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Two Partners Invest ₹125000 and ₹85000, Respectively in a Business and Agree that 60% of the Profit Should Be Divided Equally Between Them and the Remaining Profit is to Be Treated as Interest on - Mathematics

MCQ

Two partners invest ₹125000 and ₹85000, respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets ₹600 more than the other, find the total profit made in the business.

Options

  • ₹8800

  • ₹8885

  • ₹8995

  • ₹7875

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Solution

₹7875
Explanation:
The difference counts only due to 40% of the profit which was distributed according to their investments.
Let total profit = x.
40% of x is distributed in the ratio, `125000:85000=25:17`

Share of 1st partner = 40% of `x(25/(25+17))`

= 40% of `(25x)/42=40/100xx(25x)/42=(5x)/21`

Share of 2nd partner

= 40% of `(17x)/42=40/100xx(17x)/42=(17x)/105`

Now, according to the question

`(5x)/21-(17x)/105=600`

⇒`(x(25-17))/105=600`

⇒`x=(600xx105)/8`

= ₹7875

 

 

Concept: Ratio and Proportion (Entrance Exam)
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