WBBSEClass XMathematicsPartnership05 Mark2022 Easy

QQuestion

Three friends have started a business by investing Rs. 8,000, Rs. 10,000, and Rs. 12,000 respectively. They also took an amount as a bank loan. At the end of one year, they made a profit of Rs. 13,400. After paying the annual bank installment of Rs. 5,000, they divided the remaining money of the profit among themselves in the ratio of their capitals. Calculate the profit share of each.

Exam-ready answer 05 Mark

Answer

Capitals Ratio = ₹8,000 : ₹10,000 : ₹12,000

= 4 : 5 : 6

Sum of Ratio = 4x + 5x + 6x = 15x

Total profit = ₹13,400

Bank installment = ₹5,000

Profit to share = ₹13,400 − ₹5,000 = ₹ 8,400

Profit share of Partner 1 = \frac{4x}{15x} × ₹ 8,400 = ₹ 2,240

Profit share of Partner 2 = \frac{5x}{15x} × ₹ 8,400 = ₹2,800

Profit share of Partner 3 = \frac{6x}{15x} × ₹ 8,400 = ₹3,360

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