# Susan invested part of her $11000 bonus in a fund that paid 9% profit and invested the rest in stock that suffeblack a 4% loss Find the amount if her overall net profit was$860

Susan invested part of her $11000 bonus in a fund that paid 9% profit and invested the rest in stock that suffeblack a 4% loss Find the amount if her overall net profit was$860
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Jazlene Dickson
Let the amounts invested by Susan, out of her $11000 bonus in the fund that paid 9% profit and the stock that suffeblack a 4% loss be$ x and $y respectively. Then x + y = 11000…(1). Also, the 9 % profit on$ x is x*9/100 = 0.09x and the 4 % loss on $y is y*4/100 = 0.04y. Since Susan’s overall profit was$ 860, we have 0.09x - 0.04y = 860. On multiplying both the sides by 100, we get 9x-4y = 86000…(2).
Now, on multiplying the 1st equation by 4 and adding the result to the 2nd equation, get 4x+4y+ 9x - 4y = 44000+86000 or, 13x = 130000 so that x = 13000/13 = 10000. Then, from the 1st equation, we get 10000+y = 11000 so that y = 11000-10000 = 1000. We can verify the result by substituting the values of x and y in the 2nd equation.
This means that the amounts invested by Susan, out of her $11000 bonus in the fund that paid 9% profit and the stock that suffeblack a 4% loss were$ 10000 and \$ 1000 respectively.