If A and B invest in a business in the ratio 4:5 and the total profit is $4500,

If A and B invest in a business in the ratio 4:5 and the total profit is $4500, how much does A receive?

If A and B invest in a business in the ratio 4:5 and the total profit is $4500, how much does A receive?

Step 1: Understand the ratio of investment between A and B, which is 4:5.
Step 2: Add the parts of the ratio together: 4 (A's part) + 5 (B's part) = 9 parts total.
Step 3: Determine A's share of the total profit. A's share is 4 parts out of the total 9 parts.
Step 4: Calculate A's share of the profit by multiplying A's parts by the total profit: (4/9) * 4500.
Step 5: Perform the calculation: (4/9) * 4500 = 2000.
Step 6: Conclude that A receives $2000.

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.