A and B started a business with initial investments of Rs. 50,000 and Rs. 1,00,000, respectively. After 6 months, C joined with an investment of Rs. 1,50,000. If the total profit at the end of 1 year is Rs. 4,50,000, how much will C receive?
Show answer & explanation
Correct answer: B
Explanation
Given:
A's investment = ₹50,000 (12 months)
B's investment = ₹1,00,000 (12 months)
C's investment = ₹1,50,000 (6 months)
Total profit = ₹450,000
A : B : C = (50,000 × 12) : (100,000 × 12) : (150,000 × 6)
= 6,00,000 : 1,200,000 : 9,00,000
= 6 : 12 : 9
= 2 : 4 : 3
Total share = 2 + 4 + 3 = 9
C's share = 450,000 × 3 / 9 = ₹150,000