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# Partnership

1.

P and Q invested in a business. They earned some profit which they divided in the ratio of 2:3. If P invested Rs.30000, the amount invested by Q is

Answer: C

30,000 : Q = 2 : 3

Q = 90,000/2 = 45,000

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2.

If 8 (P’s Capital ) = 10 ( Q’s Capital ) = 12 ( R’s Capital ) , then out of the total profit of Rs 2590 , R will receive ?

Answer: C

8p = 10q = 12r

4p = 5q = 6r

q = 4p/5

r = 4p/6 = 2p/3

P : Q : R = p : 4p/5 : 2p/3

15:12:10 R’s share = 2590 * (12/37) = 70*12 = Rs. 840.

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3.

X, Y and Z enter into a partnership and theirs shares are in the ratio 1/2 : 1/3 : 1/4. After two months, X withdraws half of his capital and after 10 months, a profit of Rs.420 is divided among them. What is Y’s share?

Answer: C

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

Ratio (6x * 2) + (3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 ==>7 : 8 : 6.

B’s share = 420 * 8/21 = Rs. 160.

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4.

A & B partner in a business , A contribute 1/4 of the capital for 15 months & B received 2/3 of the profit . For how long B’s money was used

Answer: C

B received 2/3 of the profit

A : B = 1 : 2

Let the total capital = x

Then A’s capital = x/4 B’s capital = x – x/4 = 3x/4

If B’s money was used for a months Then A : B = (x/4)*15 : (3x/4)*a = 1 : 2

15/4 : 3b/4 = 1 : 2

15 : 3b = 1 : 2

5 : b = 1 : 2

a = 5*2 = 10

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5.

Naveen and Kannan jointly started a business. Naveen invested four times as Kannan did and invested his money for double time as compared to Kannan. Kannan earned Rs. 5400. Then the total gain was ?

Answer: B

Investments ratio is = 4:1

Time period ratio is = 2:1

Gain ratio of Naveen and Kannan = 8:1

Kannan got Rs. 5400,

1 5400 9 ? ==> Rs 48600

The total gain = Rs 48600

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