मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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 - Mathematics and Statistics

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प्रश्न

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? 

बेरीज
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उत्तर

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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2013-2014 (March)

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