If E and F invest in a business in the ratio 3:4 and F's profit is $28,000, what

₹0.0

Question: If E and F invest in a business in the ratio 3:4 and F\'s profit is $28,000, what is the total profit?

Options:

Correct Answer: $64,000

Solution:

F\'s share = 4 parts. Total parts = 3 + 4 = 7. Total profit = (7/4) * 28000 = $49,000.

If E and F invest in a business in the ratio 3:4 and F's profit is $28,000, what is the total profit?

If E and F invest in a business in the ratio 3:4 and F's profit is $28,000, what is the total profit?

Step 1: Understand that E and F are investing in a business in a ratio of 3:4. This means for every 3 parts E invests, F invests 4 parts.
Step 2: Calculate the total number of parts by adding E's parts and F's parts: 3 + 4 = 7 parts.
Step 3: Recognize that F's profit corresponds to 4 parts of the total profit, and we know F's profit is $28,000.
Step 4: To find the total profit, we need to determine how much one part is worth. Since F's profit is 4 parts, we can find the value of one part by dividing F's profit by 4: $28,000 / 4 = $7,000 per part.
Step 5: Now, to find the total profit, multiply the value of one part by the total number of parts: $7,000 * 7 = $49,000.

Ratio and Proportion – Understanding how to divide profits based on the investment ratio.
Profit Calculation – Calculating total profit based on individual shares of profit.