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Partnership Practice Questions with Detailed Solutions – Level 2

Intermediate partnership problems on capital-time ratios, late joiners, withdrawals, working partner salaries and finding an unknown investment or period.

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Questions, answer key and solutions.

Questions
50
Duration
60 min
Marks
50

Negative marking

Attempts
100
Access
Free
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Both use the same questions. Normal practice is untimed and needs no account: choose an option and the answer and solution appear at once. The Simulated test is the real computer-based format, with one 60-minute clock, a question palette and full screen, and your score, the key and the solutions arrive when you submit.

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The computer-based test format: one clock, a question palette, and a score the moment you submit.

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About this test

Partnership Practice Questions Level 2 on Capital and Time Ratios

This Level 2 partnership set builds the skill of dividing profit in the ratio of capital multiplied by time. It covers partners joining late or leaving early, capital added or withdrawn midway, working partner salaries and finding an unknown investment or period. Aptitude360 includes a worked solution for every question.

Partnership topics in this Level 2 set

  • Profit sharing when capitals and periods differ
  • Partners who join after some months or leave before the year ends
  • Capital added or withdrawn partway through the year
  • Working partner paid a monthly salary or a share of profit before division
  • Finding an unknown investment from a partner's share
  • Finding the joining month or investment period from capital and profit ratios

Key partnership formulas

  • Profit ratio: \( P_{1}:P_{2}=C_{1}T_{1}:C_{2}T_{2} \)
  • Partner's share: \( \text{Share}=\dfrac{C_{1}T_{1}}{C_{1}T_{1}+C_{2}T_{2}}\times P \)
  • Period ratio: \( \dfrac{T_{1}}{T_{2}}=\dfrac{P_{1}}{P_{2}}\times\dfrac{C_{2}}{C_{1}} \)
  • Changed capital: \( \text{Total capital-time}=C_{a}t_{a}+C_{b}t_{b} \)
  • After salary: \( \text{Divisible profit}=P-\text{Salary} \)

Revision tips for partnership problems

  • Convert every investment into capital multiplied by months before forming the ratio
  • Split the year into periods whenever capital changes and add the products
  • Deduct the working partner's salary or commission first, then divide the rest
  • Cancel common factors in capital-time products to keep ratios small

Who should practise this partnership set

It suits arithmetic learners who know the basic profit ratio and are ready for intermediate problems with changing capital and working partners.

FAQs about Partnership Practice Questions with Detailed Solutions – Level 2

What is partnership in quantitative aptitude?
Partnership problems deal with two or more people investing in a business and sharing its profit or loss. Each share depends on the capital invested and the period it was invested for.
What is the difference between simple and compound partnership?
In a simple partnership all capitals are invested for the same period, so profit is shared in the ratio of capitals. In a compound partnership the periods differ, so profit is shared in the ratio of capital multiplied by time.
How is profit divided when a partner joins later?
Multiply each partner's capital by the number of months it stayed in the business. Profit is then divided in the ratio of these products.
How is a working partner's salary handled in partnership questions?
The salary or commission is first taken out of the total profit. The remaining profit is then divided among all partners in their capital-time ratio.

Test structure

How the paper is split, and how long each part runs. A section you have finished cannot be returned to.

SectionQuestionsTime
Partnership Level 25060 min

Marking & rules

Total marks
50 across 50 questions.
Negative marking
A wrong answer costs marks. Leaving a question unanswered costs nothing.
Attempts
100 in total. An attempt is spent the moment you begin one.

What you get when you submit

The analysis is ready the moment you submit the paper.

Score and accuracy

Marks, percentage, right, wrong and skipped, and the time you took.

Section by section

The same figures for each section, so a weak one cannot hide in an average.

The full answer key

Every question with your answer, the right one, the working, and the video where there is one.

Where you stand

Your score against the spread of everyone else who has sat this test.

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