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

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.