Explain these questions from with diagram and images or figure if possible in the video and write all step by step solution of each question in simplest way for class 8 child ---Here is the extraction of the content from the image:
**Question 23.**
On a particular day, the sales (in Rs) of different items of a Bakery are given below.
Table:
| Items | Ordinary Bread | Fruit Bread | Cakes and Pastries | Biscuits | Others | Total |
|-----------------|----------------|-------------|--------------------|----------|--------|-------|
| Sales (in Rs) | 260 | 40 | 100 | 60 | 20 | 480 |
Draw a pie-chart representing the above sales.
**Case Study**
**Question 24.**
The below pie chart shows the sale of different fruits in a day of a shop.
Chart Description:
Type: Pie chart.
Main elements:
- The pie chart is divided into five sectors representing different fruits and "Others".
- Each sector is labeled with the fruit name and its percentage of the total sale.
- Banana: 30% (Blue sector)
- Grapes: 10% (Red sector)
- Apple: 25% (Orange sector)
- Orange: 15% (Green sector)
- Others: 20% (Yellow sector)
- The total percentage adds up to 100%.
Answer the following questions based on the pie chart:
(i) If 1200 kg of fruits were sold in a day, how many kilograms of bananas were sold?
(ii) What is the difference in sales (in kg) between grapes and oranges?
(iii) (a) What is the central angle (in degrees) representing the sale of apples?
OR
(b) Calculate the total earnings from grapes if they are sold at the rate of ₹80 per kilogram.
**Question 25.**
A school is planning to build a fence around a rectangular garden. The length and breadth of the garden are in the ratio 5:2. The total cost of fencing the garden at ₹150 per metre amounts to ₹10,500.
(i) Find the perimeter of the rectangular garden.
(ii) Find the length and breadth of the garden.
(iii) (a) If the school wants to tile the garden at ₹200 per square metre, what would be the total cost?
OR
(b) If an additional 1 metre wide walking track is added around the garden, what will be the new perimeter?
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Welcome to Question 23! We need to create a pie chart for bakery sales data. A pie chart is a circular graph where each slice represents a portion of the total. The bakery sold items worth 480 rupees in total. We have ordinary bread for 260 rupees, fruit bread for 40 rupees, cakes and pastries for 100 rupees, biscuits for 60 rupees, and others for 20 rupees. To make a pie chart, we need to calculate the angle for each sector.
Now let's calculate the angle for each sector. The formula is: angle equals item sales divided by total sales, multiplied by 360 degrees. For ordinary bread: 260 divided by 480, times 360 equals 195 degrees. For fruit bread: 40 divided by 480, times 360 equals 30 degrees. For cakes and pastries: 100 divided by 480, times 360 equals 75 degrees. For biscuits: 60 divided by 480, times 360 equals 45 degrees. For others: 20 divided by 480, times 360 equals 15 degrees. Let's check: 195 plus 30 plus 75 plus 45 plus 15 equals 360 degrees. Perfect!
Now let's draw the actual pie chart. First, we draw a circle and mark the center. Then we create sectors using our calculated angles. Ordinary bread gets the largest sector with 195 degrees in blue. Fruit bread gets 30 degrees in red. Cakes and pastries get 75 degrees in green. Biscuits get 45 degrees in yellow. Others get the smallest sector with 15 degrees in orange. Each sector is labeled with its name and angle. This visual representation makes it easy to compare the sales of different items at a glance.
Now let's solve Question 24 about fruit sales. We have a pie chart showing different fruits sold in a shop. The total is 1200 kilograms. For part i, bananas are 30 percent of total sales. So 30 percent of 1200 equals 360 kilograms of bananas. For part ii, oranges are 15 percent which is 180 kilograms, and grapes are 10 percent which is 120 kilograms. The difference is 180 minus 120 equals 60 kilograms. For part iii a, apples represent 25 percent of the pie chart. The central angle is 25 percent of 360 degrees, which equals 90 degrees.
Finally, let's solve Question 25 about the rectangular garden. The length and breadth are in ratio 5 to 2. The fencing costs 150 rupees per meter with total cost 10,500 rupees. First, we find the perimeter by dividing total cost by cost per meter: 10,500 divided by 150 equals 70 meters. Next, let length be 5x and breadth be 2x. The perimeter formula gives us 2 times 5x plus 2x equals 14x equals 70. So x equals 5. Therefore, length is 25 meters and breadth is 10 meters. For the area, 25 times 10 equals 250 square meters. The tiling cost at 200 rupees per square meter would be 250 times 200 equals 50,000 rupees.