Problema Solution

a business man invested 10000 in two different business A and B.A gave total returns of 8%and B 15%. if he had total gain of 4500,how much did he invest in each business

Answer provided by our tutors

let


a = the money invested in business A, a>0


b = the money invested in business B, b>0


a business man invested 100000 in two different business A and B:


a + b = 100000


he had total gain of 4500:


0.08a + 0.15b = 4500


by solving the system of equations:


a + b = 100000


0.08a + 0.15b = 4500


we find:


a = - 42,857.1429


b = 52,857.1429


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We got a negative solution for a meaning the investment of business A which contradicts with a > 0.


Thus the problem has no solutions.