Partnership Test-2

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Partnership Test-2

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Weekly Quiz Competition

Question 1
1 / -0.25

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A 's share is Rs. 855, the total profit is:

A
Rs. 1425

B
Rs. 1500

C
Rs. 1537.50

D
Rs. 1576

Solution

Let the total profitbe Rs.100 After paying to charity, A 's share

If A 's share is Rs.57,
Total profit=Rs.100
If A 's share Rs.855,
Total profit
Question 2
1 / -0.25

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

A
Rs. 1900

B
Rs. 2660

C
Rs. 2800

D
Rs. 2840

Solution

For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
∴ B 's Share
Question 3
1 / -0.25

A, B and C enter into a partnership in the ratio    After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B 's share in the profit is:

A
Rs. 2100

B
Rs. 2400

C
Rs. 3600

D
Rs. 4000

Solution

Ratio of initial investments

Let the initial investments be
105x,40x and 36x
Question 4
1 / -0.25

A, 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:

A
Rs. 8400

B
Rs. 11,900

C
Rs. 13,600

D
Rs. 14,700

Solution

Let C=x
Then, B=x+5000 and
A=x+5000+4000
=x+9000
So, x+x+5000+x+9000=50000
⇒3x=36000
⇒x=12000
A:B:C=21000:17000:12000
=21:17:12
∴A 's share
Question 5
1 / -0.25

Three 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?

A
5 : 7 : 8

B
20 : 49 : 64

C
38 : 28 : 21

D
None of these

Solution

Let their investments be
Rs.x for 14months,
Rs.y for 8 months and
Rs.z for 7 months respectively. Then,14x:8y:7z=5:7:8
Question 6
1 / -0.25

A 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?

A
Rs. 7500

B
Rs. 8000

C
Rs. 8500

D
Rs. 9000

Solution

Let B 's capital be Rs. x
∴A 's share in 12 months=3500 ×12
And, B 's share in 7 months=7x
Let B 's capitalbe Rs.x

⇒14x=126000
⇒x=9000
Question 7
1 / -0.25

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A 's share in this profit is:

A
Rs. 330

B
Rs. 360

C
Rs. 380

D
Rs. 430

Solution

A:B

=(12x+21x):(15x+28x)
=33x:43x
=33:43
∴A 's share
=Rs.330
Question 8
1 / -0.25

A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then 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?

A
3 : 5 : 2

B
3 : 5 : 5

C
6 : 10 : 5

D
Data inadequate

Solution

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 = (3x x 12) : (5x x 12) : (5x x 6)
= 36 : 60 : 30
= 6 : 10 : 5.
Question 9
1 / -0.25

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A
Rs. 45

B
Rs. 50

C
Rs. 55

D
Rs. 60

Solution

A:B:C
=(10 ×7):(12 ×5):(15 ×3)
=70:60:45
=14:12:9
Question 10
1 / -0.25

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B 's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

A
Rs. 7500

B
Rs. 9000

C
Rs. 9500

D
Rs. 10,000

Solution

A:B:C
=(20000 ×24):(15000 ×24):(20000 ×18)
=4:3:3