SOLUTION: Alan spent 25% of his savings on a new shirt and 10% of his savings on a new pair of trousers. He then used 1/5 of the rest of his savings on books. What is the total percentage of

Question 934831: Alan spent 25% of his savings on a new shirt and 10% of his savings on a new pair of trousers. He then used 1/5 of the rest of his savings on books. What is the total percentage of his savings that he had spent altogether?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x represents his savings.
.25 * x was spent on a new shirt.
.10 * x was spent on a new pair of trousers.
he spent a total of .35 * x on both a new shirt and a new pair of trousers.
he was left with 1 - .35 * x which is equal to .65 * x.
he spent 1/5 of that on books.
that means he spent 1/5 * .65 * x on books which means he spent .13 * x on books.
the total of his savings that he spent was .35 + .13 = .48 * x which is 45% of his savings.

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