P, Q and R have a partnership firm. P’s profit share is 2/3rd of the Q’s profit share and R’s share is 1/2 of the Q’s share. If total revenue is Rs. 43296 and total expense is Rs. 9899, then what will be the profit share of R?
  • a)
    Rs. 5138
  • b)
    Rs. 7707
  • c)
    Rs. 10276
  • d)
    Rs. 15414
Correct answer is option 'B'. Can you explain this answer?

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Answers

Naroj Boda
Jan 17, 2022
Net Profit = Total Revenue – Total Expense = Rs. 43296 – Rs. 9899 = Rs. 33397
Let, the profit share of Q is Rs. x.
→ P’s profit share = Rs. 2x/3
→ R’s profit share = Rs. x/2
Thus we have,
Net Profit = P’s profit share + Q’s profit share + R’s profit share
33397 = 2x/3 + x + x/2
33397 = (4x + 6x + 3x)/6
33397 = 13x/6
x = (33397 × 6)/13
= 15414
R’s share = 15414/2 = 7707
Hence, Rs. 7707 is the correct answer.

Net Profit = Total Revenue – Total Expense = Rs. 43296 – Rs. 9899 = Rs. 33397Let, the profit share of Q is Rs. x.→ P’s profit share = Rs. 2x/3→ R’s profit share = Rs. x/2Thus we have,Net Profit = P’s profit share + Q’s profit share + R’s profit share33397 = 2x/3 + x + x/233397 = (4x + 6x + 3x)/633397 = 13x/6x = (33397 × 6)/13= 15414R’s share = 15414/2 = 7707Hence, Rs. 7707 is the correct answer.
Net Profit = Total Revenue – Total Expense = Rs. 43296 – Rs. 9899 = Rs. 33397Let, the profit share of Q is Rs. x.→ P’s profit share = Rs. 2x/3→ R’s profit share = Rs. x/2Thus we have,Net Profit = P’s profit share + Q’s profit share + R’s profit share33397 = 2x/3 + x + x/233397 = (4x + 6x + 3x)/633397 = 13x/6x = (33397 × 6)/13= 15414R’s share = 15414/2 = 7707Hence, Rs. 7707 is the correct answer.