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

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Summary Formula Tricks Mistakes Solved Example Practice FAQ

Partnership revision for SSC CHSL: 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 CHSL 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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Practice example: A and B invest Rs. 5000 and Rs. 7000 respectively for the same period. If the total profit is Rs. 3600, what is B's share?

Solution: B's share is Rs. 2100.

In a Partnership practice set, a student answers 18 questions correctly out of 24. What percentage is correct?
A and B invest Rs. 9000 and Rs. 6000 for the same period. If the total profit is Rs. 5000, what is B's share?
A and B invest money in the ratio 4:5 for the same period. If the total profit is Rs. 5400, what is B's share?

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

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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 Easy

A and B invest Rs. 5000 and Rs. 7000 respectively for the same period. If the total profit is Rs. 3600, what is B's share?

Concept type: Profit sharing by capital and time Shortcut used: Compare partners using capital x time, then divide profit in that ratio. Quick hint: If investment periods are equal, profit ratio follows the capital ratio directly.

Quick idea: B's share is Rs. 2100.

Solve

Q2 Easy

A and B invest Rs. 9000 and Rs. 6000 for the same period. If the total profit is Rs. 5000, what is B's share?

Concept type: Profit sharing by capital and time Shortcut used: Compare partners using capital x time, then divide profit in that ratio. Quick hint: If investment periods are equal, profit ratio follows the capital ratio directly.

Quick idea: B's share is Rs. 2000.

Solve

Q3 Easy

A and B invest money in the ratio 4:5 for the same period. If the total profit is Rs. 5400, what is B's share?

Concept type: Profit sharing by capital and time Shortcut used: Compare partners using capital x time, then divide profit in that ratio. Quick hint: If investment periods are equal, profit ratio follows the capital ratio directly.

Quick idea: B's share is Rs. 3000.

Solve

Q4 Easy

In a Partnership practice set, a student answers 18 questions correctly out of 24. What percentage is correct?

Concept type: Profit sharing by capital and time Shortcut used: Compare partners using capital x time, then divide profit in that ratio. Quick hint: If investment periods are equal, profit ratio follows the capital ratio directly.

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

Solve

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