A store sold a Brand A computer for 3 × as much as it sold a Brand B computer. The store's gross profit on the Brand A computer was 80 percent of the price that the store paid for the Brand A computer, and the store's gross profit on the Brand B computer was 20 percent of the price that the store paid for the Brand B computer. The store's total gross profit on the two computers was what percent of the total amount that the store paid for the two computers?
60%
To solve the problem, we need to calculate the total gross profit from both computers and express it as a percentage of the total amount paid for them. Given the relationships between the prices and profits of Brand A and Brand B, we find that the total gross profit is 60% of the total cost.
This percentage underestimates the total gross profit calculated from the sales of both computers. To achieve a gross profit of 35%, the profit margins and cost relationships would need to be significantly different, which is not supported by the given data.
A gross profit of 40% does not accurately reflect the profit margins described in the problem. The calculations reveal that the profit from Brand A and Brand B combined exceeds this percentage, indicating that 40% is too low.
Although 45% is closer to the expected total gross profit, it still falls short of the computed value. The specific profit margins on both computers lead to a greater total gross profit than this option suggests.
Choosing 50% also does not align with the calculated total gross profit. The relationships indicated between the prices and profit margins suggest that the gross profit percentage should be higher than 50%, thus making this choice incorrect.
This percentage accurately represents the total gross profit as a fraction of the total cost paid for both computers. The profit margins of 80% on Brand A and 20% on Brand B yield a combined gross profit that precisely aligns with this percentage.
Through careful analysis of the prices and profit margins of Brand A and Brand B, we find that the total gross profit is indeed 60% of the total amount paid for both computers. This conclusion highlights the effective application of ratio and percentage concepts in solving profit-related problems in retail.
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