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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
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital...
Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then
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Most Upvoted Answer
If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital...
Given: 4(Ps) = 6(Qs) = 10(Rs)
Let the profit share of P, Q and R be Px, Qx and Rx respectively.
Total profit = Rs. 4650
We need to find Rx.

Approach:
We can use the given ratio to find the profit share of each person and then calculate the profit share of R.

Calculation:
Let us assume that the common ratio is k.
Then, 4k = 6k/2 = 10k/5
Simplifying, we get k = 2
Therefore, 4(Ps) = 6(Qs) = 10(Rs) = 2x
So, Ps = x/2, Qs = x/3 and Rs = x/5

Total profit = Px + Qx + Rx = x/2 + x/3 + x/5 = (15x+10x+6x)/30 = 31x/30

Now, we can find the value of x as follows:
31x/30 = 4650
x = 450

Therefore, Rx = x/5 = 90
Hence, option D is the correct answer.

Final Answer: Rx = Rs. 900
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