Quantitative Aptitude SSC GD, SSC quantitative aptitude Free access now

Profit and Loss for SSC GD | Concepts & Practice | SSC GD Quantitative Aptitude

Build Profit and Loss accuracy for SSC GD with concept clarity, key relations, exam-speed methods and approved practice.

Tailored for SSC GD Quantitative Aptitude. 8 active practice questions. Related topics: Percentage, Simple Interest, Compound Interest.

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Why students use this page

Learn the shortcut first, then solve with less confusion

This page is built to show the shortcut, the trap, and the faster solving route before you start clicking through questions.

Learn the shortcut

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

Avoid common traps

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Solve faster in exam

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

Quick Summary Free

Profit and Loss at a glance

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

Concept

Core idea

Profit and Loss compares selling price with cost price. Profit or loss percentage normally uses cost price as the base, while discount uses marked price.

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

Short Notes

Fast revision notes

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

Revision

Last-minute points

  • Core concept
  • Key formula/relation
  • Common trap
  • Approved practice
Formula Box Free

Formula / key facts

  • Profit = SP-CP
  • Loss = CP-SP
  • Profit% = Profit/CP ×100
  • Loss% = Loss/CP ×100
Shortcut Zone Free

Tricks / shortcuts

At p% profit, SP:CP=(100+p):100. At p% loss, SP:CP=(100-p):100.

Memory Trick

Remember faster

At p% profit, SP:CP=(100+p):100. At p% loss, SP:CP=(100-p):100.

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Exam Tips

How to score with this topic

  • 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.
Mistakes

Common traps to avoid

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

Step-by-step example

Practice example: A shopkeeper buys an article for Rs. 800 and sells it for Rs. 920. Find the profit percentage.

Solution: Profit = 920 - 800 = Rs. 120. Profit% = 120/800 x 100 = 15%.

Practice Preview

Before you solve

  1. An article marked at Rs. 1600 is sold at a discount of 12.5%. If its cost price is Rs. 1250, what is the profit percentage?
  2. An article is sold for Rs. 1840 after an 8% loss. What was its cost price?
  3. An article is marked 25% above cost price and sold at a 12% discount on marked price. What is the profit percentage?
Learn the shortcut first

Shortcut before you solve

Do not jump into percentages until the basic amount relation is clear.

Featured shortcut

Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else.

Exam-use rule

Profit = SP - CP and Profit% = Profit / CP x 100.

Use this in 3 seconds

Find the difference first, then convert it into percentage only if asked.

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

Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else.

Tip: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Real exam shortcut before you solve

An item is bought for Rs. 400 and sold for Rs. 460. What is the profit?

Step 1

CP = 400 and SP = 460.

Step 2

Profit = 460 - 400 = 60.

Rule

Profit = SP - CP and Profit% = Profit / CP x 100.

3-second trick

Find the difference first, then convert it into percentage only if asked.

Trap to avoid

Do not use SP in the denominator when calculating profit percentage.

Correct answer

Rs. 60

Worked example

An item is bought for Rs. 400 and sold for Rs. 460. What is the profit?

Thinking path
  • The first job is to identify CP and SP correctly.
  • The difference gives the profit amount directly.
  • Percentage is a second step only when required.

Final answer: Rs. 60

Why this is fast: Separating amount and percentage avoids formula confusion.

Free now: first 10 questions Premium later: full solutions, advanced tricks, targeted practice
Q1 Easy

An article costing Rs. 2500 is sold at a profit of 18%. Find the selling price.

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: The selling price is Rs. 2950.
Q2 Medium

An article is marked 30% above cost price and sold at a discount of 10% on marked price. What is the profit percentage?

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: The profit percentage is 17%.
Q3 Easy

A shopkeeper buys an article for Rs. 1500 and sells it for Rs. 1710. What is the profit percentage?

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: The profit percentage is 14%.
Q4 Easy

An article costing Rs. 2400 is sold for Rs. 2760. What is the profit percentage?

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: The profit percentage is 15%.
Q5 Medium

An article is marked 25% above cost price and sold at a 12% discount on marked price. What is the profit percentage?

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: The profit percentage is 10%.
Q6 Medium

An article is sold for Rs. 1840 after an 8% loss. What was its cost price?

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: The cost price was Rs. 2000.
Q7 Medium

An article marked at Rs. 1600 is sold at a discount of 12.5%. If its cost price is Rs. 1250, what is the profit percentage?

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: The profit percentage is 12%.
Q8 Easy

A shopkeeper buys an article for Rs. 800 and sells it for Rs. 920. Find the profit percentage.

Concept type: Profit and loss from CP and SP Shortcut used: Write CP and SP first, then use Profit = SP - CP or Loss = CP - SP before anything else. Quick hint: If SP is more than CP, it is profit. If SP is less than CP, it is loss.
Quick idea: Profit = 920 - 800 = Rs. 120. Profit% = 120/800 x 100 = 15%.
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FAQ

Frequently asked questions

How should I revise Profit and Loss for SSC GD?

Revise the core relation, solve one worked example, then attempt a short timed practice set.

Are these official PYQs?

No. Practice questions are labelled from ExamPrepWay's approved original/practice bank unless a verified official source is explicitly shown.