Correct Answer - Option 2 : Rs. 40000

**Given:**

A Invests (I_{1}) = Rs. 50000

Time (t_{1}) = 8 months

B Invests (I_{2}) = Rs. 20000

Time (t_{2}) = 10 months

Total profit = Rs. 60000

**Formula:**

Profit = Investments × time

Profit (P1)/Profit (P) = (I_{1}/I_{2}) × (t_{1}/t_{2})

**Calculation:**

We know that –

Profit (P1)/Profit (P2) = (I_{1}/I_{2}) × (t_{1}/t_{2}) …….. (1)

Put all the given values in equation (1) then we get

(P1/P2) = (50000/20000) × (8/10)

⇒ (5/2) × (8/10)

⇒ 40/20

⇒ 2/1

Now,

Profit shares of A = (2/3) × 60000

⇒ 2 × 20000

⇒ 40000

**∴**** The Profit shares of A will be Rs. 40000**