Comparing Quantities Class 7 Worksheet — Free PDF Download with Answers

If there is one chapter in Class 7 that shows up in everyday life, it is comparing quantities. From the discount on a new pair of shoes to the interest on a piggy bank deposit, children start seeing these maths ideas everywhere. That is precisely why learning them well matters, and why practising them on paper beats only tapping on a screen.

A parent asked me last month why her son could not calculate a simple shop discount even though he scored full marks on his percentages app. My answer was simple: the app gave him the numbers in the right format. In real life, and on exam papers, the numbers come wrapped inside a story. The student must first understand the story, extract the right numbers, and then apply the correct method. Worksheets teach exactly that skill because every question is presented in full paragraph form.

There is also the matter of layout. Percentage and profit loss questions usually have multiple steps. Students who practise on paper learn to write each step neatly and show their working. That matters because exam markers award marks for method, not just the final answer.

Worksheets also avoid the temptation to reach for a calculator. Class 7 exams do not allow calculators, so a student who relies on tap to calculate will struggle. Paper work forces mental maths and written long division, both of which are exam essentials.

And of course, practising on paper gives a break from the screen. For young students already spending hours on devices, paper is kinder to the eyes.

The worksheet covers every topic in the Class 7 Comparing Quantities chapter across all three boards.

Sub topics:

* Ratio and equivalent ratios
* Proportion
* Unitary method
* Percentage as a fraction and decimal
* Converting between percentage, fraction and decimal
* Percentage increase and decrease
* Simple profit and loss
* Introduction to simple interest

Level breakdown:

Total 60 questions. Question types include MCQ, fill in the blanks and word problems. Answer key is included.

Revise these key formulas and ideas before starting.

* Ratio — A comparison of two quantities by division. Written as $a : b$ or $\dfrac{a}{b}$.
* Equivalent ratios — Ratios that represent the same comparison. $2 : 3 = 4 : 6 = 6 : 9$.
* Proportion — Four numbers $a, b, c, d$ are in proportion if $a : b = c : d$. Written as $a : b :: c : d$.
* Cross product rule — In a proportion $\dfrac{a}{b} = \dfrac{c}{d}$, we have $ad = bc$.
* Percentage — A ratio expressed out of 100. $25\% = \dfrac{25}{100} = \dfrac{1}{4}$.
* Percentage of a quantity — $x\%$ of $N = \dfrac{x}{100} \times N$.
* Percentage increase — $\dfrac{\text{Increase}}{\text{Original}} \times 100\%$.
* Profit — Selling price minus cost price, when SP $>$ CP. Profit $\% = \dfrac{\text{Profit}}{\text{CP}} \times 100\%$.
* Loss — Cost price minus selling price, when CP $>$ SP. Loss $\% = \dfrac{\text{Loss}}{\text{CP}} \times 100\%$.

Quick tip: Always check whether the percentage is calculated on the cost price or the selling price. Mistakes usually come from using the wrong base.

Level 1 — Easy

1. Convert $\dfrac{3}{5}$ to a percentage.
Solution: $\dfrac{3}{5} \times 100 = 60\%$.

2. Find $20\%$ of $150$.
Solution: $\dfrac{20}{100} \times 150 = 30$.

3. Simplify the ratio $12 : 18$.
Solution: Divide both by HCF $6$. Ratio is $2 : 3$.

Level 2 — Medium

1. If $5$ pens cost Rs. 75, what is the cost of $8$ pens?
Solution: Cost of one pen is $\dfrac{75}{5} = 15$. Cost of $8$ pens is $8 \times 15 = 120$.

2. A quantity increases from $80$ to $100$. Find the percentage increase.
Solution: Increase is $20$. Percentage increase $= \dfrac{20}{80} \times 100 = 25\%$.

3. A shopkeeper buys a book for Rs. 150 and sells it for Rs. 180. Find his profit percentage.
Solution: Profit $= 180 - 150 = 30$. Profit $\% = \dfrac{30}{150} \times 100 = 20\%$.

Level 3 — Hard

1. The ratio of boys to girls in a school is $5 : 4$. If there are $270$ students in total, how many are girls?
Solution: Total parts is $9$. Each part is $\dfrac{270}{9} = 30$. Girls $= 4 \times 30 = 120$.

2. A shop gives a discount of $15\%$ on an item marked Rs. 800. Find the selling price.
Solution: Discount $= \dfrac{15}{100} \times 800 = 120$. SP $= 800 - 120 = 680$.

3. The salary of a person increased from Rs. 25,000 to Rs. 30,000. What is the percentage increase?
Solution: Increase $= 5000$. Percentage $= \dfrac{5000}{25000} \times 100 = 20\%$.

1. Print — Use A4 paper and a pen.
2. Warm up — Practise five quick percentage conversions mentally, like $25\%$ of $40$.
3. Time yourself — 20 minutes for Level 1, 30 for Level 2, 35 for Level 3.
4. Check answers — Use the answer key.
5. Revise mistakes — For every wrong answer, write the formula and steps used.
6. Try again — Redo wrong questions next day.

Daily plan: 25 minutes per day for two weeks.

Weekly revision: Each Saturday, solve five word problems at random. Word problems are the hardest part of this chapter.

1. Forgetting to convert units — Comparing $1$ kg and $500$ g as $1 : 500$ instead of $1000 : 500 = 2 : 1$.

2. Using the wrong base for percentage — Calculating profit percent on the selling price instead of the cost price.

3. Multiplying instead of dividing — Unitary method confusion. If $5$ pens cost $75$, one pen costs $75 \div 5$, not $75 \times 5$.

4. Decimal errors — Writing $0.25$ as $25\%$ is fine, but $0.025$ is $2.5\%$, not $25\%$.

5. Not simplifying ratios — Leaving the ratio as $10 : 15$ instead of $2 : 3$ costs method marks.

6. Mixing up increase and decrease — Writing the increase as a decrease or vice versa because of a rushed read of the question.

CBSE (NCERT)
Comparing Quantities is Chapter 7 of NCERT Class 7 maths. It covers ratio, percentage, profit and loss and simple interest at an introductory level. Weightage is around 12 marks.

ICSE (Selina / ML Aggarwal)
ICSE splits this into several chapters: Ratio and Proportion, Percentage, Profit Loss and Discount, and Simple Interest. Each is treated in more depth than CBSE. Total weightage across these chapters is around 20 to 25 marks.

IB MYP
IB MYP handles comparing quantities under the topic Proportional Reasoning. Students solve problems in real world contexts like recipes, speed and distance, shopping.

Download your free Class 7 Comparing Quantities worksheet:

* Ratio and Proportion ICSE Worksheet
* Percentage ICSE Worksheet
* Percentages IB Worksheet

Online practice:

* Ratio and Proportion Online — ICSE
* Percentage Online — ICSE

* AI Maths Solver — Photograph any percentage problem for a step by step solution.
* Spark Coach — AI tutor with hints.
* Class 7 Maths Complete Guide
* All Worksheets Hub
* Class 7 Formulas

Week 1: Ratios and percentages

* Day 1: Revise ratios and proportion from Class 6.
* Day 2: Level 1 questions 1 to 10.
* Day 3: Level 1 questions 11 to 20.
* Day 4: Level 2 questions 1 to 10 (unitary method, percentages).
* Day 5: Level 2 questions 11 to 20.
* Day 6: Redo wrong answers.
* Day 7: Rest.

Week 2: Profit loss and applications

* Day 8: Level 3 questions 1 to 10.
* Day 9: Level 3 questions 11 to 20.
* Day 10: Redo wrong Level 3 answers.
* Day 11: Real world practice — calculate discounts on a shopping list.
* Day 12: Mixed quiz.
* Day 13: Mock test (45 minutes).
* Day 14: Review.

* Class 7 Percentage, Profit and Loss Worksheet
* Class 7 Simple Interest Worksheet
* Class 7 Fractions and Decimals Worksheet
* Class 7 Rational Numbers Worksheet
* Class 7 Maths Complete Guide