Q13 of 27 Page 202

Three clay modellers from Kumartuli collectively took a loan of ₹100000 from a cooperative bank to set up a modelling workshop. They made a contract that after paying back the annual bank instalment of ₹28100, they would divide half of the profit among themselves in terms of the number of working days and the other half will be equally divided among them. Last year they worked 300 days, 275 days and 350 days respectively and made a profit of ₹139100. Let us write by calculating the share of each in this profit.

Loan taken from is the investment made which is = ₹100000


Profit = ₹139100


Remaining profit, after paying back the annual bank instalment of ₹28100 = ₹139100-₹28100


= ₹111000


Given, 3 clay modellers, say A, B and C, decided to divide half of the profit among themselves in terms of the number of working days and the other half will be equally divided among them.


Half of Remaining profit which will be equally divided among them is



Ratio of working days = 300 : 275 : 350


= 12 : 11 : 14


Hence, their shares in ratio of their working days are:



= ₹18000



= ₹16500



= ₹21000


A’s total share = ₹18000 + ₹18500


= ₹36500


B’s total share = ₹16500 + ₹18500


= ₹35000


C’s total share = ₹21000 + ₹18500


= ₹39500


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