Partnership Questions and Shortcut Tricks
Partnership Questions from Previous Year Exam
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Partnership QUESTIONS..
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Question 1 of 40
1. Question
1 pointsA, 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:
Correct
Incorrect
Let C =Â x.
Then, B =Â xÂ + 5000 and A =Â xÂ + 5000 + 4000 =Â xÂ + 9000.
So,Â xÂ +Â xÂ + 5000 +Â xÂ + 9000 = 50000
3xÂ = 36000
xÂ = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
A's share = Rs.

Question 2 of 40
2. Question
1 pointsA 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
Correct
Incorrect
Let B's capital be Rs.Â x.
14xÂ = 126000
xÂ = 9000.

Question 3 of 40
3. Question
1 pointsThree 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?
Correct
Incorrect
Let their investments be Rs.Â xÂ for 14 months, Rs.Â yÂ for 8 months and Rs.Â zÂ for 7 months respectively.
Then, 14xÂ : 8yÂ : 7zÂ = 5 : 7 : 8.
xÂ :Â yÂ :Â zÂ =Â

Question 4 of 40
4. Question
1 pointsJayant opened a shop investing Rs. 30000. Madhu joined him 2 months later, investing Rs. 45000. They earned a profit of Rs. 54000 after completion of one year. What will be Madhus share of profit ?
Correct
Incorrect
Jayant : Madhu = 30000Ã—12 : 45000Ã—10 = 4 : 5.
Madhus share = Rs. 54000Ã—(5/9) = Rs. 30000. 
Question 5 of 40
5. Question
1 pointsIf 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive:
Correct
Incorrect
Let 4A= 6B= 10C= K
Then,
Hence C's share=

Question 6 of 40
6. Question
1 pointsNirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapilâ€™s share init?
Correct
Incorrect
Nirmal : Kapil = 9000Ã—12 : 12000Ã—6 + 6000 Ã—Â 6 = 1 : 1.
Kapils share = Rs. [4600 Ã—(1/2)) = Rs. 2300. 
Question 7 of 40
7. Question
1 pointsA,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500
Correct
Incorrect
A:B:C = 35000:45000:55000 = 7:9:11
A's share = (7/27) Ã—40500 = Rs 10500
B's share = (9/27) Ã—40500 = Rs 13500
C's share = (11/27)Ã—40500 = Rs 16500[In options we can see that only salary of C is different in all options. So we cn just calculate the C share to solve question quickly]

Question 8 of 40
8. Question
1 pointsA and B entered into a partnership investing Rs. 16000 and Rs. 12000 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. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by:
Correct
Incorrect
A:B: C = 16000Ã—3 + 11000Ã—9:12000Ã—3 + 17000Ã—9:21000Ã—6 = 147:189:126 = 7:9:6
Difference of B and Câ€™s shares = Rs. [26400 Ã—(9/22) â€” 26400 Ã—(6/22)) = Rs. 3600.

Question 9 of 40
9. Question
1 pointsA and B start a business jointly A invests Rs. 16,000 for 8 months and B remains in theÂ business for 4 months. Out of total profit, BÂ claims 2/7Â How much money was contributed by B?
Correct
Incorrect
B' capital= 12,800

Question 10 of 40
10. Question
1 pointsRs. 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
Correct
Incorrect
Let C = x.
Then B = x/2
and A = x/4A:B:C = 1:2:4.
C's share Rs.[(4/7)Ã—700) = 400 
Question 11 of 40
11. Question
1 pointsManoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
Correct
Incorrect
Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 Ã—Â 6 : x Ã—12.
120000/12x : 6000/3000 or x = 120000/24 = 5000. 
Question 12 of 40
12. Question
1 pointsA, 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 ofÂ years?
Correct
Incorrect
A : B : C = (40000 Ã—Â 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)
= Â 144 : 192 : 336 = 3 : 4 : 7

Question 13 of 40
13. Question
1 pointsA and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them 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 amount A, B and C
Correct
Incorrect
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A:B:C =(3xÃ—12):(5xÃ—12):(5xÃ—6)
= 36 :60 :30
= 6 :10 :5

Question 14 of 40
14. Question
1 pointsYogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Awl joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
Correct
Incorrect
Yogesh : Pranab : Atul = 45000 Ã—12 : 60000Ã—9 : 90000 Ã—Â 3 = 2 : 2 : 1
Atuls share = Rs. 20000 Ã—(1/5) = Rs. 4000. 
Question 15 of 40
15. Question
1 pointsA 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?
Correct
Incorrect
Suppose B joined forÂ xÂ months. Then,

Question 16 of 40
16. Question
1 pointsA and B started a business jointly. Aâ€™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 theirtotal profit is:
Correct
Incorrect
Suppose B invested Rs. x for y months.
Then A invested Rs. 3x for 2y months.
A:B = 3xÂ Ã—Â 2y : xÂ Ã—Â y = 6:1
Bs profit: Total profit = 1: 7.
(1/7) = 4000/z or z = 28000
Hence, total profit Rs. 28000.

Question 17 of 40
17. Question
1 pointsRs. 700 is divided among A, B, C so that A receives half as mh as B and B half as much as C. Then Câ€™s share is
Correct
Incorrect
Let C = x.Then B = x/2 and A = x/4
A:B:C = 1:2:4.
Câ€™s share Rs.[700Ã—(4/7)) = 400.

Question 18 of 40
18. Question
1 pointsA man 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?
Correct
Incorrect
Aman : Rakhi : Sagar = (70000Ã— 36) : (105000 Ã—Â 30) : (140000Ã—24) = 12 : 15 : 16.

Question 19 of 40
19. Question
1 pointsA, B andC enter into a partnership. A initially invests Rs. 25 Iakhs and Ã¡dds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs aiid withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
Correct
Incorrect
Ratio of their shares = (25 lakhs Ã—1) + ( 35 lakhsÃ— 2) : (35 lakhsÃ—2 + 25 lakhs Ã—1) : (30 lakhs Ã—Â 3)
= 95 lakhs : 95 lakhs : 90lakhs = 19 : 19 : 18.

Question 20 of 40
20. Question
1 pointsA started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
Correct
Incorrect
Suppose B joined after x monthsÂ then,
21000Â Ã—Â 12=36000Â Ã—Â (12x)
=> 36x = 180
=> x = 5

Question 21 of 40
21. Question
1 pointsAlok started a business investing Rs. 90000. After 3 months Shabir joined him with a capital of Rs. 120000. If at the end of 2 years, the total profit made by them was Rs. 96000, what will be the differencebetween their shares?
Correct
Incorrect
Alok: Shabir = 90000 x 24: 120000 x 21 = 6 : 7. Difference of their shares
= Rs. [96000Ã— (7/13)  96000Ã—(6/13)] = Rs. (96000/13) = Rs.7384.62.

Question 22 of 40
22. Question
1 pointsIn 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?
Correct
Incorrect
A:B = 3:2 = 6:4
=> A:C = 2:1 = 6:3
=> A:B:C = 6:4:3
B share = (4/13) Ã—157300= 48400

Question 23 of 40
23. Question
1 pointsA, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
Correct
Incorrect
A: B :C = (8000Ã— 6):(4000Ã—8):(8000Ã—8)
= 48 : 32 :64
= 3 : 2 : 4
So B share =(2/9)Ã— 4005 = Rs 890

Question 24 of 40
24. Question
1 pointsMohinder and Surinder entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months, Sudhir joined them with an investment of Rs. 15000, What is the share of Sudhir in a half yearly profit of Rs. 9500?
Correct
Incorrect
Mohinder : Surinder : Sudhir = 12000Ã—6 : 9000Ã—6 : 15000Ã—3 = 8: 6: 5
sudhirs share =Rs. (9500Ã—(5/19)) = 2500

Question 25 of 40
25. Question
1 pointsAnand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively.Â Out of a total profit of Rs. 13,800 Â Deepakâ€™s share is:
Correct
Incorrect
Ratio of their shares= 22500: 35000=9:14
Deepak share=

Question 26 of 40
26. Question
1 pointsNirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapilâ€™s share initially ?
Correct
Incorrect
Nirmal:Kapil =9000Ã—12:(12000Ã—6+6000Ã—6) = 1 : 1$$
Kapils share = Rs. [4600Ã—(1/2)) =Rs. 2300

Question 27 of 40
27. Question
1 pointsManoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
Correct
Incorrect
Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 Ã—6 : x Ã—12.
120000/12x : 6000/3000
=> x = 120000/24 = 5000

Question 28 of 40
28. Question
1 pointsA and B started a business jointly. Aâ€™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:
Correct
Incorrect
Suppose B invest Rs x for y month. the, A invest Rs 3x for 2y months.
So, A:B
B's total : Â Total profit= 1: 7
let theÂ profit be Rs x.= 1/7=4000/x=28000

Question 29 of 40
29. Question
1 pointsYogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
Correct
Incorrect
Just take care of the months of investment, rest all will be simple.
Yogesh : Pranab : Atul = 45000Ã—12:60000Ã—9:90000Ã—3
= 2:2:1
Atul's share = Rs. 20000 Ã—(1/5) = Rs. 4000

Question 30 of 40
30. Question
1 pointsIn 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 157300 was their profit, how much amount did B receive.
Correct
Incorrect
A:B = 3:2 = 6:4
=> A:C = 2:1 = 6:3
=> A:B:C = 6:4:3
B share = (4/13)Ã—157300Â = 48400

Question 31 of 40
31. Question
1 pointsA, B and C enter 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. 27,000, Câ€™s share is :
Correct
Incorrect
Let A's investment be x.
Then, the ratio of capital=

Question 32 of 40
32. Question
1 pointsA, B and C started a shop by investing Rs. 27,000, Rs. 72,000 and Rs. 81,000 respectively. At the end of the year, the profits were distributed among them. If Câ€™s share of profit be Rs. 36,000, then the total profit was :
Correct
Incorrect
A : B : C = 27000 : 72000 : 81000 = 3 : 8 : 9. So, C's share : Total Profit = 9 : 20.
Let the total profit be Rs. x. Then,

Question 33 of 40
33. Question
1 pointsKamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of sameer in the profit?
Correct
Incorrect
Kamal : Sameer = (9000 x 12) : (8000 x 7) = 108 : 56 = 27 : 14
Sameer's share = Rs.

Question 34 of 40
34. Question
1 pointsA and B started a partnership business investing some amount in the ratio of Â 3 : 5. C joined them 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 ?
Correct
Incorrect
Let the initial investments of A and B be 3x and 5x.
A : B : C = (3xÂ Ã— 12) : (5xÂ Ã— 12) : (5xÂ Ã—6) = 36 : 60 : 30 = 6 : 10 : 5.

Question 35 of 40
35. Question
1 pointsRahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.
Correct
Incorrect
Let the total profit be Rs. Z
Bharti's share = (2/3)Z
Rahul's Share = Z  (2/3)Z = Z/3
Rahul:Bharti = Z/3 : (2/3)Z = 1:2
Now let the total capital be Rs X, and Bharti capital was used for Y months
then, Rahul capital will be (1/4)X and Bharti capital wil be X(1/4)X = 3X/4
So Bharti's money was used for 10 months

Question 36 of 40
36. Question
1 pointsA and B entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdraw 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:
Correct
Incorrect
A : B : C = 16000Ã—3 + 11000Ã—9 : 12000Ã—3 + 17000Ã—9 : 21000Ã—6
= 147 : 189 : 126 = 7 : 9 : 6
Difference of B and Câ€™s shares =
Rs. [26400Ã—(9/22)  26400Ã—(6/22)]= Rs. 3600

Question 37 of 40
37. Question
1 pointsSumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
Correct
Incorrect
Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.
P:Q = 85000:15000 = 17:3
Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.

Question 38 of 40
38. Question
1 pointsX 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 :
Correct
Incorrect
For X,
For Y,

Question 39 of 40
39. Question
1 pointsThree partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
Correct
Incorrect
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/8x = 5/7
=> y = (49/20)x14x/7z = 5/8
=> z = (16/5)x
=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64 
Question 40 of 40
40. Question
1 pointsAnand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit ofÂ Rs. 13,800. Deepak's share is
Correct
Incorrect
Ratio of their shares = 22500 : 35000
=9 : 14Deepak's share = Rs.(13800Ã—14/23)
= Rs. 8400
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