Three partners A, B, and C started a business. A invested Rs. 30,000, B invested Rs. 20,000, and C invested Rs. 25,000. After 6 months, A withdrew Rs. 5,000 and C invested Rs. 7,000 more. At the end of the year, the firm incurred a loss of Rs. 24,000. Find the share of loss borne by partner C.
Show answer & explanation
Correct answer: C
Explanation
Given:
A = 30,000 (for 6 months), then 25,000 (for 6 months)
B = 20,000 (for 12 months)
C = 25,000 (for 6 months), then 32,000 (for 6 months)
Total Loss = ₹24,000
A = 30,000 × 6 + 25,000 × 6 = 180,000 + 150,000 = 330,000
B = 20,000 × 12 = 240,000
C = 25,000 × 6 + 32,000 × 6 = 150,000 + 192,000 = 342,000
Ratio = 330,000 : 240,000 : 342,000 = 55 : 40 : 57
Total Shares = 55 + 40 + 57 = 152
C's Share = (57/152) × 24,000 = ₹9,000