bala spent $20 of his money on some books. he spent 25% of the remaining money on some pens. he had 33 1/3% of his original amount of money left. how much money did he had at first?
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mr.tan
Let the amount spent on pens be u (blue block). So remaining amount after $20 and pens is 3u (green blocks). But that 3u is 33 1/3% = 1/3 of total amount. So total = 3 x 3u = 9u and $20 is represented as 9u - 4u = 5u. Thus u = 4 and 9u = 36. He had $36 at first.
sushi88
Let u be the total amount of money Bala had at first.
Money Spent Money Left
Books 20 u-20
Pens (1/4)(u-20) (1/3)u = 33 1/3 % of u = [ (100/3) x (1/100)u = (1/3)u]
If money left at the end is (1/3)u, this means total money spent = (2/3)u
20 + (1/4)(u-20) = (2/3)u ( x 12 on both sides)
240 +3u – 60 = 8u
5u = 180
u = 36
Hence Bala had $36 at first