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:

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

Answer: Option D

Explanation:

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

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

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 :) ]

Answer: Option B

Explanation:

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

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}