A man has Php 45,000 which he invests partly at a simple interest of 5% and the rest at 3 1/2 % per annum. The annual income from

A man has Php 45,000 which he invests partly at a simple interest of 5% and the rest at 3 1/2 % per annum. The annual income from 3 1/2 % investment exceeds the income from the 5% investment by Php 65. Represent the amount of each investment.

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  1. Answer:

    Let x be the amount he invests in 5%

    Then the amount he invests in 3 1/2 % is 45000-x

    (45000-x)(7/2)/100 -x(5)/100=65

    (45000-x)×7-10x=65×200

    315000-7x-10x=13000

    17x=(315-13)×1000

    x=302000/17

    Other amount is ,45000-302000/17

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