Worksheet 1
Comparing Quantities (Class 7 CBSE)
1. Fill in the blanks:
a. The ratio of 50 to 200 is ____.
b. 25% of 600 is ____.
c. 75 is ____% of 150.
d. A fraction can be expressed as a ____ by multiplying it by 100.
2. True or False:
a. 50% is equal to 1/2.
b. A discount of 10% on ₹500 reduces the price to ₹400.
c. A ratio can always be expressed as a fraction.
d. If the cost price is ₹100 and the selling price is ₹120, the profit is 20%.
3. Solve the following problems:
Basic Questions:
Find the ratio of 15 kg to 45 kg.
Convert the following percentages to fractions: a. 20% b. 65%
Convert the following fractions to percentages: a. 3/5 b. 7/20
Word Problems:
A shopkeeper buys a pen for ₹60 and sells it for ₹80. Find the profit percentage.
If 40% of a number is 120, find the number.
A student scored 75 marks out of 100 in Math and 60 marks out of 80 in Science. In which subject did the student perform better in percentage terms?
4. Discount and Profit/Loss Problems:
A shirt marked at ₹500 is sold at a discount of 20%. Find the selling price.
A table is bought for ₹5000 and sold for ₹4500. Find the percentage of loss.
5. Compound Interest:
Find the simple interest and amount for the following:
Principal: ₹10,000, Rate: 5% per annum, Time: 3 years.
Find the compound interest on ₹6000 at 10% per annum for 2 years (compounded annually).
6. Higher-Order Thinking Skills (HOTS):
A student saves 20% of their monthly allowance of ₹2000. If the allowance increases by 10%, how much will the student save?
The population of a town increases by 5% annually. If the current population is 20,000, find the population after 2 years.
