P invested Rs. 5000 per month for 6 months of a year and Q invested Rs. r per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that investment year, Q receives 4/9 of the total profit, what is the value of r (in Rs.)?
A. 2100
B. 3000
C. 997
D. 8437
GATE 2022 · General Aptitude · Profit Loss · medium
Answer: r = Rs. 3000 (Option B)
Calculate total investments: P's total investment = 5000 * 6 = 30000. Q's total investment = r * 8 = 8r.
Set up profit ratio from given share: Q receives 4/9 of total profit => P receives 5/9. So Profit_P : Profit_Q = 5:4. Therefore Investment_P : Investment_Q = 5:4.