Arun and Ajoy started a business jointly by investing ₹ 24000 and ₹ 30000 respectively at the begining 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.​

Naushad Malik Best Answer 1 year ago

Given :- Arun and Ajoy STARTED a business jointly by investing Rs 24000 and Rs 3000 respectively at the begining of the year. After a few months Arun invested Rs 12000 more . After a year the profit was Rs 14030 and Arun received the profit share of Rs 7130 .To Find :- How many months did does Arun invest MONEY in that business .SOLUTION :-Let, Arun contribute Rs 12000 more after x month .Arun contributed Rs 24000 for x month and Rs (24000 +12000 ) = Rs 36000 for (12 -x ) month.If total profit will have to get for 1 month Arun will require,=> Rs { 24000 × x + 36000 × (12 -x ) } => Rs (432000 - 12000x )Ajoy contribute Rs 30000 for 12 month .If Total profit will have to get in 1 monthAjoy will require Rs (30000 × 12 ) = Rs 360000 Ratio of principal of Arun and Ajoy,=> ( 432000 - 12000x ) : 360000=> (432 - 12x ) : 360 => (36 - x ) : 30 Profit is divided in the ratio of their principalTotal profit of Arun 14030 × According to the question,=> 14030 × = 7130=> = => = [ By doing cross multiplication we get ]=> 50508 - 1403x = 47058 -713x=> 1403x - 713x = 50508 - 47058=> 690x = 3450=> x = 5 Arun joined the business after 5 months .__________________________________

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