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?
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?
Solution
To solve this problem, we need to make some assumptions because we don't have the actual sales figures. Let's assume that the sales in June were 100 units.
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In July, the sales decreased by 10%. So, the sales in July were 90 units (100 - 10% of 100).
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In August, the sales increased by 15%. So, the sales in August were 103.5 units (90 + 15% of 90).
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The difference between the sales in July and August is 13.5 units (103.5 - 90).
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In September, the sales increased by 300% of this difference. So, the increase in sales was 40.5 units (300% of 13.5).
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Therefore, the sales in September were 144 units (103.5 + 40.5).
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The overall increase in sales from the end of June to the end of September is 44% (144 - 100 = 44).
So, the overall percent increase in sales from the end of June to the end of September is 44%.
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