Firm A experiences a 10% decrease in sales in July and a 15% increase in sales in August. In September, sales increased by 300% of the difference between the firm's July sales and its August sales. What is the overall percent increase in sales from the end of June to the end of September?A) 12B) 13C) 15D) 17E) 18
Question
Firm A experiences a 10% decrease in sales in July and a 15% increase in sales in August. In September, sales increased by 300% of the difference between the firm's July sales and its August sales. What is the overall percent increase in sales from the end of June to the end of September?A) 12B) 13C) 15D) 17E) 18
Solution
To solve this problem, we need to make some assumptions because the problem does not provide actual sales figures. Let's assume that the firm's sales at the end of June were $100.
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In July, the firm experiences a 10% decrease in sales. This means the sales in July were 100 = $90.
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In August, the firm experiences a 15% increase in sales. This means the sales in August were 90 = $103.5.
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The difference between the firm's July sales and its August sales is 90 = $13.5.
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In September, sales increased by 300% of this difference. So the increase in sales in September is 300% of 40.5.
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Therefore, the sales at the end of September were 40.5 = $144.
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The overall percent increase in sales from the end of June to the end of September is therefore ((100) / $100) * 100% = 44%.
However, none of the options (A) 12, (B) 13, (C) 15, (D) 17, (E) 18 match this result. There might be a mistake in the problem or the provided options.
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