Question

Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is

• A. 2400
• B. 2200
• C. 2000
• D. 1800

Answer 1

The Correct Option is C

Anil contributes 70% of the total investment, and when the overall profit falls from 18% to 15%, his profit share declines by ₹420. Each of the three has invested an equal amount of 'x'.

Step 1: Setting up the equation for Anil's share

The difference in profit share for Anil is given by:

\[ 70\% \times \left(18\% \times x - 15\% \times x \right) = 420 \] Simplifying: \[ 420 = 70\% \times 3\% \times x \] \[ 420 = 0.7 \times 0.03 \times x \] Solving for \(x\): \[ x = \frac{420}{0.7 \times 0.03} = 20,000 \]

Step 2: Chintu's profit share increase

When the profit increases from 15% to 17%, Chintu’s profit share increases by ₹80. Chintu’s profit portion is denoted by \( c\% \). We can represent the change as:

\[ c\% \times 2\% \times 20,000 = 80 \] Simplifying: \[ \frac{c}{100} \times 0.02 \times 20,000 = 80 \] \[ c \times 400 = 80 \quad \Rightarrow \quad c = 20 \]

Step 3: Calculating Bobby's share

Since Chintu owns 20% of the investment, Bobby must own the remaining 10%. Therefore, Bobby's investment is:

\[ 10\% \times 20,000 = 2,000 \]

Final Answer:

Bobby's share is ₹2,000, which represents 10% of the total investment of ₹20,000.