Partnership for SSC CPO | Concepts & Practice | SSC CPO Quantitative Aptitude

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Avoid common traps

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Solve faster in exam

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

Summary Formula Tricks Mistakes Solved Example Practice FAQ

Partnership revision for SSC CPO: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Partnership divides profit or loss according to capital and the time for which that capital remains invested. The effective investment is capital × time.

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

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

Core concept
Key formula/relation
Common trap
Approved practice

Profit ratio = C₁T₁ : C₂T₂ : ...
Share = Total profit × individual ratio / sum of ratios

If all partners invest for the same time, time cancels and the ratio is simply their capitals.

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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: A invests Rs. 14000 for 10 months and B invests Rs. 10000 for 12 months. If total profit is Rs. 13000, what is B's share?

Solution: B's share is Rs. 6000.

A invests Rs. 12000 for 12 months. B joins after 3 months with Rs. 15000. If the annual profit is Rs. 17400, what is B's share?
A invests Rs. 15000 for 12 months. B joins after 4 months with Rs. 18000. If the total profit is Rs. 27000, what is B's share?
In a Partnership practice set, a student answers 18 questions correctly out of 24. What percentage is correct?

Learn the shortcut first

Shortcut before you solve

Partnership is a weighted-ratio problem based on money and duration.

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

Compare partners using capital x time, then divide profit in that ratio.

Tip: If investment periods are equal, profit ratio follows the capital ratio directly.

Step 1

A: 5000 x 12 = 60000.

Step 2

B: 10000 x 6 = 60000, so ratio = 1 : 1.

Rule

Profit share is proportional to capital multiplied by investment time.

3-second trick

Multiply money by months first, then simplify the ratio.

Trap to avoid

Do not compare capital alone when investment periods differ.

Correct answer

1 : 1

Thinking path

A invests less money for more time.
B invests more money for less time.
Their capital-time products are equal.

Final answer: 1 : 1

Why this is fast: Capital-time products convert the problem into one ratio.

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Q1 Medium

A invests Rs. 15000 for 12 months. B joins after 4 months with Rs. 18000. If the total profit is Rs. 27000, what is B's share?