A and B invest in a business in the ratio 3:2. If A's share of profit is $600, w

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Question: A and B invest in a business in the ratio 3:2. If A\'s share of profit is $600, what is B\'s share?

Options:

Correct Answer: $400

Solution:

If A\'s share is $600 and the ratio is 3:2, then B\'s share is (2/3) * 600 = $400.

A and B invest in a business in the ratio 3:2. If A's share of profit is $600, what is B's share?

A and B invest in a business in the ratio 3:2. If A's share of profit is $600, what is B's share?

Step 1: Understand the ratio of investment between A and B, which is 3:2.
Step 2: This means for every 3 parts A gets, B gets 2 parts.
Step 3: Add the parts of the ratio together: 3 + 2 = 5 parts total.
Step 4: A's share of profit is given as $600.
Step 5: To find the value of one part, divide A's share by the number of parts A has: $600 / 3 = $200 per part.
Step 6: Now, calculate B's share by multiplying the value of one part by the number of parts B has: 2 parts * $200 = $400.
Step 7: Therefore, B's share of the profit is $400.

Ratio and Proportion – Understanding how to apply ratios to determine shares in a partnership.
Profit Sharing – Calculating individual shares of profit based on investment ratios.