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 C

Explanation:

A:B: C = 16000*3 + 11000*9:12000*3 + 17000*9:21000*6
= 147:189:126 = 7:9:6
Difference of B and C’s shares =
Rs. [26400 * (9/22) — 26400 * (6/22))
= Rs. 3600

Answer: Option C

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.

Answer: Option B

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

Answer: Option D

Explanation:

A:B:C = 35000:45000:55000
= 7:9:11

Now we are having the ratio.
to get the share, first make total of above ratio.
then get each share.

$$\begin{aligned} \text{A's Share} = 40500*\frac{7}{27} \\ = Rs&10500 \\ \text{B's Share} = 40500*\frac{9}{27} \\ = Rs&13500 \\ \text{B's Share} = 40500*\frac{11}{27} \\ = Rs&16500 \\ \end{aligned}$$

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