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An amount of ₹ 5000 is put into three investments at the rate of interest of 6%, 7%, and 8% per annum respectively. The total annual income is ₹ 350. If the combined income from the first two investments is ₹ 70 more than the income from the third, find the amount of each investment.

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Let the amount of each investment be ₹ x, ₹ y and ₹ z. 

According to the given conditions, 

x + y + z = 5000, 

6% x + 7% y + 8% z = 350

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