# If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive

A. Rs. 600

B. Rs. 700

C. Rs. 800

D. Rs. 900

### Solution(By Examveda Team)

Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then
\eqalign{ & 4p = 6q = 10r \cr & \Rightarrow 2p = 3q = 5r \cr & \Rightarrow q = \frac{{2p}}{3} \cr & \Rightarrow r = \frac{{2p}}{5} \cr & {\text{P}}:{\text{Q}}:{\text{R}} = p:\frac{{2p}}{3}:\frac{{2p}}{5} \cr & ({\text{Multiply by 15}}) \cr & = 15:10:6 \cr & {\text{R's share}} = 4650 \times \frac{6}{{31}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 150 \times 6 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}900 \cr}

1. why p is neutral?

2. need more clarification

3. 4,6,10 lcm is 60
so p:q:r =15:10:6
total parts=31
total profit is 4650
so 4650*(6/31)=900

4. LCM of 3 and 5 will be 15.

5. How you got 15 for multiplying

6. how you have taken p=15

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