Question

Sachin invested Rs. 95,000 in a business. After few months, Viju joined him Rs.57, 000. At the end of the year, the total profit was divided between them in ratio 2:1. After how many months did Viju join?

• A. 2
• B. 5
• C. 4
• D. 3

Answer 1

The Correct Option is A

Investment and Profit Sharing Calculation 

Step 1: Define Investments

• Let Sachin invest Rs. 95,000 for 12 months.
• Let Viju join after x months, so his investment duration is \((12 - x)\) months.
• Sachin’s total investment:
• Viju’s total investment:

Step 2: Use the Given Profit Ratio

The profit is divided in the ratio 2:1, so the ratio of their investments is:

\[ \frac{95,000 \times 12}{57,000 \times (12 - x)} = 2 \]

Step 3: Solve for x

\[ \frac{12}{12 - x} = \frac{2 \times 57,000}{95,000} \]

\[ \frac{12}{12 - x} = \frac{114,000}{95,000} \]

\[ \frac{12}{12 - x} = 1.2 \]

\[ 12 = 1.2 \times (12 - x) \]

\[ 12 = 14.4 - 1.2x \]

\[ 1.2x = 2.4 \]

\[ x = 2 \]

Final Answer

Thus, Viju joined after 2 months.