#### Partnership MCQ Questions and answers-

##### 1.Sumit and Ravi started a business by investing Rs 85000 and 15000 respectively. In what ratio the profit earned after 2 years be divided between Sumit and Ravi respectively.
Explanation:
```Note: If you have clear concept of ratio and proportion chapter then it will really easy for you to solve partnership problems.

P:Q = 85000:15000 = 17:3

Important to note there that if both have invested for different period of times then we had to multiply with number of months to get the desired ratio.
```

##### 2. A,B and C enter into a partnership investing Rs 35000, Rs 45000 and 55000. Find the their respective shares in annual profit of 40,500
Explanation:
```A:B:C = 35000:45000:55000 = 7:9:11

A's share = (7/27) *40500 = Rs 10500
B's share = (9/27) *40500 = Rs 13500
C's share = (11/27)*40500 = Rs 16500
```
[In options we can see that only salary of C is different in all options. So we cn just calculate the C share to solve question quickly :) ]

##### 3.Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Explanation:
```Let C = x.
Then B = x/2
and A = x/4

A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400
```

##### 4. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them 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 amount A, B and C
Explanation:
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
```A:B:C =(3x*12):(5x*12):(5x*6)
= 36:60:30
= 6:10:5```

##### 5. Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
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/8x = 5/7
=> y = (49/20)x

14x/7z = 5/8

=> z = (16/5)x

=>x:y:z = x:(49/20)x:(16/5)x
= 20:49:64```

##### 6. 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
Explanation:
```Let B contribution is x.
(3500∗127)7x=2/3=>14x=126000
=>
x=Rs9000```

##### 7.Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of Rs. 13,800. Deepak's share is
```Ratio of their shares	= 22500 : 35000