Correct Answer - Option 4 : Rs. 20000
Given:
A's capital investment for first six months = Rs. 15000
B's capital investment for first six months = Rs. 18000
A's capital investment for last six months = Rs. (2 × 15000) = Rs. 30000
B's capital investment for last six months = Rs. [(1/2) × 18000] = Rs. 9000
Profit received by A = Rs. 12500
Concept used:
(A's profit share) ∶ (B's profit share) = (A's capital investment × A's time period of investment) ∶ (B's capital investment × B's time period of investment)
Calculations:
Let the profit earned by B be Rs. x
⇒ (A's profit share) ∶ (B's profit share) = [(15000 × 6) + (30000 × 6)] ∶ [(18000 × 6) + (9000 × 6)]
⇒ 12500/x = (45000 × 6)/(27000 × 6)
⇒ 12500/x = 45/27
⇒ 12500/x = 5/3
⇒ x = 12500 × (3/5)
⇒ x = Rs. 7500
Total profit earned = 12500 + 7500 = Rs. 20000
∴ The total profit earned by A and B together is Rs. 20000