Competitive Mathematics · Basic Math MCQs

Partnership & Profit Sharing MCQs for PPSC, FPSC & One-Paper Exams — 100 Fully Solved Questions

This Partnership & Profit Sharing MCQs resource contains 100 fully solved competitive-exam questions arranged for fast topic-wise revision. It focuses on capital ratio, capital × time, unequal investment periods, partner joining/leaving, three-partner sharing, then extends into capital changed during year, working partner salary, commission before sharing, loss sharing, reverse capital/time problems, mixed profit-sharing questions. Each question gives four options followed immediately by mathematical working, so a candidate can review both the correct answer and the shortest reliable route to it. It is intended for PPSC, FPSC, CSS MPT, PMS, NTS and other authentic one-paper/testing contexts only where the current examination actually includes the relevant mathematics.

Written and compiled by Rana Ali Hasan — MPhil Mathematics and Mehreen Kanwal — MPhil Mathematics.

100Fully solved MCQs
Topic 11Topic booklet
23A4 PDF pages
100 / 250MCQs per module
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Competitive Mathematics solved MCQs and preparation material poster
About this topic

Partnership & Profit Sharing MCQs in focused practice

This Partnership & Profit Sharing MCQs resource contains 100 fully solved competitive-exam questions arranged for fast topic-wise revision. It focuses on capital ratio, capital × time, unequal investment periods, partner joining/leaving, three-partner sharing, then extends into capital changed during year, working partner salary, commission before sharing, loss sharing, reverse capital/time problems, mixed profit-sharing questions. Each question gives four options followed immediately by mathematical working, so a candidate can review both the correct answer and the shortest reliable route to it. It is intended for PPSC, FPSC, CSS MPT, PMS, NTS and other authentic one-paper/testing contexts only where the current examination actually includes the relevant mathematics.

Why it matters

Recognise the structure before calculating

Partnership profit is shared in proportion to capital multiplied by the time that capital remains invested. In a timed paper, early recognition helps you select a reliable route and reserve attention for questions with more than one condition.

Use the booklet to connect the headline topic with its nearby forms: capital ratio, capital × time, unequal investment periods, partner joining/leaving, three-partner sharing, and the extended applications listed below.

What to practise

100 solved questions with immediate working

capital ratiocapital × timeunequal investment periodspartner joining/leavingthree-partner sharingcapital changed during yearworking partner salarycommission before sharingloss sharingreverse capital/time problemsmixed profit-sharing questions
Pattern map

From definition to exam-style decision

01

Identify the quantities

Write what is known, what is asked and which unit or base controls the relationship.

02

Choose the model

Use the relevant capital ratio, capital × time, unequal investment periods relationship before trying a shortcut.

03

Check the option

Substitute, estimate or reverse-check the result so a sign, unit or denominator error does not survive.

Representative formulas

Keep the dependable relations visible

Profit ratio = capital × time ratioPartner share = total profit × partner weight ÷ total weightAdjust the weight when capital changes during the year
Fast-solving principles

Shortcuts come after the setup

  • Build a capital-time table before sharing profit.
  • Separate salary or commission before applying the residual sharing ratio.
  • Use the reverse ratio when a partner's share is given.
Solution presentation

Read the working, not only the option

The PDF places the options before the mathematical working. Use each solution to identify the first decision: the base, rate, variable, diagram relation, sample space or unit conversion that makes the rest of the calculation dependable.

Common mistakes

Check these before finalising an answer

  • Using capital alone when investment periods differ
  • Sharing commission again as ordinary profit
  • Ignoring a partner's joining or leaving date
Evidence and boundaries

Use the official notice for the final paper pattern

Basic mathematics is common in screening and one-paper preparation, but the exact topics, marks and eligibility are post- and advertisement-specific. The Math Hub is an independent educational platform; it is not affiliated with PPSC, FPSC, CSS, PMS, NTS or any other testing body. Verify the latest official advertisement and syllabus for the post you are applying for.

Exam relevance

Match this topic to the advertised paper

Partnership & Profit Sharing MCQs may be useful for PPSC, FPSC, CSS MPT, PMS, NTS or another one-paper test only when the current official notice includes the relevant mathematics. The Math Hub does not claim an official commission affiliation, universal marks distribution or guaranteed appearance.

How to use this booklet

Three passes are enough to start

  1. Read the topic headings and recall the core relation.
  2. Attempt a timed set, marking every guess or slow calculation.
  3. Study the working, then repeat only the error patterns.
Keep the series connected

Return to the master book for mixed practice

After topic repair, use the complete resource for cross-topic switching and the five mixed mock tests. The Mathematics Library also keeps this topic booklet discoverable as a separate canonical record.

Written and compiled by Rana Ali Hasan — MPhil Mathematics and Mehreen Kanwal — MPhil Mathematics.

Revision metadata: Updated 15 September 2026. This page is an independent educational resource; verify the current official syllabus before relying on it for an application.

Questions candidates ask

Partnership & Profit Sharing MCQs FAQ

What does this Partnership & Profit Sharing MCQs booklet cover?

This Partnership & Profit Sharing MCQs resource contains 100 fully solved competitive-exam questions arranged for fast topic-wise revision. It focuses on capital ratio, capital × time, unequal investment periods, partner joining/leaving, three-partner sharing, then extends into capital changed during year, working partner salary, commission before sharing, loss sharing, reverse capital/time problems, mixed profit-sharing questions. The coverage list on this page shows the included subtopics.

Are these official past-paper questions?

No. This is independent solved practice material. Treat it as exam-style preparation unless an item has a traceable official source.

Can this topic appear in PPSC, FPSC, CSS MPT, PMS or NTS tests?

Possibly, where the relevant current notice includes this mathematics. Always verify the exact post-specific advertisement and syllabus.

How many questions are in the PDF?

This topic booklet contains 100 fully solved questions across 23 A4 PDF pages.

Are the solutions shown after the options?

Yes. Each MCQ is designed to show four options followed immediately by mathematical working for checking both the answer and method.

Can I download the PDF?

Yes. View PDF opens the owner PDF, while Download PDF uses a same-domain download route. A Backup Copy button is omitted because no verified backup URL is available.

Ready for the next topic?

Open the owner PDF, download this topic booklet or return to the complete 2,650-question pathway.

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