The pie chart below shows the annual salary by Mr. and Mrs. Ats from a joint account.
If $15 \%$ of the salary was spent on rent:
1. What percentage was spent on food?
Food $= \frac{108^{\circ}}{360^{\circ}} \times 100=\frac{1080}{36}=30=30$
$\therefore 30 \%$ was spent on ford
2. What percentage was spent on cos-1
Answer (1)
Calculate the percentage spent on food using the formula: 36 0 ∘ 10 8 ∘ × 100 = 30% .
Calculate the percentage spent on other costs by subtracting the percentages for rent and food from 100%: 100% − 15% − 30% = 55% .
The percentage spent on food is 30% .
The percentage spent on other costs is 55% .
Explanation
Understanding the Problem We are given a pie chart representing the annual salary distribution of Mr. and Mrs. Ats. We know that 15% of their salary is spent on rent. Our goal is to determine the percentage spent on food and the percentage spent on other costs (cos-1).
Calculating Percentage Spent on Food First, we need to calculate the percentage spent on food. The pie chart shows that the angle corresponding to food expenditure is 108 degrees. To find the percentage, we use the formula: Percentage = 36 0 ∘ Angle × 100 Substituting the given angle: Percentage = 36 0 ∘ 10 8 ∘ × 100 Percentage = 0.3 × 100 = 30 So, 30% of the salary is spent on food.
Calculating Percentage Spent on Other Costs Next, we need to find the percentage spent on other costs (cos-1). We know that the total percentage is 100%, and we have the percentages for rent (15%) and food (30%). Therefore, we can calculate the percentage for other costs by subtracting the percentages for rent and food from 100%: Other Costs Percentage = 100% − Rent Percentage − Food Percentage Other Costs Percentage = 100% − 15% − 30% = 55% So, 55% of the salary is spent on other costs.
Final Answer In conclusion, 30% of the salary is spent on food, and 55% of the salary is spent on other costs.
Examples
Understanding how to interpret pie charts and calculate percentages is useful in many real-life situations. For example, imagine you are managing a household budget. By tracking your expenses and representing them in a pie chart, you can easily visualize where your money is going. Knowing the percentage spent on different categories like housing, food, transportation, and entertainment helps you make informed decisions about your spending and identify areas where you can save money. This skill is also valuable in understanding financial reports, market research data, and other types of data visualization.
