Quantitative Aptitude SSC CHSL, SSC quantitative aptitude Free access now

Ratio and Proportion for SSC CHSL | Concepts & Practice | SSC CHSL Quantitative Aptitude

Build Ratio and Proportion accuracy for SSC CHSL with concept clarity, key relations, exam-speed methods and approved practice.

Tailored for SSC CHSL Quantitative Aptitude. 4 active practice questions. Related topics: Percentage, Profit and Loss, Simple Interest.

SSC CHSL approach: For SSC CHSL, this topic should become a recognition-first skill. The main objective is to identify the standard pattern quickly and apply a clean, dependable method without overcomplicating the question.

What to master: Master direct forms first, then practise common variations until the opening step becomes automatic. Accuracy and quick recognition matter more than using advanced shortcuts.

SSC CHSL focus:

Prioritise clear fundamentals, quick recognition, and reliable execution for SSC CHSL objective questions.

Attempt strategy: For SSC CHSL, identify the standard pattern quickly, use the simplest valid method, and avoid spending extra time on unnecessary algebra or calculation.

Revision path: CHSL revision: basic rule -> standard pattern -> short timed drill -> accuracy check.

SSC CHSL exam emphasis for Ratio and Proportion

CHSL emphasis: fundamentals, standard patterns, simple execution, and fast recall.

Most important error to avoid

Typical CHSL loss comes from hesitation, choosing a longer method than necessary, or forgetting the basic rule when the question is presented in a slightly different form.

SSC CHSL Ratio and Proportion — SSC CHSL study plan

Connect Ratio and Proportion to the objective-question workflow used in SSC CHSL: recognise the concept, choose a clean method, solve, and verify.

How to practise this topic

Use a short progression from direct examples to mixed timed practice, increasing complexity only after accuracy is stable.

Mistakes to remove before the next set

Classify each error as concept, reading, calculation, grammar, or time-management related and correct the exact cause before repeating the set.

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Learn the shortcut

Understand the fastest pattern for this topic before you attempt full MCQs.

Avoid common traps

See where students commonly lose marks so you can eliminate bad options earlier.

Solve faster in exam

Apply one practical method before attempting MCQs and cut down hesitation.

Summary Formula Tricks Mistakes Solved Example Practice FAQ

Ratio and Proportion revision for SSC CHSL: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Ratio compares quantities of the same kind; proportion states that two ratios are equal. Simplify ratios before using them and ensure quantities are in compatible units.

SSC CHSL focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Ratio and Proportion revision rule: concept → formula/relation → one worked example → timed practice → error review.

Core concept
Key formula/relation
Common trap
Approved practice

a:b = a/b
a:b = c:d ⇒ ad=bc
If total T is divided in a:b, shares are aT/(a+b) and bT/(a+b)

For chained ratios, equalise the common term before combining the ratios.

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SSC CHSL: Strengthen this concept with SSC CHSL-focused practice.

Solve topic-wise questions, measure accuracy, identify weak areas, and prepare for mock tests faster with a sharper revision flow.

Topic-wise practice built around this concept
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Practice Questions Login for free progress tracking

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You can start learning here right away, explore formulas and tricks, and use the current limited practice flow before premium tools arrive.

Read the exact requirement before choosing a shortcut.
Keep units, signs and percentage bases consistent.
Use the final few seconds to verify direction and magnitude.

Using a memorised shortcut without checking its condition.
Skipping unit or base conversion.
Doing long arithmetic before identifying the underlying relation.

Practice example: Two numbers are in the ratio 4:7 and their sum is 99. What is the smaller number?

Solution: The smaller number is 36.

Two quantities are in the ratio 3:5 and their total is 144. What is the smaller quantity?
In a Ratio and Proportion practice set, a student answers 18 questions correctly out of 24. What percentage is correct?
Two numbers are in the ratio 5:8 and their sum is 169. What is the smaller number?

Learn the shortcut first

Shortcut before you solve

Most ratio questions become shorter once you reduce both sides to the smallest form.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Reduce the ratio first, then scale both sides by the same multiplier.

Tip: If two ratios are proportional, their cross products are equal.

Step 1

3 : 5 means the second number is 4 times the first ratio part.

Step 2

Since 5 becomes 20, multiply 3 by 4 as well.

Rule

In proportion, both terms must be scaled by the same number.

3-second trick

See how one side changed, then apply the same multiplier to the matching term.

Trap to avoid

Do not change only one term of the ratio and leave the other unmatched.

Correct answer

Thinking path

5 becomes 20, so the multiplier is 4.
Multiply 3 by 4.
The missing value is 12.

Final answer: 12

Why this is fast: Scaling is faster than writing a full proportion equation every time.

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Q1 Easy

Two quantities are in the ratio 3:5 and their total is 144. What is the smaller quantity?

Concept type: Equivalent ratio comparison Shortcut used: Reduce the ratio first, then scale both sides by the same multiplier. Quick hint: If two ratios are proportional, their cross products are equal.

Quick idea: The smaller quantity is 54.

Solve

Q2 Easy

Two numbers are in the ratio 5:8 and their sum is 169. What is the smaller number?

Quick idea: The smaller number is 65.

Solve

Q3 Easy

Two numbers are in the ratio 7:9 and their sum is 128. What is the smaller number?

Quick idea: The smaller number is 56.

Solve

Q4 Easy

Two numbers are in the ratio 4:7 and their sum is 99. What is the smaller number?

Quick idea: The smaller number is 36.

Solve

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