Partnership

Question:
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

Question: 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

Question:
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.

Question:
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

Question:
A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew 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

Answer: Option A

Explanation:

A : B =

4x x 3 +

4x –

1

x 4x

x 7

:

5x x 3 +

5x –

1

x 5x

x 7

4

5

   = (12x + 21x) : (15x + 28x)

   = 33x :43x

   = 33 : 43.

A’s share = Rs.		760 x	33		= Rs. 330.
			76

Question:
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

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

Question: 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

Answer: Option C

Explanation:

Let the initial investments of A and B be 3x and 5x.

A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.

Question:
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

Answer: Option A

Explanation:

A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9.

C’s rent = Rs.		175 x	9		= Rs. 45.
			35

Question: 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

Question: Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
[A].

Rs. 890

[B].

Rs. 1335

[C].

Rs. 1602

[D].

Rs. 1780

Answer: Option A

Explanation:

Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)

= 48 : 32 : 64

= 3 : 2 : 4.

Kamal’s share = Rs.		4005 x	2		= Rs. 890.
			9