Question

Ankit and Raju decided to start a business and they invested Rs. 5500 and Rs. 6500 respectively. After 11 months, the difference between their profits is Rs. 680. Find the total profit.

• A. Rs. 8160
• B. Rs. 7260
• C. Rs. 7000
• D. Rs. 6500

Answer 1

The Correct Option is A

Ankit and Raju's investments are Rs. 5500 and Rs. 6500, respectively. The duration of the investment is 11 months. Their profit ratio is based on the product of investment and time. 

The formula for profit is: Profit = (Investment) × (Time)

(1) Calculate their profit ratio:

Ankit's share: \(5500 \times 11 = 60500\)

Raju's share: \(6500 \times 11 = 71500\)

Ratio = 60500:71500 = 121:143

(2) Let the total profit be \(x\).

Profits according to ratio:

Ankit's profit = \(\frac{121}{121+143} \times x = \frac{121}{264} \times x\)

Raju's profit = \(\frac{143}{264} \times x\)

The difference in their profits is \(Rs.680\):

\(\frac{143}{264} \times x - \frac{121}{264} \times x = 680\)

\((143-121)\times\frac{x}{264} = 680\)

\(22\times\frac{x}{264} = 680\)

\(x = \frac{680 \times 264}{22}\)

\(x = 8160\)

Thus, the total profit is Rs. 8160.

Answer 2

1. Investment Ratio:

• Ankit's investment = Rs. 5500
• Raju's investment = Rs. 6500
• Ratio of their investments = 5500 : 6500 = 55 : 65 = 11 : 13

2. Profit Ratio:

• Since they invested for the same period (11 months), the profit will be distributed in the same ratio as their investments.
• Profit ratio = 11 : 13

3. Difference in Profits:

• Let Ankit's profit be 11x and Raju's profit be 13x.
• The difference between their profits is 13x - 11x = 2x.
• We are given that the difference is Rs. 680.
• So, 2x = 680
• x = 680 / 2 = 340

4. Individual Profits:

• Ankit's profit = 11x = 11 * 340 = Rs. 3740
• Raju's profit = 13x = 13 * 340 = Rs. 4420

5. Total Profit:

• Total profit = Ankit's profit + Raju's profit
• Total profit = 3740 + 4420 = Rs. 8160

Therefore, the total profit is Rs. 8160.

The correct answer is Option 1.