

We know that income of A = Twice the income of B

So, (2500 + 18000 + P ) = 2(P)

P = 20500

Thus, the total profit = 2P + Rs.18000

= 2(20500) + 18000 = Rs.59000.

Question 9) A and B started a business jointly A’s investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :

(A) 22000

(B) 28000

(C) 32000

(D) 36000

Explanation:

Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.

So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.

B’s profit : Total profit  = 1 : 7.

Let the total profit be Rs. x Then,  1/7 = 4000/x  or x = 28000.

Question 10) Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran’s share in the profit ?

(A) 10110

(B) 10500

(C) 12000

(D) 13000

Explanation:

Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.

Simran’s share = Rs. ( 24500 * 3/7)  =  Rs. 10500.

Partnership Practice Questions

Question 1) A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

(A) 2 : 3 : 5

(B) 3 : 4 : 7

(C) 5 : 6 : 4

(D) 1 : 3 : 5

Question 2) A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?

(A) Rs. 240

(B) Rs. 75

(C) Rs. 125

(D) Rs. 354

Get Here Important: Mensuration Questions and Answers

Question 3) Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of  Rs. 31,570, Reena’s share is :

(A) 12628

(B) 18245

(C) 11235

(D) 10253

Question 4) A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?

(A) Rs. 7500

(B) Rs. 8000

(C) Rs. 8500

(D) Rs. 9000

Question 5) A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit  of Rs. 35,000, A receives :

(A) 14700

(B) 15000

(C) 12000

(D) 13500

Question 6) Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev’s share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?

(A) Rs. 45,000

(B) Rs. 50,000

(C) Rs. 70,000

(D) Rs. 75,000

Solve Out: Discount Questions and Answers

Question 7) X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :

(A) 20000

(B) 40000

(C) 60000

(D) 80000

Question 8) A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

(A) 150

(B) 160

(C) 170

(D) 180

Question 9) In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?

(A) 48400

(B) 54200

(C) 64000

(D) 74000

Question 10) Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is :

(A) 8400

(B) 8200

(C) 8100

(D) 8000

Question 11) Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?

(A) Rs. 1100

(B) Rs. 500

(C) Rs. 1200

(D) Rs. 700

Question 12) P and Q started a business investing Rs, 85,000 and Rs. 15,000 respectively. In what ratio the profit named after 2 years bo divided between P and Q respectively ?

(A) 17:23

(B) 17:3

(C) 17:33

(D) 3:4

Question 13) A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B’s share ?

(A) 144

(B) 169

(C) 225

(D) 339

Question 14) Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

(A) 4:6:8

(B) 4:7:8

(C) 4:8:16

(D) 4:9:16

Solve Out: Problem on HCF and LCM

Question 15) Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit?

(A) Ram – Rs. 800, Raj – Rs. 900, Rakesh – Rs. 840

(B) Ram – Rs. 900, Raj – Rs. 800, Rakesh – Rs. 840

(C) Ram – Rs. 840, Raj – Rs. 920, Rakesh – Rs. 840

(D) Ram – Rs. 800, Raj – Rs. 900, Rakesh – Rs. 940

Question 16) A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C  joins the business with a capital of Rs. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by

(A) 3500

(B) 3600

(C) 3700

(D) 3800

Question 17) Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join.

(A) 7 months

(B) 8 months

(C) 3 months

(D) 4 months

Question 18) Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?

(A) Rs. 5422

(B) Rs. 5489

(C) Rs. 4511

(D) Rs. 6145

Question 19) Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C’s share is

(A) Rs 200

(B) Rs 300

(C) Rs 400

(D) Rs 500

Check Out: Percentage Aptitude Questions

Question 20) A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?

(A) Rs. 820

(B) Rs. 830

(C) Rs. 840

(D) Rs. 850