Question Detail

Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.

8 months
10 months
11 months
17 months

Answer: Option B

Explanation:

Let the total profit be Rs. Z

Bharti's share = (2/3)Z
Rahul's Share = Z-(2/3)Z = Z/3

Rahul:Bharti = Z/3:(2/3)Z = 1:2

Now let the total capital be Rs X, and Bharti capital was used for Y months
then, Rahul capital will be (1/4)X and Bharti capital wil be X-(1/4)X = 3X/4
\begin{aligned}
\frac{\frac{1}{4}X*15}{\frac{3}{4}X*Y}= \frac{1}{2} \\
Y = \frac{15*2}{3} = 10
\end{aligned}

So Bharti's money was used for 10 months

1. A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?

Answer: Option B

Explanation:

Suppose B joined after x months
then,
21000*12=36000*(12-x)
=> 36x = 180
=> x = 5

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

10500, 13500, 19500
10500, 13500, 18500
10500, 13500, 17500
10500, 13500, 16500

Answer: Option D

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. 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

3:7:5
6:10:5
6:10:7
6:7:5

Answer: Option B

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

4. P and Q started a business investing Rs 85000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.

17:5
17:3
17:6
17:7

Answer: Option B

Explanation:

In this type of question as time frame for both investors is equal then just get the ratio of their investments.

P:Q = 85000:15000
= 85:15
= 17:3

5. In 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.

Rs 48000
Rs 47000
Rs 47400
Rs 48400

Answer: Option D

Explanation:

A:B = 3:2 = 6:4
=> A:C = 2:1 = 6:3

=> A:B:C = 6:4:3

B share = (4/13)*157300
= 48400