Question 1

A, B and C enter into a partnership in the ratio 7⁄2 : 4⁄3 : 6⁄5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:

Accepted Answer

Ratio of initial investments = ❨ 7 : 4 : 6 ❩ = 105 : 40 : 36. 2 3 5 Let the initial investments be 105x, 40x and 36x. ∴ A : B : C = ❨ 105x x 4 + 150 x 105x x 8 ❩ : (40x x 12) : (36x x 12) 100 = 1680x : 480x : 432x = 35 : 10 : 9. Hence, B's share = Rs. ❨ 21600 x 10 ❩ = Rs. 4000. 54

Question 2

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?

Accepted Answer

Let B's capital be Rs. x. Then, ❨ 3500 x 12 = 2 ❩ 7x 3 ⟹ 14x = 126000 ⟹ x = 9000.

Question 3

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the b…

Accepted Answer

A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3. ∴ B's share = Rs. ❨ 25000 x 3 ❩ = Rs. 7,500. 10

Question 4

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 …

Accepted Answer

Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.

Question 5

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

Accepted Answer

Let the initial investments of A and B be 3x and 5x. A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.

Question 6

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

Accepted Answer

Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8) = 48 : 32 : 64 = 3 : 2 : 4. ∴ Kamal's share = Rs. ❨ 4005 x 2 ❩ = Rs. 890. 9

Question 7

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

Accepted Answer

Let the total profit be Rs. 100. After paying to charity, A's share = Rs. ❨ 95 x 3 ❩ = Rs. 57. 5 If A's share is Rs. 57, total profit = Rs. 100. If A's share Rs. 855, total profit = ❨ 100 x 855 ❩ = 1500. 57

Question 8

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

Accepted Answer

A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9. ∴ C's rent = Rs. ❨ 175 x 9 ❩ = Rs. 45. 35

Question 9

A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 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?

Accepted Answer

Suppose B joined for x months. Then, Then, ❨ 85000 x 12 = 3 ❩ 42500 x x 1 ⟹ x = ❨ 85000 x 12 ❩ = 8. 42500 x 3 So, B joined for 8 months.

Question 10

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

Accepted Answer

Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000. So, x + x + 5000 + x + 9000 = 50000 ⟹ 3x = 36000 ⟹ x = 12000 A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12. ∴ A's share = Rs. ❨ 35000 x 21 ❩ = Rs. 14,700. 50

Question 11

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

Accepted Answer

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively. Then, 14x : 8y : 7z = 5 : 7 : 8. Now, 14x = 5 ⟺ 98x = 40y ⟺ y = 49 x 8y 7 20 And, 14x = 5 ⟺ 112x = 35z ⟺ z = 112 x = 16 x. 7z 8 35 5 ∴ x : y : z = x : 49 x : 16 x = 20 : 49 : 64. 20 5

Question 12

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive …

Accepted Answer

For managing, A received = 5% of Rs. 7400 = Rs. 370. Balance = Rs. (7400 - 370) = Rs. 7030. Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3) = 39000 : 42000 : 30000 = 13 : 14 : 10 ∴ B's share = Rs. ❨ 7030 x 14 ❩ = Rs. 2660. 37

Question 13

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew ¼ of his capital and B withdrew 1⁄5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:

Accepted Answer

A : B = [ 4x x 3 + ❨ 4x - 1 x 4x ❩ x 7 ] : [ 5x x 3 + ❨ 5x - 1 x 5x ❩ x 7 ] 4 5 = (12x + 21x) : (15x + 28x) = 33x :43x = 33 : 43. ∴ A's share = Rs. ❨ 760 x 33 ❩ = Rs. 330. 76

Question 14

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?

Accepted Answer

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

Question 15

Pramod started a business with Rs. 40000. After 4 months Vikas also joined him with Rs. 60000. If at the end of the year, the profit is Rs. 16000, what is the share of Vikas in the profit?

Accepted Answer

Ratio between the investment of Pramod and Vikas = 40000 x 12 : 60000 x 8 = 480000 : 480000 = 1 : 1 Total profit = Rs. 16000 share of Vikas in profit = 16000/2 = Rs. 8,000

Question 16

A and B start a business with initial investment in the ratio 12 : 11 and their annual profits were in the ratio 4 : 1. If A invested the money for 11 months . B invested the money for?

Accepted Answer

Suppose B invested the money for N months. Then the ratio of investment = (12 x 11 : 11 x N) = 12 : N ∴ 12/N = 4/1 ⇒ N = 3 months.

Question 17

A and B started a joint firm. 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 got Rs. 4,000 as profit then their total profit is?

Accepted Answer

Suppose B invested Rs. x for y months. Then A's investment is Rs. 3x for 2y months. Ratio of investment of A and B = 6xy : xy = 6 : 1. Now B's share = Rs. 4,000 ∴ A's share = Rs. 24, 000 Hence, Total profit = Rs. 28,000

Question 18

Dilip, Ram and Amar started a shop by investing Rs. 27,000, Rs. 81,000 and Rs. 72,000 respectively. At the end of one year the profit was distributed. If Ram's share of profit be Rs. 36,000, then the total profit was?

Accepted Answer

Ratio of shares = 27000 : 81000 : 72000 = 3 : 9 : 8 If Ram's share is Rs. 9 then total profit = Rs. 20 If Ram's share is Rs. 36000 then total profit = Rs. (20/9) x 36000 = Rs. 80000

Question 19

Rs. 700 is dividing among A, B and C so that A receives half as much as B and B half as much as C. Then C's share is?

Accepted Answer

Let C's share = Rs. N Then B's share = Rs. N/2 and A's share = Rs. N/4 ∴ A : B : C = N/4 : N/2 : N = 1 : 2 : 4 Hence C's share = Rs. 700 x (4/7) = Rs. 400

Question 20

Jayant started a business, investing Rs. 6000. Six months later Madhu joined him, investing Rs. 4000. If they made a profit of Rs. 5200 at the end of the year. How much must be the share of Madhu?

Accepted Answer

Ratio of their shares = (6000 x 12) : (4000 x 6) = 3 : 1 ∴ Madhu's share = Rs.5200 x (1/4)

Partnership Questions