A portion of the 7,200 is invested at a 4% annual return , while the remainder is invested at a 5% annual return . If the annual income from both portions is the same, what is the total income from the two investments?

A portion of the 7,200 is invested at a 4% annual return , while the remainder is invested at a 5% annual return . If the annual income from both portions is the same, what is the total income from the two investments? Correct Answer Tk. 320

Let the investments be A and (7200 - A) respectively. Interest, I = P n r Now,  A × 1 × 4/100 = (7200 - A) × 1 × 5/100 or, 4A = 5×7200 - 5A or, 5A + 4A = 36000 or, 9A = 36000 or, A = 4000 So, total income =  A × 1 × 4/100 + (7200 - A) × 1 × 5/100 = 4000×4/100 + (7200 - 4000)×5/100 = 160 + 160 = 320 TK
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