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Partnership

Theory and Formula



Question


Q1. A and B rent a pasture for 10 months. A puts in 100 cows for 8 months. How many can B put in for the remaining 2 months , if he pays half as much again as A ?

Solution.
Suppose B puts in x cows . Ratio of A's ans B's rents

= 1:1 +
1/2
= 1:
3/2
= 2:3

Then ,
100 x 8/(x) x 2
=
2/3


or, x =
100 x 8 x 3/2 x 2
= 600 cows
Solution

Q2. A and B enter into a partnership with capitals as 7:9 . At the end of 8 months. A withdraws. If they receive the profits in the ratio 8:9, find how long B's capital was used .

Suppose B's capital was used for x months. Following the same rule, we have

7 x 8/9 x (x)
=
8/9


or , x =
7 x 8 x 9/8 x 9
= 7

∴, B's capital was used for 7 months .
Solution

Q3. If the capital of the partners are invested for different length or time , is called as complex partnership.
(a) True (b) False (c) None of these (d) can't say

Solution.
(a) True
Solution

Q4. Partner who only invest the money in business , he cannot take part to run or to operate the business, is called sleeping partner .
(a) True (b) False (c) None of these (d) can't say

Solution.
(a) True
Solution

Q5. A began a business with Rs. 900 and joined after wards by B with Rs.600 for how many months B was in business if at the end of the year profit divided in the ratio of 2:1 ?

(a) 7 months (b) 9 months (c) 6 months (d) 8 months

Solution.
A's capital x A's time/B's capital x B's time
=
A's profit/B's profit


900 x 12/600 x (x)
=
2/1


900 x 12 = 1200x

900 = 100x

x = 9
Solution

Q6. A and B joined a business with capitals as 1:1 at the end of 6 months, A withdrew . If they receive profits in the ratio 6:7 . find how long B's capital was used .

(a) 10 months (b) 9 months (c) 7 months (d) 6 months

Solution.
(c) 7 months
Solution

Q7. A,B and C invested capitals in the ratio 2:4:5, the timing of their investment being in the ratio 3:2:6 . Find their profit ratio .

(a) 3:4:15 (b) 2:1:1 (c) 4:6:3 (d) 7:8:9

Solution.
= 6:8:30

= 3:4:15
Solution

Q8. In compound partnership, the ratio of profit is directly proportional to both money and time.

(a) false (b) true (c) can'tsay

Solution.
(b) true
Solution

Q9. A,B and C invested capitals in the ratio 3:2:4 and investment period in the ratio 3:4:5. find their profit ratio.

(a) 9:8:20 (b) 9:10:20 (c) 8:7:5 (d) 3:2:1

Solution.
(a) 9:8:20
Solution

Q10. In a business B's capital is half of A's capital . After 8 months B withdrew his half of capital and then after two months A withdrew 1/4 of his invested capital, find the profit ratio of A and B .

Solution.
Profit ratio of A and B = ratio of invested value

= {X x 10 + (3/4)X x 2} : (X/2 x 8 + X/4 x 4)

= (10 + 3/2) : (4+1)

= 23/2 : 5 = 23: 10
Solution