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Partnership
1.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?

Answer:Option 1

Explanation:

Solution:
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,
14x8y=5798x=40yy=49x20And, 14x7z=58112x=35zz=112x35=16x5Sox:y:z=x:49x20:16x5(Multiply by 20)20:49:64

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2.Three partners A , B , 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.

Answer:Option 1

Explanation:

Solution:
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 =
16500×411
  = 1500 × 4 = 6000.

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3.Kamal started a business investing Rs 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?

Answer:Option 1

Explanation:

Solution:
Now as per question, Kamal invested for 12 months and Sameer invested for 7 months.
So Kamal : Sameer = (9000 × 12) : (8000 × 7)
= 108 : 56
= 27 : 14
Sameer Ratio in profit will be
=(6970×1441)=Rs. 2380

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4.If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive

Answer:Option 1

Explanation:

Solution:
Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then
4p=6q=10r2p=3q=5rq=2p3r=2p5P:Q:R=p:2p3:2p5(Multiply by 15)=15:10:6R's share=4650×631=150×6=Rs900

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5.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?

Answer:Option 1

Explanation:

Solution:
A:B:C=(10×7):(12×5):(15×3)=70:60:45=14:12:9C's rent=Rs.(175×935)=Rs45

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6.In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?

Answer:Option 1

Explanation:

Solution:
Assume that investment of C = x
Then, investment of A = 2x
Investment of B =
2A3
=
4x3
(since ratio of investment of A : B = 2 : 3 i.e B =
2A3
)
A : B : C = 2x :
4x3
: x = 2 :
43
: 1 = 6 : 4 : 3
B's Share=157300×46+4+3=157300×413=12100×4=Rs. 48400

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7.A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

Answer:Option 1

Explanation:

Solution:
A : B : C
= (20,000 × 24) : (15,000 × 24) : (20,000 × 18)
= 4 : 3 : 3.
So B's Share=Rs25000×310=Rs. 7500

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8.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

Answer:Option 1

Explanation:

Solution:
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
So A's Share=Rs. 35000×2150=Rs. 14700

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9.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:

Answer:Option 1

Explanation:

Solution:
LetthetotalprofitbeRs.100Afterpayingtocharity,A'sshare=Rs.(95×35)=Rs.57IfA'sshareisRs.57,Totalprofit=Rs.100IfA'sshareRs.855,Totalprofit=(10057×855)=1500

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10.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.

Answer:Option 1

Explanation:

Solution:
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. 7030×1437=Rs. 2660

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