Q12 of 27 Page 202

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




6624 + 276x = 8556


276x = 8556-6624


276x = 1932


X = 7 months


Arun invested money after = 12-7 = 5 months.


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13

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14

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