Math Problem Statement

Can you tell the answer?

If a total of 1200 kg of fruits were sold in a day, calculate the amount of bananas sold (in kg). Find the difference between sales of grapes and oranges.

Solution

Let's solve the given problem step by step:

(i) Calculate the amount of bananas sold (in kg).

From the pie chart:

  • 30% of the fruits sold are bananas.
  • Total fruits sold = 1200 kg.

To find the amount of bananas sold: Amount of bananas=30100×1200=360kg\text{Amount of bananas} = \frac{30}{100} \times 1200 = 360 \, \text{kg}

So, 360 kg of bananas were sold.


(ii) Find the difference between the sales of grapes and oranges.

From the pie chart:

  • Grapes sales = 10%
  • Oranges sales = 15%

Now, let's calculate the amount sold for each:

  • Amount of grapes sold: Amount of grapes=10100×1200=120kg\text{Amount of grapes} = \frac{10}{100} \times 1200 = 120 \, \text{kg}
  • Amount of oranges sold: Amount of oranges=15100×1200=180kg\text{Amount of oranges} = \frac{15}{100} \times 1200 = 180 \, \text{kg}

The difference between the sales of grapes and oranges: Difference=180kg120kg=60kg\text{Difference} = 180 \, \text{kg} - 120 \, \text{kg} = 60 \, \text{kg}

So, the difference is 60 kg.


Would you like further details or have any questions?

Here are 5 related questions for you:

  1. How much of the total fruits sold were apples?
  2. What percentage of fruits were sold as "others"?
  3. If the total fruits sold were increased to 1500 kg, how much of each fruit would be sold?
  4. What is the combined amount of apples and oranges sold?
  5. What percentage of fruits other than bananas were sold?

Tip: In percentage problems, always convert percentages to decimals by dividing by 100 before multiplying with the total.

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Math Problem Analysis

Mathematical Concepts

Percentages
Subtraction

Formulas

Amount of fruit sold = (Percentage / 100) * Total
Difference in sales = Sales of Oranges - Sales of Grapes

Theorems

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Suitable Grade Level

Grades 5-7