Module 1 · Arithmetic
Chapter 14: Partnership
Arithmetic
3 topics
What this chapter covers
The 3 topics below make up Partnership on the CAT. Click any topic to open its notes, examples and practice test.
Study material & tests
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Formula Reference Sheet
This chapter
Core sharing rules
| Simple partnership (equal time) | Profit ratio = C₁ : C₂ : C₃ (capitals) |
|---|---|
| Compound partnership (unequal time) | Profit ratio = C₁t₁ : C₂t₂ : C₃t₃ |
| One partner’s share | Share = (Your C·t / Total C·t) × Total profit |
| Equal profit ⇒ capitals are | C₁ : C₂ = t₂ : t₁ (inverse of time) |
| Capital from profit share | C₁/C₂ = (P₁/t₁) ÷ (P₂/t₂) |
Working partner & money-month
| Working partner’s pay | Salary/commission taken off the top first |
|---|---|
| Remainder to split | Total profit − salary − commission |
| Commission on profit | Commission = r% × Total profit |
| Capital-month (money-month) | Rupees × Months invested |
| Mid-year change | Sum each phase: C₁·m₁ + C₂·m₂ + … |
CAT reference
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