Question 1

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 = (95*3/5) = Rs. 57. If A's share is Rs. 57, total profit = Rs. 100. If A's share is Rs. 855, total profit = (100/57*855) = 1500.

Question 2

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 :

Accepted Answer

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 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 ?

Accepted Answer

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.

Question 4

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 ?

Accepted Answer

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 5

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 ?

Accepted Answer

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 6

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

Accepted Answer

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 7

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 = (10×7):(12×5):(15×3) = 70 :60 :45 = 14 :12 :9 C's rent = Rs.(175×9/35) =Rs. 45.

Question 8

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 :

Accepted Answer

Ratio of their shares = 22500 : 35000 = 9 : 14. Deepak's share = Rs. (13800 * 14/23) = Rs. 8400.

Question 9

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 …

Accepted Answer

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 10

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 :

Accepted Answer

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 11

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 :

Accepted Answer

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 12

A and B start a business jointly. A invests Rs. 16,000 for 8 months and B remains in the business for 4 months, Out of total profit, B claims - of the profit. How much money was contributed by B ?

Accepted Answer

Let the total profit be Rs. x. Then, B = 2x/7 and A = (x - 2x /7) = 5x / 7. So, A : B = 5x/7 : 2x/7 = 5 : 2. Let B s capital be Rs. y. Then, (16000 * 8) / ( y * 4) = 5/2 <=> (16000 * 8 * 2) / (5 * 4) = 12800..

Question 13

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 wi…

Accepted Answer

Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12) = 1260000 : 840000 : 420000 = 3 : 2 : 1. Rajeev's Share =Rs.(150000×2/6) =Rs.50000.

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 * 36) : (80000 * 30) = 3 : 4. Simran's share = Rs. ( 24500 * 3/7) = Rs. 10500.

Question 15

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 ?

Accepted Answer

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.

Question 16

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 b…

Accepted Answer

A : B : C = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12) = 144 : 192 : 336 = 3 : 4 : 7.

Question 17

Rajeev start a business with Rs. 10000, Deepu joins him after 2 month with 20% more investment than Rajeev, after 2 month Shakti joins him with 40% less than Deepu. If the profit earned by them at the end of the year is equal to the twice of the dif…

Accepted Answer

Here from the given information, The ratio of investments of Rajeev, Deepu & Shakti is R : D : S = (10000 × 12) : (12000 × 10) : (7200 × 8) = 25 : 25 : 12 Now the Profit = 2 × (72000-10000) = 124000 Share of Rajeev = 124000 x 25/62 = 48000 Profit of Rajeev = 48000 - 10000 = 38000

Question 18

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 A…

Accepted Answer

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

Question 19

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 :

Accepted Answer

Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3. Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.

Question 20

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 :

Accepted Answer

Suppose Y invested Rs. y. Then 40000/y = 2/3 or y = 60000 .

Partnership Questions