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

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

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

Answer: Option D

Explanation:

Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 20000 * 6 : x * 12.
120000/12x : 6000/3000
=> x = 120000/24 = 5000

Answer: Option D

Explanation:

Ratio of their shares = 22500 : 35000
=9 : 14

Deepak's share = Rs.(13800×14/23)
= Rs. 8400

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