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?

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? Correct Answer Rs. 7707

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.

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