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Solved Examples(Set 5) - Partnership

21. A and B start a business jointly. A invests Rs 16000 for 8 month and B remains in the business for 4 months. Out of total profit, B claims $\dfrac{2}{7}$ of the profit . How much money was contributed by B?
A. 11200B. 12800
C. 12400D. 12000
Discuss
answer with explanation

Answer: Option B

Explanation:

B claims $\dfrac{2}{7}$ of the profit
A claims remaining $\dfrac{5}{7}$ of the profit
=> A : B $=\dfrac{5}{7}:\dfrac{2}{7}=5:2$

Let the money contributed by B $=b$
Then A:B $=16000×8:b×4$

Therefore,
$16000×8:b×4=5:2\\16000×8×2=b×4×5\\16000×2×2=b×5\\3200×2×2=b\\b=12800$

22. A and B starts a business investing Rs.85000 and Rs.15000 respectively. Find out the ratio in which the profits should be shared.
A. 17 : 3B. 10 : 3
C. 3 : 17D. 3 : 10
Discuss
answer with explanation

Answer: Option A

Explanation:

Here A's and B's capitals are there for equal time. Hence

A : B = 85000 : 15000
= 85 : 15
= 17 : 3

23. A, B and C start a business with each investing Rs 20,000. After 5 months A withdraws Rs 5000, B withdraws Rs 4000 and C invests Rs 6000 more. At the end of the year, a total profit of Rs 69900 was recorded. Find the share of A.
A. 20600B. 20500
C. 20700D. 20400
Discuss
answer with explanation

Answer: Option B

Explanation:

A : B : C

$=(20000×5+15000×7)\\:(20000×5+16000×7)\\:(20000×5+26000×7)$

$= (20×5 + 15×7)\\:(20×5 + 16×7)\\:(20×5 + 26×7)$

$= 205 : 212 : 282$

A's share $=69900×\dfrac{205}{205+212+282}$
$=69900×\dfrac{205}{699}=20500$

24. A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
A. 3B. 5
C. 4D. 2
Discuss
answer with explanation

Answer: Option C

Explanation:

Suppose B was there in the business for $x$ months. Then
A : B $=76000×12:57000×x$

Therefore,
$76000×12:57000×x=2:1\\76×12:57x=2:1\\76×12×1=57x×2\\76×4=19x×2\\4×4=x×2\\x=8$

Hence B was there in the business for 8 months, or joined after 12-8 = 4 months

25. Three partners A, B and C start a business. B's capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16500 at the end of a year, find out B's share in it.
A. 6000B. 7000
C. 4000D. 5000
Discuss
answer with explanation

Answer: Option A

Explanation:

Suppose C's capital $=x$. Then,
B's capital $=4x$ (Since B's capital is four times C's capital)
A's capital $=6x$ (Since twice A's capital is equal to thrice B's capital)

A : B : C $=6x:4x:x$
= 6 : 4 : 1

B's share
$=16500×\dfrac{4}{11}=1500×4=6000$

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