Download Comparing Quantities PDF, Class 7 Worksheet – Worksheet for Class 7 Maths – Download PDF
In this worksheet for class 7 maths, we have questions from “Comparing quantities”. This worksheet covers all important concepts from chapter 8. It gives you an overall idea and covers all important formulae by applying them. This worksheet makes your exam ready. By attempting this worksheet with timebound will give you the best preparedness for the exam. This NCERT worksheet has some reallife examples where you apply these concepts. The completion of this worksheet will make students grasp the following:
 What do you mean by comparing quantities?
 What is the formula for comparing quantities?
 What do you mean by the selling price and cost price?
1.What do you mean by comparing quantities?
Ans. Every time we have two quantities having the same unit, we can compare them. For example, if we have 2kg of apples in one basket and 5 kg in another, we can compare the number of apples, right? Because the unit of measurement, i.e., kg, is the same for both baskets of apples. Similarly, if we were to compare 1 kg of apples with 3 kg of oranges, we could again compare them and find out which one is heavier, which one has more products, etc.
However, if we were to compare one bucket of water and one basket of apples, we would be unable to compare them because the unit of measurement for water is liters, while for apples, it is kg.
Hence, to compare two quantities:
 They must have identical units.
 When two ratios get converted into like fractions, we can compare them.
 We say that the two specified ratios are comparable if the two fractions are equal.
2.What is the formula for comparing quantities?
Units must be the same for two quantities to get compared. The four quantities are said to be in proportion if the two ratios are equal.
a:b = c:d
Or
a:b :: c:d
By multiplying decimal numbers by 100, moving the decimal point two spaces to the right, and writing the percent sign, decimal numbers may get transformed into percentages.
3. What do you mean by the selling price and cost price?
Cost price (CP): It is the price we pay to purchase an item.
Selling Price (SP): SP stands for selling price, the price at which an object gets sold.
By having the CP and SP of a given product, we can calculate its profit by simply calculating the difference between the SP and the CP. If SP>CP, the seller made a profit and vice versa.
Calculate the profit (or loss) for the following. Also, find profit % (or loss %) in each case.

 A chair’s cost price is ₹ 350, and the selling price is ₹ 475.
 A television’s cost price is ₹ 15,000, and the selling price is ₹ 17,500.
 In each case, convert the ratio to percentage:
 5:2
 1:4:5
 The city’s population decreased from 33,000 to 31,500. Calculate the percentage decrease.
Comparing Quantities Class 7 Worksheet
 ANSWER1. Given That, Cost price of chair = ₹ 350Selling price of chair = ₹ 475Since (SP) > (CP),
Then there is a profit
Such that
Profit = (SP) – (CP)
= ₹ (475 – 350)
= ₹ 125
Profit % = [{Profit/CP} × 100]
= [{125/350} × 100]
= [{5/14} × 100]
= 500/14
= 35.7%
2. Given that, Cost price of television = ₹ 15,000
Selling price of television = ₹ 17,500
Since (SP) > (CP),
Then there is a profit
Such that
Profit = (SP) – (CP)
= ₹ (17,500 – 15,000)
= ₹ 2500
Profit % = [{Profit/CP} × 100]
= {(2500/15000) × 100}
= {250000/15000}
= 250/15
= 17.8%
3. (1) To find total parts, Add the given ratio
Such that
5 + 2 = 7
1st part: 5/7 *100 = 71.42%
2nd part:2/7 *100 = 28.58%
3.(2) We have to find total parts by adding the given ratio = 1 + 4 + 5 = 10
 1st part:1/10*100 = 10%2nd part:4/10*100 = 40%3rd part:5/10*100 = 50%4. Given that
Initial population = 33,000
Final population = 31,500
Population decrease = Initial population – Final population
= 33,000 – 31,500
= 1,500
Then,
Percentage decrease in population = [population decrease/Initial population] × 100
= [1500/33000] × 100
= [150000/33000]
= 150/33
= 4.55%
Mathematics Worksheet : Comparing Quantities CLASS 7Worksheet Chapter 8 Questions & Answers
Q.1. Find the ratio of 400 km to 40000 m.
Q.2. If ten buckets cost Rs. 100, what would be the cost of 6 such buckets?
Q.3. Convert the following into percentage
a) 14/16 b) 0.15 c) 4.5Q.4. A shop has 300 parts out of which 5 are defective. What percent are defective?
Q.5. If Ram’s salary is Rs. 40,000 per month, Ram spends 20% of his salary for helping the poor. How much salary does he spend for helping poor people?
Q.6. If 5% of children in a class of 40 like getting wet in rain :
how many children like getting wet in rain?Q.7. Find the whole quantity if
a) 50% of it is 14 b) 25% of it is 25
Q.8. If three angles of a triangle are in the ratio 3:4:5, find the value of each angle.
Q.9. If the marks of Mohit in an exam increased from 250 to 30, find the percentage increase.
Q.10. If the price of a shirt decreased from Rs.700 to Rs.50, find the percentage decrease.
Q.11. A shopkeeper bought a table for Rs. 375 and sold it for Rs. 400, find his gain or loss percent.
Q.12. An item was sold for Rs.440 at a loss of 10%, what was its cost price?
Q.13. If you have Rs. 2400 in your account and the interest rate is 5% after how many years would you earn Rs.240 as interest?
Q.14. On a certain sum of money, the simple interest paid after 5 years is Rs. 450 at a 5% rate of interest per annum. Find the sum.
Click, and practice NCERT class 7 maths Integers questions To find total parts
Worksheet for Class 7 Maths – Download PDF
Answers
1. 10:1
2. 60
3.
A. 87.5%
B. 15%
C. 450%
4. 1.66%
5. Rs. 8000
6. 2 students
7.
A. 28
B. 100
8. 45°, 60°, 75°
9. 20%
10. 28.57%
11. 6.66%
12. Rs. 448.89
13. 2 years
14. Rs. 3000
Download class 7 maths worksheet PDF of Comparing quantities
Enroll today & Get Free Demo Class!
Tag – Comparing quantities / Comparing quantities Worksheet / Comparing quantities Maths Worksheet Class 7 / Maths worksheet / online maths worksheet for class 7 / NCERT Solutions for Class 7 Maths / Download Comparing Quantities Class 7 Worksheet / Comparing Quantities Class 7 Worksheet Pdf
0 responses on "Download Comparing Quantities Class 7 Worksheet  Worksheet for CBSE Class 7 Maths PDF"