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Questions and Answers
What is 20% of ₹80?
What is 20% of ₹80?
If a school has 200 students with 120 boys, what is the percentage of girls in the school?
If a school has 200 students with 120 boys, what is the percentage of girls in the school?
How do you express 10 minutes as a percentage of an hour?
How do you express 10 minutes as a percentage of an hour?
A shop gave a discount of ₹200 on an item originally priced at ₹1000. What is the percentage discount?
A shop gave a discount of ₹200 on an item originally priced at ₹1000. What is the percentage discount?
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If a village has 60% women and there are 400 men, what is the total population of the village?
If a village has 60% women and there are 400 men, what is the total population of the village?
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Study Notes
Calculations and Percentages
- Finding percentages: To find a percentage of a value, multiply the value by the percentage divided by 100
- Example: 35% of ₹1000 is ₹350 (1000 x 35 / 100)
- Finding the remaining balance: Subtract the calculated percentage from the original value
- Example: Remaining balance after ₹350 spent from ₹1000 is ₹650 (1000 - 350)
Exercise 12.2 - Finding Percentage
- Percentage of money: Calculating the percentage of a given amount of money.
- Example: 20% of ₹80 is ₹16 (80 x 20 / 100)
Exercise 12.2 - Finding values
- Percentage of lengths: Calculating a percentage of a given length.
- Example: 25% of 440m is 110m (440 x 25 / 100)
Exercise 12.2 - Finding Ratios
- Finding percentage of items: Calculating the percentage of items in a given collection
- Example: 10% of 840 books is 84 books (840 x 10/100)
Exercise 12.2 - Finding Time Ratios
- Finding time ratios: Calculating the percentage of time as shown in minutes or hours
- Example: 10 minutes is 16.67% of 1 hour (10 minutes/60 minutes * 100)
Exercise 12.2 - Finding Discounts and Total Costs
- Discounts: Calculating discounts on items based on percentage of the total cost.
Finding Losses and Gains
- Loss calculation: Determines the amount of loss based on calculations
- Example: If the cost price is ₹160 and the selling price is ₹150, then the loss is ₹10 (160-150)
Exercise- Different Calculations and Problems
- Problem Example 1: Rahul bought an item for ₹1000 and sold it for ₹900. Calculate the loss percentage.
- Problem Example 2: Ganesh purchased a bicycle for ₹150 and sold it for ₹160. Determine the profit percentage.
Additional Problems
- Problem Example 3: A crate of 90 bottles had 18 broken bottles. What percentage of the bottles were intact?
- Problem Example 4: A school has 2800 students where 1000 are boys. Calculate the percentage of girls.
- Problem Example 5: If 45% of a village are women and the number of men is 1100, find the total population of the village.
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Description
This quiz focuses on calculating percentages across various contexts including money, lengths, and items. It covers examples of how to find a percentage, remaining balances, and ratios. Students will apply their understanding of percentages to solve practical problems.
