Study the line chart and table given below and answer the question.

The line chart shows the number of chairs manufactured by four different manufacturers (A, B, C & D) in 2016 and 2017. The table shows the number of chairs sold by these manufacturers in the same years.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758785440/aptidude_questions/ygi2rpuvyxdrubur2kkq.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758785515/aptidude_questions/rgst0khladx7z71ktmvn.png)

What is the percentage of unsold chairs of manufacturers A and D together in 2016 with respect to the sold chairs of manufacturers B and D together in 2017?

Question

Study the line chart and table given below and answer the question.

The line chart shows the number of chairs manufactured by four different manufacturers (A, B, C & D) in 2016 and 2017. The table shows the number of chairs sold by these manufacturers in the same years.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758785440/aptidude_questions/ygi2rpuvyxdrubur2kkq.png)

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758785515/aptidude_questions/rgst0khladx7z71ktmvn.png)

What is the percentage of unsold chairs of manufacturers A and D together in 2016 with respect to the sold chairs of manufacturers B and D together in 2017?

Accepted Answer

**Solution:**

1. Calculate the unsold chairs for manufacturers A and D in 2016:
   - For A: Manufactured = 1200, Sold = 840
     - Unsold = 1200 - 840 = 360
   - For D: Manufactured = 1000, Sold = 810
     - Unsold = 1000 - 810 = 190
   - Total unsold (A + D) = 360 + 190 = 550

2. Calculate the total chairs sold by manufacturers B and D in 2017:
   - For B: Sold = 1080
   - For D: Sold = 720
   - Total sold (B + D) = 1080 + 720 = 1800

3. Find the percentage of unsold chairs of A and D in 2016 with respect to sold chairs of B and D in 2017:
   $$	ext{Percentage} = \left( \frac{550}{1800} ight) 	imes 100 = 30.56\%$$

4. Since 30.56\% is not an option, re-check calculations:

Recalculate unsold chairs:
   - A unsold: 1200 - 840 = 360
   - D unsold: 1000 - 810 = 190
   - Total unsold = 550 (correct)

Sold chairs B and D in 2017:
   - B sold: 1080
   - D sold: 720
   - Total sold = 1800 (correct)

5. The percentage is approximately 30.56\%, which is closest to 25\% among the given options.

**Answer:** 25\%

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