SSC & BANK EXAMS: QUANTITATIVE APTITUDE · RATIO & PARTNERSHIP

Partnership: sharing profit

Profit is shared in the ratio of (capital × months) for each partner.

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Worked examples

Example 1 · level 1

Tenzin invested ₹70,000, Rohan invested ₹90,000 in a small business in Jaipur. At the end of the year the profit is ₹6,400. What is Rohan's share?

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Tenzin: 70,000 × 12 = 8,40,000.
Rohan: 90,000 × 12 = 10,80,000.
Ratio = 7 : 9 (sum 16).
Rohan's share = 6,400 × 9/16 = ₹3,600.

Answer: ₹3,600

Example 2 · level 2

Arjun invested ₹20,000, Meera joined after 8 months with ₹20,000 in a small business in Jaipur. At the end of the year the profit is ₹7,600. What is Arjun's share?

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Arjun: 20,000 × 12 = 2,40,000.
Meera: 20,000 × 4 = 80,000.
Ratio = 3 : 1 (sum 4).
Arjun's share = 7,600 × 3/4 = ₹5,700.

Answer: ₹5,700

Example 3 · level 3

Tenzin invested ₹95,000, Arjun joined after 3 months with ₹15,000, Isha joined after 2 months with ₹20,000 in a small business in Mysuru. At the end of the year the profit is ₹2,65,500. What is Arjun's share?

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Tenzin: 95,000 × 12 = 11,40,000.
Arjun: 15,000 × 9 = 1,35,000.
Isha: 20,000 × 10 = 2,00,000.
Ratio = 228 : 27 : 40 (sum 295).
Arjun's share = 2,65,500 × 27/295 = ₹24,300.

Answer: ₹24,300