# Partnership Questions and Answers updated daily – Aptitude

Partnership Questions: Solved 224 Partnership Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Partnership Questions

81. A,B started a business by investing Rs.10000/- and Rs.20000/- respectively. After 1year B withdrew Rs.5000/- and A invested Rs.5000/- more. At the end of 2 years they got total Profit Rs.6000/-. What is A's share?

Correct Ans:Rs.2500/-
Explanation:
A's Share = Rs.10000/- per first 1 year, Next year Rs.5000/- added
= Rs.10000/- * 1 + Rs.15000 * 1
= 25000

B's Share = Rs.20000/- per first 1 year, Next year Rs.5000/- reduced
= Rs.20000/- * 1 + Rs.15000/- * 1
= Rs.35000/-

Then, A's part : B's part= 25 :35

Total --> 60 parts -----> Rs.6000/-
1 part ------> Rs.100/-

Then, A's share = 25 parts = Rs.100/- * 25 parts = Rs.2500/-
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82. A began a business with Rs.5000/- and was joined afterwards by B with Rs.4000/-. If the profits at the end of the year were divided in the ratio 3:1, B joined the business after:?

Correct Ans:7 Months
Explanation:
1) Share's ratio is always equal to profit ratio
2) When two ratios are equal, then the cross products of the ratios are equal.
That is, for the proportion, a:b = c:d , a x d = b x c
A = 5000/- per 12 Months B = 4000/- per x Months 4000 * 12 : 5000 * 8 = 3 : 1
=> 6 : 5 = 3 : 1
=> 3x = 15
=> x = 5 Months
Then, B joined the business after = 12 - x ==> 12 - 5 ==> after 7 Months.
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83. A began a business with Rs,5000/- and was joined afterwards by B with Rs.4000/-. If the profits at the end of the year were divided in the ratio 3:1, How many months B was in the business?

Correct Ans:5 Months
Explanation:
Let the number of months B in the business = x

Given, A's investment = Rs. 5000 for 12 months
B's investment = Rs. 4000 for x months

Given Profit ratio = 3 : 1
=> Ratio of Profit = Ratio of investment
=> 3 : 1 = (5000 * 12) : (4000 * x)
=> 3 : 1 = 15 : x
=> 3/1 = 15 / x
=> x = 15 / 3
=> x = 5
Thus,number of months B in the business = 5 months
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84. A starts a business with Rs. 3500. After 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. B's contribution in the capital is:

Correct Ans:9000
Explanation:
Given Profit is for one year = 12 months, so the peroid of given business = 12 months.
Given, A investment = Rs. 3500 for 12 months

Given, B joined the business after 5 months, which means he is in the business for (12 - 5) = 7 months.
LetB's contribution in the capital= Rs. "x"

Given Profit Ratio = 2 : 3
A and B's Ratio of (Amount invested * No. of months in business) = A, B's Ratio of profit
=> (3500 * 12) : (x * 7) = 2 : 3
=> (500 * 12) / x = 2 / 3
=> x = (500 * 12) * 3/2
=> x = 500 * 6 * 3
=> x = 9,000

Therefore,B's contribution in the capital= Rs. "x" = Rs. 9,000
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85. A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.

Correct Ans:6:10:05
Explanation:
Initial investment capital ratio of A and B = 3 : 5
Hence we can assume that initial capital of A and B are 3x and 5x respectively.
Amount that C invest after 6 months = 5x (Since it is equal to B's investment)
Ratio in which profit should be distributed after 1 year = 3x * 12 : 5x * 12 : 5x * 6
=> 3 * 12 : 5 * 12 : 5 * 6
= 6 : 10 : 5
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86. A , B , C started a partnership business by investing Rs 27000 , 72000 , 81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?

Correct Ans:80000
Explanation:
A:B:C = 27000:72000:81000
= 3:8:9
Let the total profit= p
Then p * 9/20 = 36000
=> p = 36000 * 20/9 = 80000
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87. P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is

Correct Ans:60000
Explanation:
Let the amount invested by Q = q
40000 : q = 2 : 3
=> 40000/q = 2/3
=> q = 40000 * (3/2) = 60000
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88. A and B starts a business investing Rs.85,000 and Rs.15,000 respectively. Find out the ratio in which the profits should be shared.

Correct Ans:17:3
Explanation:
Here A's and B's capitals are there for an equal time. Hence
Ratio of share of profits between A and B =A's investedamount :B's investedamount
= 85000 : 15000
= 85 : 15
= 17 : 3
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89. A started a business by investing Rs.10000/-.After 1 year B joined by investing Rs.15000/- After 6 months C joined by investing Rs.24000/-. At the end of two years, they got a profit of Rs.47000/-. What is A's share?

Correct Ans:Rs.20000/-
Explanation:
A = Rs.10000/- per 24 months
B = Rs.15000/- per 12 months
C = Rs.24000/- per 6 months

A : B : C = 10000 * 24 : 15000 * 12 : 24000 * 6
= 20 : 15 : 12

Total = 47 parts -----> Rs.47000/- (profit)
=> 1 part ------> Rs.1000/-

Then, A's share is
= 20 part = Rs.1000/- * 20 parts = Rs.20,000/-
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90. A started a business by investing Rs.5000/-. After 4 months B joined by investing Rs.4000/- After 2 months C joined by investing Rs.3000/-. At the end of the year, they got a profit of Rs.5500/-. What is A's share?

Correct Ans:Rs.3000/-
Explanation:
A = Rs.5000/- per 12 months
B = Rs.4000/- per 8 months
C = Rs.3000/- per 6 months

A : B : C= (5000 * 12) : (4000 * 8) : (3000 * 6)
= 30 : 16 : 9

Total = 55 parts -----> Rs.5500/- (profit)
=> 1 part ------> Rs.100/-

Then, A's share is = 30 part = Rs.100 * 30 parts = Rs.3000/-
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91. A started a business by investing Rs.4000/-. After 4 months B joined by investing Rs.5000/- At the end of the year, there was a profit of Rs.8800/-. What is A's share?

Correct Ans:Rs.4800/-
Explanation:
A = Rs.4000/- per 12 months B = Rs.5000/- per 8 months
= 4000 * 12 : 5000 * 8 = 6 : 5 Total = 11 parts -----> Rs.8800/- (profit)
= 1 part ------> Rs.800/-
Then, A's share is
= 6 part = Rs.800/- * 6 parts = Rs.4800/-
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92. A,B and C started a business in which A invested Rs.2000/- for 1 year, B invested Rs.3000/- for 1 1/2 years, C invested Rs.4000/- for 2 years. At the end of the profit received by them is Rs.14500/-. What is C's share?

Correct Ans:Rs.8000/-
Explanation:
A = Rs.20000/- per 12 months B = Rs.30000/- per 18 months C = Rs.40000/- per 24 months
= 20000 * 12 : 30000 * 18 : 40000 * 24 = 4 : 9 : 16 Total = 29 parts -----> Rs.14500/- (profit)
= 1 part ------> Rs.500/-
Then, C's share is
= 16 part = Rs.500/- * 16 parts = Rs.8000/-
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93. A,B and C started a business in which A invested Rs.20000/- for 2 year, B invested Rs.30000/- for 3 years, C invested Rs.40000/- for 4 years. At the end of the profit received by them is Rs.11,600/-. What is Bï¿½s share?

Correct Ans:Rs.3600/-
Explanation:
A = Rs.20000/- per 2 year B = Rs.30000/- per 3 years C = Rs.40000/- per 4 years
= 20000 * 2 : 30000 * 3 : 40000 * 4
= 4 : 9 : 16
Total = 29 parts -----> Rs.11600/- (profit)
= 1 part ------> Rs.400/-
Then, B's share is
=> 9 part = Rs.400/-
=> 400 * 9 parts = Rs.3600/-
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94. A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?

Correct Ans:4
Explanation:
Assume that B joins for x months . Then
A : B = 76000 * 12 : 57000 * x = 2:1
=> 76 * 12 : 57x = 2:1
=> 76 * 12/57x = 2/1 = 2
=> x = (76 * 12)/(57 * 2) = (76 * 4)/(19 * 2) = 8
Hence B was there in the business for 8 months, and joined after 12-8 = 4 months
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95. In 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 157300 was their profit, how much amount did B receive?

Correct Ans:48400
Explanation:
Assume that investment of C = x
Then, investment of A = 2x
Investment of B = 4x/3
A:B:C = 2x : 4x/3 : x = 2 : 4/3 : 1 =6 : 4 : 3
B's share = 157300 * 4/(6+4+3) = 157300 * 4/13
= 12100 * 4 = 48400
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96. If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive

Correct Ans:900
Explanation:
Let P's capital = p, Q's capital = q and R's capital = r
Then
4p = 6q = 10r
=> 2p = 3q = 5r
=>q = 2p/3
r = 2p/5
P : Q : R = p : 2p/3 : 2p/5
= 15 : 10 : 6
R's share = 4650 * (6/31) = 150 * 6 = 900
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97. P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them. What is Q's share?

Correct Ans:144
Explanation:
The ratio of their initial investment = 1/2 : 1/3 : 1/4
= 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
P:Q:R = (6x * 2 + 3x * 10) : 4x * 12 : 3x * 12
= (12 + 30) : 4 * 12 : 3 * 12
=(4 + 10) : 4 * 4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
B's share = 378 * (8/21) = 18 * 8 = 144
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98. A,B and C started a business in which A invested Rs.10000/- for 1 year, B invested Rs.20000/- for 2 years, C invested Rs.30000/- for 3 years. At the end, the profit received by them is Rs.5600/-. What is C's share?

Correct Ans:Rs.3600/-
Explanation:
Given,A invested Rs.10,000/- for 1 year, B invested Rs.20,000/- for 2 years, C invested Rs.30,000/- for 3 years.
Therefore, the ratio of investment of A, B, C = Ratio of (Amount invested * No. of months in Business)
= (10,000 * 12) *: (20,000 * 24) : (30,000 * 36)
= (1 * 12) : (2 * 24) : (3 * 36)
= 1 : 4 : 9

Thus,Total parts of share = 1 + 4 + 9 = 14
C's part of share = 9
Given,total profit = Rs. 5600

Hence, C's share = Rs. (9/14) * 5600 = Rs. 3600
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99. A,B started a business in which A invested Rs.10000/- for 1 year, B invested Rs.20000/- for 2 years. At the end of the profit received by them is Rs.5000/-. What is A's share?

Correct Ans:Rs.1000/-
Explanation:
A = Rs.10000/- per 1 year B = Rs.20000/- per 2 years
= 10000 * 1 : 20000 * 2 = 1 : 4 Total = 5 parts -----> Rs.5000/- (profit)
= 1 part ------> Rs.1000/-
Then, A's share is
= 1 part = Rs.1000/-
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100. A,B and C started a business by investing Rs.1400/- , Rs.4200/- and Rs.7000/- respectively. Total profit is Rs.8100/-. Find the C's share?

Correct Ans:Rs.4500/-
Explanation:
Ratio of investment of A, B and C = 1400 : 4200 : 7000
= 1 : 3 : 5

Given,Total profit = Rs.8100

Then, C's share = 5/ (1 + 3 + 5) * 8100
= (5 /9) * 8100
= Rs. 4500
=> C's share =Rs. 4500
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