• #### 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.

1. 17:1
2. 17:2
3. 17:3
4. 17:4

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

1. 10500, 13500, 19500
2. 10500, 13500, 18500
3. 10500, 13500, 17500
4. 10500, 13500, 16500

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

1. Rs 200
2. Rs 300
3. Rs 400
4. Rs 500

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

1. 3:7:5
2. 6:10:5
3. 6:10:7
4. 6:7:5

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?

1. 19:49:64
2. 20:49:64
3. 20:49:65
4. 20:50:64

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

1. Rs 9000
2. Rs 7000
3. Rs 5000
4. Rs 4000

Explanation:

Let B contribution is x.
\begin{aligned}
\frac{3500*12}{7x} = \frac{2}{3} \\
=> 14x = 126000
=> x = Rs 9000
\end{aligned}

1. Rs 9600
2. Rs 8500
3. Rs 8450
4. Rs 8400