Partnership - General Questions (2)

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

Answer: Option D

Explanation:

Let B's capital be Rs. x.

Then,		3500 x 12	=	2
		7x		3

14x = 126000

x = 9000.

10.

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

Answer: Option B

Explanation:

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	=	5	98x = 40y y =	49	x
	8y		7		20

And,	14x	=	5	112x = 35z z =	112	x =	16	x.
	7z		8		35		5

x : y : z = x :	49	x	:	16	x	= 20 : 49 : 64.
	20			5

11.

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

Answer: Option D

Explanation:

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 = Rs.		35000 x	21		= Rs. 14,700.
			50

12.

A, B and C enter into a partnership in the ratio 1-div-7by2 : 1-div-4by3 : 1-div-6by5 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

Answer: Option D

Explanation:

Ratio of initial investments =		7	:	4	:	6		= 105 : 40 : 36.
		2		3		5

Let the initial investments be 105x, 40x and 36x.

A : B : C =		105x x 4 +	150	x 105x x 8		: (40x x 12) : (36x x 12)
			100

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs.		21600 x	10		= Rs. 4000.
			54

13.

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

Answer: Option B

Explanation:

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 = Rs.		7030 x	14		= Rs. 2660.
			37

14.

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

Answer: Option B

Explanation:

Let the total profit be Rs. 100.

After paying to charity, A's share = Rs.		95 x	3		= Rs. 57.
			5

If A's share is Rs. 57, total profit = Rs. 100.

If A's share Rs. 855, total profit =		100	x 855		= 1500.
		57

Partnership - General Questions (2)

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