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

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 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

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 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 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