Numerical aptitude · Percentages and money
Partnership, made easy
💡 The idea
Partners share the profit in the same ratio as the money they put in (and for how long).
🧭 The method: 3 steps
- Write each partner’s money. If they joined at different times, use money × months.
- Simplify to a ratio and add the parts.
- Share the profit by those parts.
🎬 Every kind of question, in pictures
Pick a kind. Guess the answer first, then watch the picture work it out. Tap any step to see it in the picture.
Loading the pictures…
✏️ Worked examples
Example 1. Ali puts in $2,000 and Ben $3,000. Profit $1,500. Ali’s share?
- Ratio 2,000 : 3,000 = 2 : 3
- Parts = 5, so 1 part = 1,500 ÷ 5 = 300
- Ali = 2 parts = $600
Example 2. Sara puts $4,000 in for 12 months; Leo puts $6,000 in for 4 months. Ratio?
- Sara: 4,000 × 12 = 48,000
- Leo: 6,000 × 4 = 24,000
- Ratio = 2 : 1
⚠️ Where people go wrong
- If someone joins later, their money worked for fewer months: multiply by the months.
- Divide by the total parts, not by one person’s parts.
📌 Remember
- Share ∝ money × time