SOLUTION: Kumar spent $240 of his allowance on food and 20% of the remaining allowance on transport. He spent 68% of his allowance on food and transport. What percentage of his allowance did

Question 1203171: Kumar spent $240 of his allowance on food and 20% of the remaining allowance on transport. He spent 68% of his allowance on food and transport. What percentage of his allowance did he spend on transport?
(1) 48%
(2) 32%
(3) 8%
(4) 4%
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
food = 240.
transport = .20 * (x - 240) = .20x - 48.
total allowance = x.
.68 * x = 240 + .20x - 48
subtract .20x from both sides of that equation and combine like terms to get .48 * x = 192
solve for x to get x = 192 / .48 = 400.
his allowance was 400.
trnsport was .20 * 400 - 48 = 80 - 48 = 32
32 on tranport / 400 total allowance = .08.
your answer is he spent 8% of his allowance on transport.

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