Question 1

Karim invests Rs. 30000 for one year in a shop. How much his partner Raunaq should invest in order that the profit after one year must be in the ratio 2 : 3?

Accepted Answer

∵ 30000/N = 2/3 ⇒ 2N = 90000 ∴ N = 45000

Question 2

A, B and C are three partners in a business. If twice the investment of A is equal to thrice the capital of B and the capital of B is four times the capital of C. Out of a total profit of Rs. 5,940 the share of C is?

Accepted Answer

Let C's capital = Rs.N Then B's capital = Rs. 4N ∵ 2(A's capital) = 3 (B's capital) = 12N ⇒ A's capital = 6N ⇒ A : B : C = 6N : 4N : N = 6 : 4 : 1 ∴ C's share = Rs. 5940 x (1/11) = Rs. 540

Question 3

A's capital is equal to twice B's capital and B's capital is three times C's capital. The ratio of the capital is?

Accepted Answer

Let C's capital = Rs. x Then B's capital = Rs. 3x and A's capital = Rs. 6x ∴ Ratio of capital of A, B, and C = 6x : 3x : x = 6 : 3 : 1

Question 4

Three partners A, B and C invest Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. Out of a profit of Rs. 3500. B's share is?

Accepted Answer

Ratio of shares of A, B, C = 26000 : 34000 : 10000 = 13 : 17 : 5 ∴ B's share = Rs. 3500 x (17/35) = Rs. 1700

Question 5

A, B and C contract a work for Rs. 550. Together A and B are supposed to do 7/11 of the work. The share of C should be?

Accepted Answer

C's share = Rs. 550 x (4/11) = Rs. 200

Question 6

Subodh started a business, investing Rs. 45000. After 4 months. Nepal joined him investing Rs. 30000. If the total profit earned by them at the end of the year was Rs. 13,000 what would be the difference between the shares of Subodh and Nepal?

Accepted Answer

Ratio between the investment of Subodh and Nepal = (45000 x 12) : (30000 x 8) = 540000 : 240000 = 9 : 4 Total profit = Rs. 13000 ∴ Subodh's share = 9/(9 + 4) x 13000 = Rs. 9000 ∴ Nepal's share = 13000 - 9000 = Rs. 4000 ∴ Required difference = 9000 - 4000 = Rs. 5000

Question 7

Rakesh started a business by investing Rs. 70000. 8 months later Vinod also joined him with Rs. 180000. Total profit, in what ratio should be divided between them?

Accepted Answer

Ratio between the investment of Rakesh and Vinod = (70000 x 12) : (180000 x 4) = 840000 : 720000 = 7 : 6 Hence, profit sharing ratio = 7 : 6.

Question 8

A, B and C can do a work in 20, 25 and 30 days respectively. They undertook to finish the work together for Rs. 2220, then the share of A exceeds that of B by?

Accepted Answer

Ratio of share = Ratio of 1 day's work = 1/20 : 1/25 : 1/30 = 15 : 12 : 10 ∴ A's share = Rs. 2220 x (15/37) = Rs. 900 B's share = Rs. 2220 x (12/37) = Rs. 720 ∴ A's share exceeds B's share = Rs. 180

Question 9

Alok started a business with Rs. 75000. After 3 months Chandan also joined him with Rs. 60000. If at the end of the year, the profit is Rs. 16000. What is the share of Chandan in the profit?

Accepted Answer

Ratio between the investment of Alok and Chandan = (75000 x 12) : (60000 x 9) = 900000 : 540000 = 90 : 54 = 5 : 3 Total profit = Rs. 16000 ∴ Chandan's share = [3/(5 + 3)] x 16000 = Rs. 6000

Question 10

Gopal started a business with Rs. 3000. After 6 months Dinesh also joined him with Rs. 2000. If at the end of the year the profit is Rs. 2600. What is the share of Dinesh in the profit?

Accepted Answer

Ratio between the investment of Gopal and Dinesh = (3000 x 12) : (2000 x 6) = 36000 : 12000 = 3 : 1 Dinesh's share = [1/(3 +1)] x 2600 = Rs. 650

Question 11

A, B and C start a business. A invests 3 times as much as B invests and B invests two-third of what C invests. Then, the ratio of capitals of A, B and C is?

Accepted Answer

Suppose C invests Rs. x then, B invests Rs. 2x/3 and A invests Rs. 2x ∴ Ratio of investment of A, B, C = 2x : (2x/3) : x = 6 : 2 : 3

Question 12

A sum of money is to be divided among A, B and C in the ratio 2 : 3 : 7. If the total share of A and B together is Rs. 1500 less than C. What is A's share in it?

Accepted Answer

∵ 7x - (2x + 3x) = Rs. 1500 &rArr x = Rs. 750 ∴ Share of A = 2x = Rs. 1500

Question 13

Three Hikers A, B and C start on a trip with Rs. 50 each and agree to share the expenses equally. If at the end of the trip. A has Rs. 20 left with him, B Rs.30 and C Rs. 40 how must they settle their accounts?

Accepted Answer

All should have equal amount of money at the end of trip. So C must pay Rs. 10 to A

Question 14

Ravi and Kavi start a business by investing ₹ 8000 and ₹ 72000, respectively. Find the ratio of their profits at the end of year.

Accepted Answer

Ratio of profit = Ratio of investments = 8000 : 72000 = 1 : 9

Question 15

P starts a business with ₹ 300000 and Q join him after 3 months with ₹ 1200000. Find the ratio of their profits at the end of the year .

Accepted Answer

P's share : Q's share = (300000 x 12) : (1200000 x 9) = 36 : 108 = 1 : 3

Question 16

Ram, Shyam and Kamal together start a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be ₹ 21000, what will be Kamal's share in this profit?

Accepted Answer

Given ratio of profits of Ram, Shyam and Kamal = Ratio of their capitals = 3 : 4 : 7 Kamal's share = [7/(3 + 4 + 7)] x 21000 = 7 x 1500 = ₹ 10500

Question 17

Rakesh, Dinesh and Mahesh start a business by investing ₹ 5000 , ₹ 8000 and ₹ 12000 , respectively . At the end of year, they got the profit of ₹ 12500. What is the share of Dinesh in profit?

Accepted Answer

Share of Rakesh : Share of Dinesh : Share of Mahesh = 5000 : 8000 : 12000 = 5 : 8 : 12 Total earned profit = ₹ 12500 ∴ Share of Dinesh in profit = [8/(5 + 8 + 12)] x 12500 = (8/25) x 12500 = 8 x 500 = ₹ 4000

Question 18

Reena, Reema and Meera take a car on rent and they use that car for 14 h, 16 h and 22 h, respectively. What amount will be paid by Meera, if total rent of the car is ₹ 2080?

Accepted Answer

Reena's share : Reema's share : Meera's share Ratio of time period for which the car was used = 14 : 16 : 22 = 7 : 8 : 11 Amount paid by Meera = [11/ (7+8+11)] x 2080 = (11/26) x 2080 = 11 x 80 = ₹ 880

Question 19

Pinku, Rinku and Tinku divide an amount of ₹ 4200 amongst themselves in the ratio of 7 : 8 : 6, respectively. If an amount of ₹ 200 is added to each of their shares, what will be the new respective ratio of their shares of amount?

Accepted Answer

Let pinku's share = 7N Rinku's share = 8N Tinku's share = 6N According to the question, 7N + 8N + 6N = 4200 ⇒ 21N = 4200 ∴ N = 4200/21 = 200 Hence. amount of Pinku = 7N = 7 x 200 = ₹ 1400 Amount of Rinku = 8N = 8 x 200 = ₹ 1600 Amount of Tinku = 6N = 6 x 200 = ₹ 1200 Now. ₹ 200 is added to each share Then, New ratio of shares = (1400 + 200) : (1600 + 200) : (1200 + 200) = 1600 : 1800 : 1400 = 16 : 18 : 14 = 8 : 9 : 7

Question 20

P, Q and R start a business. P invests 3 times as much as Q invests and Q invests 2/3rd as much as R invests. Find the ratio of capitals of P, Q and R?

Accepted Answer

Let investment of R = N Then, investment of Q = 2N/3 and investment of P = 2N ∴ Ratio of capitals of P, Q and R = 2N : (2N/3) : N = 6N : 2N : 3N = 6 : 2 : 3

Partnership Questions