Correct Answer - Option 1 : (a), (b) are correct
Given:
A's share = Rs. 16000
B's share = Rs. 12000
C's share = Rs. 21000
Total profit = Rs. 26400
Calculation:
A's share = Rs. 16000
B's share = Rs. 12000
C's share = Rs. 21000
A's investment in 3 months = 3 × 16000 = Rs. 48000
After 3 months A withdraw Rs. 5000
A's final profit in one year = 48000 + 9(16000 - 5000) = Rs. 147000
B's investment in 3 months = 3 × 12000 = Rs. 36000
After 3 months B invested Rs. 5000 more
B's final profit in one year = 36000 + 9(12000 + 5000) = Rs. 189000
C invest after 6 months = 6 × 21000 = Rs. 126000
The ratio of three shares = 147000 : 189000 : 126000 = 7 : 9 : 6
Total share = 22
Total profit = Rs. 26400
Difference between B's and C's profit = (9 - 6)/(22) × 26400
Difference between B's and C's profit = (3/22) × 26400 = Rs. 3600
Share of A = (7/22) × 26400 = Rs. 8400
a and b are correct statement
∴ The correct answer is option 1.