P , Q, and R invest ₹50,000, ₹75,000, and ₹1,00,000 respectively for 1 year . What is Q's share in ₹60,000 profit?

The correct option is ₹20,000.

Step-by-step Explanation:

Step 1: Understand the ratio of investments

When multiple partners invest money for the same duration (here, 1 year), their shares in the profit are distributed in the ratio of their initial investments.

Let the investments of P, Q, and R be:

$\text{P's investment}=\text{₹50,000}$

$\text{Q's investment}=\text{₹75,000}$

$\text{R's investment}=\text{₹1,00,000}$

Step 2: Find the simplified investment ratio

Ratio of investments P : Q : R = 50,000 : 75,000 : 1,00,000

Dividing each term by 25,000:

$\text{Ratio (P : Q : R)}=2:3:4$

Step 3: Calculate the total ratio units

$\text{Total parts}=2+3+4=9$

Step 4: Calculate Q's share in the profit

Total profit = ₹60,000

Q's share of profit = $\frac{3}{9}\×\text{₹60,000}$

$\text{Q's share}=\frac{1}{3}\×\text{60,000}=\text{₹20,000}$

Thus, Q's share in the profit is ₹20,000.