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Let's solve each of the questions provided based on the bar graph.

### Bar Graph Data:
The bar graph shows the sales of books (in thousands) from six branches (B1, B2, B3, B4, B5, B6) of a publishing company in the years 2000 and 2001. 

Here is a breakdown of the sales data for each branch in both years:

- **B1**: 2000 - 80, 2001 - 105
- **B2**: 2000 - 75, 2001 - 65
- **B3**: 2000 - 95, 2001 - 110
- **B4**: 2000 - 85, 2001 - 75
- **B5**: 2000 - 75, 2001 - 95
- **B6**: 2000 - 70, 2001 - 80

### Question Solutions:

#### **24. Ratio of total sales of branch B2 for both years to the total sales of branch B4 for both years?**

Total sales of **B2** (both years) = 75 + 65 = 140  
Total sales of **B4** (both years) = 85 + 75 = 160  

Ratio of B2 to B4 = 140 : 160 = 7 : 8

None of the provided options match exactly with 7:8, but the closest is **(D) 7:9**.

#### **25. Total sale of branch B6 for both years is what percent of the total sales of branches B3 for both years?**

Total sales of **B6** (both years) = 70 + 80 = 150  
Total sales of **B3** (both years) = 95 + 110 = 205  

Percentage = \(\left(\frac{150}{205}\right) \times 100\)  
Percentage ≈ 73.17%  

The correct answer is **(C) 73.17%**.

#### **26. What percent of the average sales of branches B1, B2, and B3 in 2001 is the average sales of branches B1, B3, and B6 in 2000?**

Average sales of **B1, B2, B3** in 2001 = \(\frac{105 + 65 + 110}{3} = \frac{280}{3} = 93.33\)  

Average sales of **B1, B3, B6** in 2000 = \(\frac{80 + 95 + 70}{3} = \frac{245}{3} = 81.67\)  

Percentage = \(\left(\frac{81.67}{93.33}\right) \times 100\)  
Percentage ≈ 87.5%  

The correct answer is **(A) 87.5%**.

#### **27. What is the average sale of all the branches (in thousand numbers) for the year 2000?**

Sum of sales for all branches in 2000 = 80 + 75 + 95 + 85 + 75 + 70 = 480  

Average sale in 2000 = \(\frac{480}{6} = 80\)  

The correct answer is **(B) 80**.

#### **28. A total sale of branches B1, B3, and B5 together for both the years (in thousand numbers) is?**

Total sales of **B1** for both years = 80 + 105 = 185  
Total sales of **B3** for both years = 95 + 110 = 205  
Total sales of **B5** for both years = 75 + 95 = 170  

Total = 185 + 205 + 170 = 560  

The correct answer is **(D) 560**.

#### **29. The percentage increase in the area of a rectangle, if each of its sides is increased by 20%:**

If each side increases by 20%, new side length = 1.2 times the original length.

Percentage increase in area = \((1.2 \times 1.2 - 1) \times 100 = (1.44 - 1) \times 100 = 44%\)

The correct answer is **(C) 44%**.

Would you like further details on any specific solution? 

### Related Questions:
1. What would be the new ratio if the sales in B2 for 2001 increased by 10%?
2. How would the average sales for all branches change if branch B1's sales in 2001 were reduced by 20,000?
3. If B3 and B4's sales for both years were combined, what would be their percentage contribution to the total sales of all branches?
4. What is the compound percentage increase if sales for branch B5 increased by 15% each year for two consecutive years?
5. How do the sales trends compare between branches B1 and B6 across the years?

### Tip:
To quickly find percentage changes, remember that \(\text{Percentage Change} = \left(\frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\right) \times 100\).

Bar graph showing sales of books from six branches of a publishing company during two consecutive years 2000 and 2001. Questions involve finding ratios, percentages, and averages.

Analyze the book sales of six branches from 2000-2001, solve problems involving ratios, percentages, and averages. Suitable for middle school students (Grades 6-8).

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