Gautam started a business with a sum of ₹60,000. Jatin joined him 8 months later with a sum of ₹35,000. At what respective ratio will the two share the profit after two years?
18 : 7
In a partnership, profit share is proportional to capital × time.
Gautam: capital ₹60,000 for the full 24 months.
\(60{,}000 \times 24 = 14{,}40{,}000\)
Jatin: capital ₹35,000 for \(24 - 8 = 16\) months.
\(35{,}000 \times 16 = 5{,}60{,}000\)
Profit ratio:
\(\dfrac{14{,}40{,}000}{5{,}60{,}000} = \dfrac{1440}{560} = \dfrac{18}{7}\)
Hence the ratio is 18 : 7. The correct answer is option 1).
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