Let's solve this step-by-step.

Step 1: Set Up the Variables

• Let Q's investment be ₹ $X$, which was invested for 10 months.
• P invested ₹ $(X + 14,000)$ for 8 months.

Step 2: Determine the Shares of Profit The total profit from the business is ₹ 2,000.

• We are given that P's share is ₹ 1,200.
• Q's share is then ₹ 800 (since $2,000 - 1,200 = 800$).

Step 3: Set Up the Profit-Sharing Ratio Equation Since profit is divided in the ratio of each person’s contribution (capital × time), we can set up the following equation:

$8 \times (X + 14,000) \div (10 \times X) = 1,200 \div 800$

Step 4: Simplify the Equation

$8 \times (X + 14,000) \div (10 \times X) = 3 \div 2$

$2 \times 8 \times (X + 14,000) = 3 \times 10 \times X$

$16X + 224,000 = 30X$

Step 5: Solve for X

$30X - 16X = 224,000$

$14X = 224,000$

$X = 16,000$

Thus, Q’s investment is ₹ 16,000.

Step 6: Calculate P’s Investment Since P invested ₹ 14,000 more than Q:

$P = X + 14,000 = 16,000 + 14,000 = 30,000$

The capital contributed by P is ₹ 30,000.