1. A starts a business with Rs.70,000. After 2 months, B joined him with Rs.90,000. C joined them after some more time with Rs.1,40,000. At the end of the year, out of a total profit of Rs.4,25,000, C gets Rs.1,30,000 as his share. How many months after B joined the business, did C join?
SHOW ANSWER
Correct Ans:4 (1/2) months
Explanation:
Given, A invested amount = Rs. 70,000 for 12 months
B invested amount = Rs. 90,000 for 10 months
and C invested amount = Rs. 1,40,000
Assume that C was there in the business for x months.
Ratio of investment of A, B, C is:
=> A : B : C = (70000 * 12) : (90000 * 10) : (140000 * x)
= (70 * 12) : (90 * 10) : (140 * x)
= (7 * 12) : (9 * 10) : (14 * x)
= (7 * 6) : (9 * 5) : (7 * x)
= 42 : 45 : 7x
Thus, share of A, B , C = 42 part, 45 part, 7x part respectively.
Given, Total profit = Rs. 4,25,000
Given C's share = Rs. 1,30,000
=> C's share = 425000 * [7x/(42 + 45 + 7x)] = 130000
=> 425 [ 7x / (87 + 7x)] = 130
=> 85 [ 7x / (87 + 7x)] = 26
=> 85 [ 7x] = 26 [ (87 + 7x)]
=> 595 x = 2262 + 182 x
=> 595 x - 182 x = 2262
=> 413 x = 2262
=> x = 5.48
=> x = 5.5 (approx)
It means C was there in the business for 5 and half months.
Given that B is in the business for 10 months.
Hence C joined after (10 - 5.5) months = 4.5 =4 and half monthsafter B joined.
2. 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 remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
SHOW ANSWER
Correct Ans:Rs. 59000
Explanation:
Given,
A invested amount = Rs. 50,000
Interest received by A from B = 10% of half of Rs.50,000
= 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 amount that A receives as his share.
So,total income of A = (Rs.2500 + Rs.18000 + Rs. P ) = (Rs. 20500 + Rs. P)
Total income of B = only his share from the remaining profit amount = 'P', (Given as A and B share the remaining profit amount equally.)
Given, income of A = Twice the income of B
So, (20,500 + P ) = 2(P)
=> P = 20,500
Thus, the Total profit = 2P + Rs.18000
= 2 * (20500) + 18000
= Rs. 59000
Therefore, Total Profit = Rs. 59000
3. Rahul and Rafick start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Rahul takes out Rs.1250 from his capital. After 1 more month, Rafick takes out Rs.750 of his capital while Ramesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit?
SHOW ANSWER
Correct Ans:Rahul - Rs. 800, Rafick - Rs. 900, Ramesh - Rs. 840
Explanation:
Given, total period of Business = 6 months.
Rahul's investment:
Given, Rahul 's Initial Investment = Rs 2500 for 2 months.
After 2 months he withdraw Rs.1250 from his capital = Rs (2500-1250) = Rs 1250 for next 4 months.
Rafick's Investment:
Rafick's Initial Investment = Rs 2250 for 3 months
After 3 months he withdraw Rs.750 from his capital = Rs.(2250-750) = Rs.1500 for next 3 months.
Ramesh's Investment:
Ramesh invested Rs.3500 for last 3 months.
Their investment ratio = Rahul: Rafick : Ramesh
= (2500x2 + 1250x4) : (2250x3 + 1500x3) : (3500x3)
= ( 5000 + 5000) : ( 6750 + 4500) : ( 10,500)
= (10,000) : (11,250) : (10,500)
= 1000 : 1125: 1050
= 40 : 45 : 42 = Profit ratio of Rahul: Rafick : Ramesh
Given, Total profit for 6 months = Rs.2540
Therefore, Rahul's share = Rs. [40/(40+45+42)] * 2540
= Rs.(40/127) * 2540
= 101600 / 127
= Rs 800
Rafick's share = Rs.(45/127) * 2540
= 114300 / 127
= Rs.900
Ramesh's share = Rs.(42/127) * 2540
= 106680 / 127
= Rs.840
Thus Profit for: Rahul - Rs. 800, Rafick - Rs. 900, Ramesh - Rs. 840
4. In a business, A invested 1/3rd of the total investment in 1/3rd of the period of investment, B invested 1/4th of the total investment in 1/4th of the period of investment and remaining was invested by C in the remaining period. Then the ratio's between their shares is:
SHOW ANSWER
Correct Ans:16:9:25
Explanation:
Formula used:- Ratio between A, B, C shares = [A's amount invested X A's period in business] : [B's amount invested X B's period in business] : [C's amount invested X C's period in business]
Given,
A's amount invested = (1/3)of the total invested amount
B'samount invested = (1/4)of the total invested amount
C's amount invested = Remaining of the total invested amount
= 1 - (A's amount invested +B'samount invested)
= 1 - (1/3 + 1/4)
= 1 - [(4+3)/12)]
= 1 - [7/12]
= 5/12
ThereforeC's amount invested =5/12of the total invested amount
Also Given that,
A'speriod of investment =(1/3)of the total investment period
B'speriod of investment =(1/4)of the total investment period
C'speriod of investment =Remaining of the totalinvestment period
= 1 - (A'speriod +B'speriod)
= 1 - (1/3 + 1/4)
= 1 - [(4+3)/12)]
= 1 - [7/12]
= 5/12
ThereforeC'speriod of investment =5/12of the totalinvestment period
Now,Ratio between A, B, C shares = [A's amount invested X A's period in business] : [B's amount invested X B's period in business] : [C's amount invested X C's period in business]
= [1/3 X 1/3] : [1/4 X 1/4] : [5/12 X 5/12]
= [1/9] : [1/16] : [25/144]
=[16/144] : [9/144] : [25/144]
= 16 : 9 : 25
5. In a business A invested 3 times that of B and the period of investment of A is 2 times that of B. Then their profit ratio is:
SHOW ANSWER
Correct Ans:6:1
Explanation:
share's ratio = A : B = 3 : 1
Time ratio = A : B = 2 : 1
Then, profit ratio = A : B = 3*2 : 1*1 = 6 : 1
6. A and B invested in a business in the ratio 2:3 and the ratio of their period of investment is 4:5. Then their profit ratio is:
SHOW ANSWER
Correct Ans:8:15
Explanation:
share's ratio = A : B = 2 : 3
Time ratio = A : B = 4 : 5
Then, profit ratio = A : B = 2*4 : 3*5 = 8 : 15
7. A,B invested Rs.20,000/- and Rs.25,000/- respectively in a business. The 20% of profits goes to charities. The rest being divided in proportion to their capitals out of a total profit of Rs.9000/-. The A's share is:
SHOW ANSWER
Correct Ans:Rs.3200/-
Explanation:
A = Rs.20,000/- & B = Rs.25,000/-
==> A : B = 20 : 25
==> 4 : 5
Total profit = Rs.9000/-
20 % of profit goes to charities ===> Rs.9000/- - Rs.1800/- = Rs.7200/-
remaining amount = Rs.7200/-
Total parts = 9
9 parts -----> Rs.7200/-
1 part ------> Rs.800/-
A's share ===> Rs.800/- * 4 parts = Rs.3200/
8. A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
SHOW ANSWER
Correct Ans:Rs.7500/
Explanation:
A : B : C = 20000 * 24 : 15000 * 24 : 20000 * 18 = 20 * 4 : 15 * 4 : 20 * 3
= 4 * 4 : 3 * 4 : 4 * 3
= 4:3:3
B's Share = 25000 * 3/10 = 7500/-
9. Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
SHOW ANSWER
Correct Ans:21 : 32
Explanation:
Here capital is not the same.
Suresh invest 20000 for initial 6 months and 15000 for the next 6 months.
Hence his term of ratio
=( 20000 × 6 + 15000 × 6)
Kiran invest Rs.30000 for 4 months and Rs.50000 for next 4 months.
Hence his term of ration
= (30000 × 4 : 50000 × 4)
Suresh : Kiran = ( 20000 × 6 + 15000 × 6) : (30000 × 4 : 50000 × 4)
= (20 × 6 + 15 × 6) : (30 × 4 + 50 × 4)
= (20 × 3 + 15 × 3) : (30 × 2 : 50 × 2)
= 105:160
= 21:32
10. A, B started a business by investing Rs.3000/- and Rs.5000/-. A is working and B is sleeping partner. A gets 10% of profits for managing, the rest being divided in proportion to their capitals out of a total profit of Rs.8,000/-. Then find the A's total.
SHOW ANSWER
Correct Ans:Rs.3500/-
Explanation:
Given, A's invested amount = Rs.3000/-
B's invested amount = Rs.5000/-
Then, A's share : B's share = 3 : 5
=>Total parts = 3 + 5 = 8
Given, Total profit = Rs.8000/-
From which A gets 10%
so, 10 % of 8000 = 800/-
A's Salary = Rs.800/-
Remaining profit amount = Rs.7200/-
Total parts = 8
8 parts -----> Rs.7200/-
1 part ------> Rs.900/-
A's share ===> Rs.900/- * 3 parts = Rs.2700/-
A's total = A's share + A's salary
= Rs.2700 + Rs.800
= Rs.3500/-
11. A,B started a business by investing Rs.4000/- and Rs.5000/-. A is working and B is sleeping partner. A gets 10% of profits for managing, the rest being divided in proportion to their capitals out of a total profit of Rs.9,000/-. The money received by B is:?
SHOW ANSWER
Correct Ans:Rs.4500/-
Explanation:
Given
A = Rs.4000/- B = Rs.5000/- Then, A : B = 4 : 5
Total profit = Rs.9000/-
10 % of 9000 = Rs.900/-
A's Salary = Rs.900/-
Remaining amount = Rs 8100/-
Total parts = 9 => 4 + 5
9 parts -----> Rs.8100/-
1 part ------> Rs.900/-
B's share = 5 parts
= 5 parts -----> 900 * 5
= Rs.4500/-
The money received by B is Rs 4500.
12. In a business, A,B invested Rs.8,000/-,Rs.4,000/- respectively. After 6 months A increases his share by 50% and B withdraws 1/5th of his capital. At the end of the year the total profit is Rs.11,600/-. Then what is A's share?
SHOW ANSWER
Correct Ans:Rs.8000/-
Explanation:
A's Share = Rs.8000/- per first 6 month + Next 6 months Rs.4000/- added
= 8 * 6 + 12 * 6 = 48 + 72 = 120
B's Share = Rs.5000/- per first 6 months + Next 6 months Rs.4000/- reduced
= 5 * 6 + 4 * 6 = 30 + 24 = 54
Then,A's part= 120 : B's part= 54
A : B = 20 : 9
Total = 29 parts -----> Rs.11600/-
= 1 part ------> Rs.400/-
Then, A's share is
= 10 parts = Rs.400/- * 20 parts = Rs.8000/-
13. In a business, A,B invested Rs.8,000/-,Rs.4,000/- respectively. After 6 months A increases his share by 50% and B decreases his share by 50%. At the end of the year the total profit is Rs.52,000/-. Then what is A’s share?
SHOW ANSWER
Correct Ans:Rs.4000/-
Explanation:
A's Share = Rs.8000/- per first 6 months + Next 6 months Rs.4000/- added = 80 * 6 + 120 * 6 = 480 + 720 = 1200 B's Share = Rs.4000/- per first 6 months + Next 6 months Rs.2000/- reduced = 40 * 6 + 20 * 6 = 240 + 120 = 360
Then,A's part= Rs.1200 : B's part= 360
A : B = 10 : 3 Total = 13 parts -----> Rs.5200/-
= 1 part ------> Rs.400/-
Then, A's share is
= 10 parts = 400/- * 10 parts = Rs.4000/-
14. In a business, A,B invested Rs.50,000/-,Rs.60,000/- respectively. After 4 months A adds Rs.25000/- to his initial investment and B withdrew Rs.20,000/- from his initial investment. At the end of the year the total amount of profit they received is Rs.2,89,000/-. Then what is A's share?
SHOW ANSWER
Correct Ans:Rs.170000/-
Explanation:
A's investment= Rs.50000/- per first 4 month + Next 8 months Rs.25000/- added
= 50,000 * 4 + 75,000 * 8
= 2,00,000 + 6,00,000
= 8,00,000
B's investment= Rs.60000/- per first 4 months + For Next 8 months Rs.20000/- reduced
= 60,000 * 4 + 40,000 * 8
= 2,40,000 + 3,20,000
= 5,60,000
Then, Ratio of share of A and B = 8,00,000 :5,60,000
= 80 : 56
= 10 :7
=> A : B = 10 : 7
=>Total = 17 parts
Given total profit = Rs.2,89,000
17 parts -----> Rs.2,89,000/-
=> 1 part ------> (Rs. 2,89,000 / 17) = Rs.17,000/-
Then, A's share = Rs.17000/- * 10 parts = Rs.1,70,000/-
15. Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
SHOW ANSWER
Correct Ans:72000
Explanation:
Ratio of the profits = 25000 * 12 : 60000*8
= 25 * 12 : 60 * 8 = 5 * 3 : 12:2 = 5 : 4 * 2
= 5:8
Let the total profit = x.
Then Kamal received 10x/100 = x/10 as commission for managing the business
Remaining profit = x- x/10 = 9x/10 which is shared in the ration 5:8
Kamal's share = x / 10 + (9x /10) (5/13) = 58000
=> x + 9x(5/13) = 580000
=> x(1 + 45/13) = 580000
=> x ( 58/13) = 580000
=> x ( 1/13) = 10000
=> x = 130000
Kiran's share = 130000 - 58000 = 72000.
16. A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
SHOW ANSWER
Correct Ans:8 months
Explanation:
Let B joins for x months.
Given, A's capital = Rs. 85,000 for 12 months
B's capital = Rs. 42,500 for x months
Given, Ratio of profit = 3 : 1
=> Ratio of investment =Ratio of profit
=> (85000 * 12) : (42500 * x) = 3 : 1
=>(850 * 12) : (425 * x) = 3 : 1
=> (2 * 12) : (x) = 3 : 1
=> 24 / x = 3/1
=> x = 24/3
=> x = 8
Therefore, No. of months "B" in the business = 8 months
17. A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
SHOW ANSWER
Correct Ans:1500
Explanation:
Assume that the total profit is x.
Since 5% goes for charity, 95% of x will be divided between A and B in the ratio 3: 2
Given, A's share is Rs. 855
=> A's profit = (95x/100) * (3/5) = 855
=> (95x/100) * (3/5) = 855
=> 19x * 3 = 855 *100
=> 57 x = 85500
=> x = 1500
Hence the total profit = Rs. 1500
18. A, B, C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent?
SHOW ANSWER
Correct Ans:45
Explanation:
Given
A : B: C = 10 oxen for 7 months: 12 for 5 months ,15 for 3 months
= 2 * 7 : 12 * 1 : 3 * 3 = 14 : 12 : 9
Amount that C should pay
= 175 * ( 9 / 35 ) = 5 * 9 = 45
Amount should C pay as his share of rent = Rs 45.
19. In a business, A,B invested Rs.10,000/-, Rs.20,000/- respectively. After 4 months A adds Rs.5000/- to his initial investment and B withdrew Rs.5000/- from his initial investment. At the end of the year total amount of profit they got is Rs.5400/-. What is A's share?
SHOW ANSWER
Correct Ans:Rs.2400/-
Explanation:
A's Share
= Rs.10000/- per first 4 months + Next 8 months Rs.5000 / added
= 10000 * 4 + 15000 * 8
= 40,000 + 120,000
= 1,60,000
B's Share
= Rs.20000/- per first 4 months + Next 8 months Rs.5000 / subtracted
= 20000 * 4 + 15000 * 8
= 2,00,000
Then,A's part : B's part
= 1,60,000 : 2,00 ,000
===> 4 : 5
Total 9 parts -----> Rs.5400/-
= 1 part ------> Rs.600/-
Then, A's share is
= 4 parts
= Rs.600/- * 4 parts
= Rs.2400/-
20. In a business, A,B and C inversed Rs.10,000/-, Rs.20,000/- and Rs.30,000/- respectively. After 1 year A adds Rs.5000/- to the initial investment. B and C withdrew Rs.5000/- and Rs.10,000/- respectively. After 2 years the total profit is Rs.7700/-. What is A's share?
SHOW ANSWER
Correct Ans:Rs.1750/-
Explanation:
A's Share = Rs.10000/- per first 1 year, Next year 5000/- added
= Rs.10000/- * 1 + Rs.15000/- * 1 = Rs.25000/-
B's Share = Rs.20000/- per first 1 year, Next year 5000/- reduced
= Rs.20000/- * 1 + Rs.15000/- * 1 = Rs.35000/-
C's Share = Rs.30000/- per first 1 year, Next year 10000/- reduced
= Rs.30000/- * 1 + Rs.20000/- * 1 = Rs.50000
Then,A's part = 25 : B's part = 35 : C's part = 50
===> 5 : 7 : 10
Total 22 parts -----> Rs.7700/-
2 parts ------> Rs.700/-
Then, A's share is
5 parts = Rs.350/- * 5 parts = Rs.1750/-
Are you seeking for good platform for practicing Partnership questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.
Online Test on Partnership @ Fresherslive
This page provides important questions on Partnership along with correct answers and clear explanation, which will be very useful for various Interviews, Competitive examinations and Entrance tests. Here, Most of the Partnership questions are framed with Latest concepts, so that you may get updated through these Partnership Online tests. Partnership Online Test questions are granted from basic level to complex level.
Why To Practice Partnership Test questions Online @ Fresherslive?
Partnership questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.
Practice in advance of similar questions on Partnership may improve your performance in the real Exams and Interview.
Time Management for answering the Partnership questions quickly is foremost important for success in Competitive Exams and Placement Interviews.
Through Fresherslive Partnership questions and answers, you can acquire all the essential idea to solve any difficult questions on Partnership in short time and also in short cut method.
Winners are those who can use the simplest method for solving a question. So that they have enough time for solving all the questions in examination, correctly without any tense. Fresherslive provides most simplest methods to answer any tough questions. Practise through Fresherslive test series to ensure success in all competitive exams, entrance exams and placement tests.
Why Fresherslive For Partnership Online Test Preparation?
Most of the job seekers finding it hard to clear Partnership test or get stuck on any particular question, our Partnership test sections will help you to success in Exams as well as Interviews. To acquire clear understanding of Partnership, exercise these advanced Partnership questions with answers.
You're Welcome to use the Fresherslive Online Test at any time you want. Start your beginning, of anything you want by using our sample Partnership Online Test and create yourself a successful one. Fresherslive provides you a new opportunity to improve yourself. Take it and make use of it to the fullest. GOODLUCK for Your Bright Future.