Class 8 Mathematics Worksheet: Comparing Quantities

1. Convert the following ratios to percentages: (a) 3:4 (b) 2:5 

2. If a shirt is marked at Rs. 1200 and sold at Rs. 960, find the discount percentage.

3. A sum of Rs. 15,000 is borrowed for 2 years at 10% per annum simple interest. Find the interest and the total amount to be paid. 

4. The population of a town increases from 50,000 to 60,000 in a year. Find the percentage increase in population. 

5. A school has 1200 students, and 30% of them are girls. How many boys are there in the school?

6. Find the compound interest on Rs. 10,000 for 2 years at 5% per annum compounded annually. 

7. The cost price of an article is Rs. 800. If it is sold at a profit of 15%, find the selling price. 

8. An article is sold for Rs. 990 after giving a 10% discount. Find the marked price of the article. 

9. Solve the following: (a) The ratio of income to savings is 5:1. If savings are Rs. 5,000, find the income. (b) A student scores 45 marks out of 60 in Mathematics. Find the percentage score.

10. A piece of land is sold at a loss of 20%. If the cost price is Rs. 2,50,000, find the selling price.

11. Rohan invests Rs. 15,000 at 8% per annum compounded annually. Find the amount after 3 years.

12. Find the ratio of 2 hours to 90 minutes. Also, express this ratio as a percentage.

13. A fruit seller buys apples at Rs. 100 per dozen and sells them at Rs. 10 each. Find his profit percentage.

14. If the principal is Rs. 20,000 and the simple interest for 3 years is Rs. 4,800, find the rate of interest.

15. A family spends 75% of its income on expenses. If the total income is Rs. 48,000, find the amount saved. 

16. The cost of an article increases from Rs. 800 to Rs. 920. Find the percentage increase. 

17. Divide Rs. 500 between A and B in the ratio 3:2.

18. If 12 workers can complete a task in 15 days, how many days will 9 workers take to complete the same task, assuming work efficiency is constant?