Arun and Ajoy started a business jointly by investing ₹24000 and ₹30000 respectively at the beginning of the year. But after a few months Arun invested ₹12000 more. After a year, the profit was ₹14030 and Arun received the profit share of ₹7130. Let us find after how many months did does Arun invest money in that business.
Arun’s initial investment = ₹24000×12
= ₹288000
Later, Arun has invested = ₹12000 more for x months.
= ₹12000x
Arun’s total invrstment = ₹288000 + ₹12000x
Ajoy’s total invrstment = ₹30000×12
= ₹360000
Total profit = ₹14030
Arun’s profit share = ₹7130
∴ Ajoy’s profit share = ₹14030-₹7130
= ₹6900
We know that ratio of profit share is equal to ratio of capital invested.
∴ Ratio of capital invested = Ratio of profit share = 7130:6900
= 713:690
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6624 + 276x = 8556
276x = 8556-6624
276x = 1932
X = 7 months
∴ Arun invested money after = 12-7 = 5 months.
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