Question 1

A starts a business with ₹ 4000 and B joins him after 3 months with ₹ 16000. Find the ratio of their profit at the end of year.

Accepted Answer

A's share : B's share = Ratio of products of investment and time period of investment = (4000 x 12) : 16000 x (12 - 3) = 4 x 12 : 16 x 9 = 1 : 3 Note Here, the partnership is compound, in which A invested for 1 yr or 12 month and B invested 3 months later. it does mean B invested for (12 - 3) months.

Question 2

A start a business with ₹ 9000 and B joins him after 6 months with an investment of ₹ 45000. What will be the investment of ₹ 45000. What will be the ratio of the profits of A and B at the end of year?

Accepted Answer

A's share : B's share = 900 x 12 : 45000 x (12 - 6) = 12 : 5 x 6 = 2 : 5

Question 3

Avinash, Manoj and Arun started a business in partnership investing in the ratio of 3 : 2 : 5 respectively. At the end of the year, they earned a profit of ₹ 45000 which is 15% of their total investment. How much did Manoj invest?

Accepted Answer

Total investment = (100/15) x 45000 = ₹ 300000 ∵ Investment of Avinash : Investment of Manoj : investment of Arun = 3 : 2 : 5 ∴ Investment of Manoj = (2/10) x 300000 = ₹ 60000

Question 4

A, B, C entered into a partnership and their capitals are in the proportion of 1/3 : 1/4 : 1/5. A with draws half his capital at the end of 4 months. Out of a total annual profit of Rs. 847 A's share is?

Accepted Answer

Ratio of capital in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 : 12. Ratio of investment for the whole year = (20 x 4 + 10 x 8) : (15 x 12) : (12 x 12) = 40 : 45 : 36 ∴ A's share = Rs. (847 x 40)/121 = Rs. 280

Question 5

A, B and C entered into partnership. A invests some money at the beginning. B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 18,000, C's share is?

Accepted Answer

Suppose A invested Rs. N. Then A : B : C = 12N : 6 x (2N) : 4 x (3N) = 1 : 1 : 1 ∴ C's share = Rs. (18000) x 1/3 = Rs. 6000

Question 6

A, B and C invest Rs. 2,000, Rs. 3,000 and Rs. 4,000 in a business. After one year A removed his money but B and C continued for one more year. If the net profit after 2 years be Rs. 3,200 then A's share in the profit is?

Accepted Answer

A : B : C = 2000 x 12 : 3000 x 24 : 4000 x 24 = 1 : 3 : 4 A's share = Rs. 3200 x (1/8) = Rs. 400

Question 7

A and B enter into partnership investing Rs. 12,000 and Rs. 16,000 respectively. After 8 months C joins them with a capital of Rs. 15,000. The share of C in a profit of Rs. 45600 after 2 years will be?

Accepted Answer

Ratio of shares = 12000 x 24 : 16000 x 24 : 15000 x 16 = 6 : 8 : 5 ∴ C's share = Rs. 45600 x (5/19) = Rs. 12000

Question 8

Monaj got Rs.6000 as his share out of a total profit of Rs. 9,000 which he and Ramesh earned at the end of one year. If Monoj invested Rs. 20,000 for 6 months. Whereas Ramesh invested his amount for the whole year, what was the amount invested by Ra…

Accepted Answer

Let the amount invested by Ramesh = Rs. N Then, 20000 x 6 : 12N = 6000 : 3000 ⇒ 120000/12N = 2/1 ∴ N = 5000

Question 9

A, B and C subscribed Rs. 47,000 for a business. A subscribe Rs. 7000 more than B and B Rs. 5,000 more than C. Out of a total profit of Rs. 9,400, B receives?

Accepted Answer

Suppose C invests Rs. N Then B's investment = Rs. (N + 5000) and A's investment = Rs. (N + 12000) ∵ N + (N + 5000) + (N + 12000) = 47000 ⇒ N = 10000 Thus A : B : C = 22000 : 15000 : 10000 = 22 : 15 : 10 ∴ B's share = Rs. (9400 x 15)/47 = Rs. 3000

Question 10

If 6 (A's capital ) = 8 (B's capital) = 10 (C's capital) then the ratio of their capitals is?

Accepted Answer

Let 6 (A's capital) = 8 (B's capital) = 10 (C's capital) = k Then A's capital = k/6 B's capital = k/8 and C's capital = k/10 ∴ Ratio of capitals of A, B, and C = (k/ 6) : (k/8) : (k/10) = 20 : 15 : 12.

Question 11

A, B and C enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is?

Accepted Answer

Given Ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36 Let them initially invest Rs. 105, Rs. 40 and Rs. 36 respectively. Ratio investment = [105 x 4 + (150% of 105) x 8] : (40 x 12) : (36 x 12) =1680 : 480 : 432 = 35 : 10 : 9 ∴ B's share = Rs. 21600 x (10/54) = Rs. 4000

Question 12

Four person decided to start a restaurant by sharing equal amount of the total investment. After some calculations they found that if they get two more equal investors, each of the four will have to pay Rs. 12000 less. What was the total investment?

Accepted Answer

Let investment of each person be Rs. N Total investment of 4 people = 4 x N = Rs. 4N Investment of each person when two more people join them = Rs. (N - 12000) ∴ Total investment of 6 people = 6(N - 12000) ∵ 4N = 6(N - 12000) ⇒ 4N = 6N - 72000 ⇒ 2N = 72000 ∴ N = 36000 Hence total investment = 4 x 36000 = Rs. 144000

Question 13

A started a business by investing Rs. 8000. 3 months later B joined him with Rs. 5000. If at the end of a year total profit earned was Rs. 2350. How much is the share of A more than the share of B?

Accepted Answer

Ratio between the investment of A and B = (8000 x 12) : (5000 x 9) = 96000 : 45000 = 32 : 15 Total profit = Rs. 2350 ∵ A's share = [32/(32 + 15)] x 2350 = Rs. 1600 ∴ B's share = 2350 - 1600 = Rs. 750 ∴ Required difference = 1600 - 750 = Rs. 850

Question 14

Four milkmen rented a pasture A grazed 18 cows for 4 months, B, 25 cows for 5 months and D, 21 cows for 3 months. If A's share of rent is Rs. 360, the total rent of the field is?

Accepted Answer

Ratio of rent = (18 x 4) : (25 x 2) : (28 x 5) : (21 x 3) = 72 : 50 : 140 : 63 Let the total rent = Rs. N Then A's share = Rs. (N x 72)/325 = Rs. 72N / 325 ∵ 72N / 325 = 360 ∴ N = (325 x 360)/72 = Rs. 1625

Question 15

A, B and C entered into a partnership by making investment in the ratio 3 : 5 : 7. After a year C invests another Rs. 337600 while A withdraws Rs. 45600. The ratio of investments then changes to 14 : 29 : 167. How much did A invest initially?

Accepted Answer

Let the initial investment of A, B, C be Rs. 3k, Rs. 5k and Rs. 7k respectivily. Then, (3k - 45600) : 5k : (7k + 337600) = 14 : 59 : 167 ⇒ (3k - 45600) / 5k = 14 / 29 ⇒ k = 77788.24 ∴ A investment initially Rs. (77788.24 x 3) = Rs. 233364.71

Question 16

Srikant and Vividh started a bussiness investing amounts of ₹ 185000 and ₹ 225000, respectively, If Vividh's share in the profit earned by them is ₹ 9000, what is the total profit earned by them together?

Accepted Answer

As we know, Ratio of profits = Ratio of investments ∴ Srikant's share : Vividh's share = 185000 : 225000 = 37 : 45 Let Srikant's share = 37N Vividh share = 45N According to the question, 45N = 9000 ∴ N = 9000/45 = 200 ∴ Total profit = 37N + 45N = 82N = 82 x 200 = ₹ 16400

Question 17

Ajay started a business investing ₹ 25000. After 3 months, Vijay joined him with a capital of ₹ 30000. At the end of the year, they made a profit of ₹ 38000. What will be the Ajay's share in the profit?

Accepted Answer

Ajay's share : Vijay's share = 25000 x 12 : 30000 x (12 - 3) = 25 x 12 : 30 x 9 = 10 : 9 Ajay's share = 10/(10 + 9) x 38000 = 10/19 x 38000 = 10 x 2000 = ₹ 20000

Question 18

A and B invest in the ratio of 3 : 5, respectively. After 6 months, C enters the business with the investment of the capital equal to that of B. What will be the ratio of the profits of A, B and C at the end of year?

Accepted Answer

Let investment of A = 3N ∴ Investment of B = 5N Investment of C = 5N As we know, Ratio of profits = Ratio of investments ∴ A's share : B's share : C's share = 3N x 12 : 5N x 12 : 5N x (12 - 6) = 3N x 12 : 5N x 12 : 5N x 6 = 6 : 10 : 5

Question 19

P, Q and R are three partners in a business. If P's capital is equal to twice the capital of Q and Q's capital is three times the capital of R, find the ratio of the capital of P,Q and R.

Accepted Answer

Let the capital of R = N Then, capital of Q = 3N, and capital of P = 6N ∴ P's capital : Q's capital : R's capital = 6N : 3N : N = 6 : 3 : 1

Question 20

Ramesh and Priya started a business initially with ₹ 5100 and ₹ 6600, respectively. Investments done by both the persons are for different time periods. If the total profit is ₹ 5460, what is the profit of Ramesh?

Accepted Answer

Time is not given in the question. So, we cannot find the profit of Ramesh. Hence, the data is inadequate.

Partnership Questions