Q5 of 27 Page 202

Dipu, Rabeya and Megha have started a small business by investing the capitals of ₹6500, ₹5200, ₹9100 respectively and just after one year they make a profit of ₹14,400. If they divided rd of the profit equally among themselves and the remaining in the ratio of their capitals, let us find the profit share of each.

Dipu invested = ₹6500 for a year


Rabeya invested = ₹5200 for a year


Megha invested = ₹9100 for a year


Dipu’s total investment = ₹6500 × 12


Rabeya’s total investment = ₹5200 × 12


Megha’s total investment = ₹9100 × 12


Ratio of partnership = 6500 × 12 : 5200 × 12 : 9100 × 12


= 5 : 4 : 7


Total profit = ₹14,400


Profit which they divide equally among themselves


= ₹9600


Profit of each


= ₹3200


Profit which they divide in the ratio of their capitals



= ₹4800


Dipu's share of profit =


= ₹4500


Rabeya' s share of profit


= ₹3600


Megha's share of profit


= ₹6300


Hence,


Dipu’s total profit = ₹4500 + ₹3200


= ₹7700


Rabeya’s total profit = ₹3600 + ₹3200


= ₹6800


Megha’s total profit = ₹6300 + ₹3200


= ₹9500


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