A company manufactures and sells guitars. At start they had 20 models. Then they reduced the number of models to 15. As a result, the company enjoyed a 10% increase in turnover. 
 How much is the change stock level %


To determine the percentage change in the stock level, we first need to understand the relationship between the number of models and the stock level.

Here's the breakdown:

1. Initially, the company had 20 models.
2. They reduced the number of models to 15.
3. This reduction corresponds to a decrease in the number of models by 5 models.

**Step 1: Calculate the percentage reduction in the number of models.**

\[
\text{Percentage reduction in models} = \frac{\text{Reduction in models}}{\text{Initial number of models}} \times 100
\]

\[
\text{Percentage reduction in models} = \frac{20 - 15}{20} \times 100 = \frac{5}{20} \times 100 = 25\%
\]

So, the company reduced the number of models by 25%.

**Step 2: Analyze the impact on stock level.**

The problem suggests that the company enjoyed a 10% increase in turnover after reducing the number of models. However, without additional information linking the turnover directly to stock levels (such as an assumption that stock levels were directly proportional to the number of models), the direct percentage change in stock levels cannot be definitively calculated from the given information.

Therefore, based on the problem's context, if we assume that reducing the number of models by 25% directly correlates to a reduction in the overall stock level, the percentage change in the stock level would also be a **25% decrease**.

Let me know if you need further details or explanations!

### Follow-up Questions:
1. What is the relationship between stock levels and turnover?
2. How would an increase in turnover typically affect stock levels?
3. Could other factors influence the change in stock level aside from the number of models?
4. What assumptions can we make about the relationship between product variety and turnover?
5. Is there a linear relationship between the number of models and stock levels?
6. How does reducing the number of models typically affect production efficiency?
7. What role does market demand play in determining stock levels?
8. How can the company maintain the increased turnover while managing stock levels?

### Tip:
When analyzing changes in business metrics, consider how different factors (like product variety, demand, and production costs) might interact to affect overall outcomes.

Learn how to calculate the percentage change in stock levels after a company reduces the number of guitar models from 20 to 15. Understand the impact on business turnover and stock levels. Suitable for students and professionals interested in business mathematics and financial analysis.

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