L, M, and N invest in a business in the ratio 2:3:5. If the total profit is $100

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Question: L, M, and N invest in a business in the ratio 2:3:5. If the total profit is $10000, how much does M receive?

Options:

Correct Answer: $4000

Solution:

Total parts = 2 + 3 + 5 = 10. M\'s share = (3/10) * 10000 = $3000.

L, M, and N invest in a business in the ratio 2:3:5. If the total profit is $10000, how much does M receive?

L, M, and N invest in a business in the ratio 2:3:5. If the total profit is $10000, how much does M receive?

Step 1: Identify the ratio of investments made by L, M, and N, which is 2:3:5.
Step 2: Add the parts of the ratio together: 2 + 3 + 5 = 10.
Step 3: Determine M's share of the total profit. M's part in the ratio is 3.
Step 4: Calculate M's share of the total profit by using the formula: (M's part / Total parts) * Total profit.
Step 5: Substitute the values into the formula: (3 / 10) * 10000.
Step 6: Perform the calculation: 3 * 10000 = 30000, then divide by 10 to get 3000.
Step 7: Conclude that M receives $3000.

Ratio and Proportion – Understanding how to divide a total based on given ratios.
Profit Sharing – Calculating individual shares from a total profit based on investment ratios.