Quantitative aptitude · lesson 24 of 30 · free

Partnership — Quantitative aptitude for kids

When friends start a business together, they share the profit in the ratio of what each put in. If they put money in for different lengths of time, use money × months.

▶ Watch how it works

Got it? Practise ↓

The method

Money × months — “each partner’s share of the profit is in the ratio of money × time”

  1. Same time: ratio of the money put in.
  2. Different times: ratio of money × months (someone who joins after k months is in for 12 − k months).
  3. Simplify the ratio, find one part = profit ÷ total parts, then multiply.

Use it for: Sharing profits fairly, small businesses, and partnership questions in aptitude tests.

Worked example: Kabir starts a business with ₹30000. After 4 months, Meera joins with ₹45000. At the end of the year the profit is ₹27000. What is Kabir’s share (in ₹)? → 13500

  1. Kabir: 30000 × 12 = 360000. Meera: 45000 × 8 = 360000. Ratio = 1 : 1.
  2. Total parts = 2, so Kabir gets 27000 ÷ 2 = ₹13500.

Check: Both have money × months = 360000, so equal shares: 13500 + 13500 = 27000 ✓

▶ Watch it animated

✏️ Practice

Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.

Right: 0 · Tried: 0

🏁 Lesson 24 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🤝 Profit Sharer badge when you pass — and a certificate when you finish all 10 lessons of Part 3 · Aptitude challenge. You can still take the test without signing in.

🖨️ Partnership Problems Worksheet

✨ Free AI tutor

Ask the AI tutor about this lesson

Why does it work? When should you use it? Ask in English, मराठी or हिंदी.

Sign in with Google to ask Free — 20 questions a day.

👩‍🏫 Quantitative aptitude classes near you — online or at home

Prefer a real teacher? TalentJR teachers take live online classes anywhere in India and visit homes in selected cities. Tell us what you need and our team will call you with timings and fees.

Live online classesSmall groups or 1:1 with a teacher, from home, any city.
Teacher at homeA TalentJR teacher visits your home (selected cities).
At a centreClasses at a TalentJR partner centre near you, where available.
Badges, certificates & gifts A badge for every lesson you pass, a certificate for every part you finish, plus TalentJR Points for daily practice. Logical reasoning Pair it with logical reasoning — the other half of every aptitude test.