Ratio and Proportion for SSC GD | Concepts & Practice

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 GD: 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 GD 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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Topic-wise practice built around this concept
Accuracy-focused repetition before full mocks
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Faster transition into timed tests

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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: In a Ratio and Proportion practice set, a student answers 18 questions correctly out of 24. What percentage is correct?

Solution: Correct percentage = 18/24 x 100 = 75%.

The incomes of A and B are in the ratio 9:7. If A earns Rs. 4000 more than B, what is B's income?
If a:b=4:7 and b:c=14:15, what is a:c?
If p:q=5:8 and q:r=12:7, what is p:r?

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

12

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.

Free now: first 10 questions Premium later: full solutions, advanced tricks, targeted practice

Q1 Medium

If a:b=7:9 and b:c=3:5, what is a:c?