P and Q invest ₹1,20,000 and ₹90,000 respectively in a business. After 4 months, P increases his capital by 50%. If the total profit after 1 year is ₹99,000, what is Q's share?
Show answer & explanation
Correct answer: A
Explanation
P's investment = ₹1,20,000
Q's investment = ₹90,000
After 4 months, P increases his capital by 50% -
New capital = 1,20,000 + 60,000 = ₹1,80,000
Investment based on time -
P's investment = (1,20,000 × 4) + (1,80,000 × 8)
= 4,80,000 + 14,40,000 = 19,20,000
Q's investment for the full 12 months -
= 90,000 × 12 = 10,80,000
P : Q = 19,20,000 : 10,80,000 = 16 : 9
Total profit = ₹99,000
Q's share -
= (9 / 25) × 99,000
= ₹35,640