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Agniveer Army CEE Partnership

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This page covers Agniveer Army CEE Partnership with complete concept notes, 8 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Partnership— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Simple Partnership

All partners invest for the same time period 2

Compound Partnership

Partners invest for different time periods Core

Formula BlockMemorise — at least one formula appears in every paper
For Simple Partnership: Profit Ratio = Investment Ratio
For Compound Partnership: Profit Ratio = (Investment × Time) Ratio

If A invests Rs. X for T1 months and B invests Rs. Y for T2 months:

Profit sharing ratio = (X × T1) : (Y × T2)

Key Rules:

- Partners share profit in the ratio of their investments

- Time factor only matters when investment periods are different

- Total profit is distributed among all partners

- Working partners may get additional salary before profit distribution

Exam PatternsWhat examiners ask — read before attempting PYQs

SSC CGL typically asks questions on profit sharing ratios, finding individual profits, or calculating investment amounts. Common question types include finding one partner's share when total profit is given, or determining investment ratios from given profit shares.

ShortcutsUse these to save 30–60 seconds per question

#1 - The Multiplier Method: When dealing with different time periods, multiply each investment by its time period. This gives you the effective investment. Then find the ratio directly. Shortcut Trick #2 - The Unity Method: If you know the ratio and one partner's actual profit, find the value of one unit by dividing that partner's profit by their ratio share.

Then multiply by other partners' ratio shares.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Calculate effective investments A: 20,000 × 12 = 2,40,000 B: 30,000 × 8 = 2,40,000 C: 40,000 × 6 = 2,40,000

2
Step 2

Find ratio Ratio = 2,40,000 : 2,40,000 : 2,40,000 = 1:1:1

3
Step 3

Calculate A's share A's share = (1/3) × 61,800 = Rs. 20,600 Worked Example 2: P and Q enter into partnership. P invests Rs. 40,000 and Q invests Rs. 60,000. After 6 months, P withdraws Rs. 10,000. If the profit at year-end is Rs. 33,000, find Q's share.

1
Step 1

Calculate P's effective investment First 6 months: 40,000 × 6 = 2,40,000 Next 6 months: 30,000 × 6 = 1,80,000 P's total = 4,20,000

2
Step 2

Calculate Q's effective investment Q invests for full year: 60,000 × 12 = 7,20,000

3
Step 3

Find ratio P : Q = 4,20,000 : 7,20,000 = 7:12

4
Step 4

Calculate Q's share Q's share = (12/19) × 33,000 = Rs. 20,842 (approximately) Shortcut Trick #3 - The Percentage Method: If working with percentages, convert everything to the same base (usually 100) before calculating ratios.

Exam TrapsCommon mistakes students make — avoid these

Alert: The #1 mistake students make is forgetting to account for time differences in compound partnerships. Many students only consider the investment amounts and ignore the time factor completely. Always check if all partners invested for the same duration before applying simple partnership formulas.

When time periods differ, you MUST multiply investment by time to get the effective investment ratio.

Key Points to Remember

  • Partnership profit sharing is always based on investment ratios when time periods are equal
  • For different time periods, multiply investment amount by time duration to get effective investment
  • Simple Partnership formula: Profit Ratio = Investment Ratio
  • Compound Partnership formula: Profit Ratio = (Investment × Time) Ratio
  • Quick ratio trick: If investments are in ratio a:b, profits will also be in ratio a:b for equal time
  • Working partners may receive salary first before profit distribution among all partners
  • Time factor formula: Effective Investment = Amount × Number of months invested
  • Unity method: Find one unit value by dividing known profit by its ratio share
  • Always convert time periods to same unit (months or years) before calculation
  • Total profit equals sum of all individual partner shares in the given ratio

Exam-Specific Tips

  • Partnership problems appear in 1-2 questions every year in SSC CGL Tier-I
  • Investment ratio 2:3:4 means partners get profits in exactly same ratio 2:3:4
  • If A invests for 12 months and B for 6 months with equal amounts, A gets double profit share
  • Working partner salary is deducted from total profit before distribution
  • Compound partnership formula: (A × T1) : (B × T2) where A,B are investments and T1,T2 are time periods
  • Simple partnership applies only when all investment periods are identical
  • Partnership profit sharing follows the same rules as direct proportion in mathematics
Practice MCQs

Partnership — Practice Questions

8graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

A and B start a business with investments of ₹5,000 and ₹3,000 respectively. If the total profit at the end of the year is ₹4,000, what is B's share of the profit?

Practice 2easy

P, Q, and R enter into a partnership with capital contributions in the ratio 2:3:4. If the total profit is ₹1,800, how much profit does P receive?

Practice 3easy

X and Y invested ₹8,000 and ₹12,000 in a business for equal time periods. At the end of the year, if X's profit is ₹2,000, what is Y's profit?

Practice 4medium

A and B enter into a partnership. A invests ₹5000 and B invests ₹3000. If the total profit at the end of the year is ₹4000, how much profit does A receive?

Practice 5medium

X, Y, and Z start a business with capital investments of ₹8000, ₹6000, and ₹4000 respectively. They agree to share profits in the ratio of their investments. If the profit for the year is ₹6000, what is Y's share of the profit?

Practice 6medium

P and Q form a partnership with investments in the ratio 3:2. After one year, the business generates a profit of ₹5000. If P's profit share is ₹3000, what was Q's investment if P's investment was ₹9000?

Practice 7medium

M and N enter into a partnership. M invests ₹12000 for 8 months and N invests ₹15000 for 6 months. How should a profit of ₹2310 be divided between them?

Practice 8hard

A and B entered into a partnership. A invested ₹45,000 for 8 months and B invested ₹60,000 for 12 months. If the total profit at the end of the year is ₹21,000, what is B's share of the profit?

60-Second Revision — Partnership

  • Remember: Multiply investment by time period for compound partnerships
  • Formula: Profit Ratio = (Investment × Time) Ratio for different time periods
  • Trap: Never ignore time differences - always check if periods are equal
  • Quick check: Total of individual shares should equal total profit given
  • Shortcut: Use unity method when one partner's actual profit is known
  • Pattern: Investment ratio and profit ratio are always identical in simple partnerships
←Basic Ratio & ProportionMixture & Alligation→
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