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Question
Amit and Rohit started a business by investing ₹20,000 each. After 3 months Amit withdrew ₹5,000 and Rohit put in ₹5,000 additionally. How should a profit of ₹12,800 be divided between them at the end of the year?
Solution
Amit invested ₹20,000 for 3 months and ₹15,000 for 9 months .
His investment = ₹(20,000 x 3 + 15,000 x 9)
Rohit invested ₹ 20,000 for 3 months and ₹25,000 for 9 months.
His investment = ₹ (20,000 x 3 + 25,000 x 9)
Now, ratio of their investment is (20,000 x 3 + 15,000 x 9) : (20,000 x 3 + 25,000 x 9)
i.e. 5000(4 + 3 x 3) x 3 : 5000(4 + 5 x 3) x 3
i.e. 13 : 19
∴ 13 + 19 = 32
Amit's share of profit = `13/32 xx 12,800`
= ₹ 5,200
Rohit's share of profit = `19/32 xx 12,800`
= ₹ 7,600
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