F.1 percentage

2012-01-20 1:37 am
A test consists of parts A and B only. Timothy scores 75 marks and 12 marks in part A and B of the test respectvely. Tommy's score in part A is 10% lower than that of Timothy and their total scores are the same. By what perentage is Tommy's score in part B higher than that of Timothy ?
更新1:

the answer is 62.5%

回答 (1)

2012-01-20 3:23 am
✔ 最佳答案
Let x% be Tommy's score in part B higher than that of Timothy :
Tommy's part A + part B scores = Timothy's part A + part B scores
75 + 12 = 75(1 - 10%) + 12(1 + x%)

87 = 67.5 + 12(1 + x%)

19.5 = 12(1 + x%)

19.5/12 = 1 + x%

1.625 = 1 + x%

0.625 = x%

0.625 * 100% = x%

62.5% = x%
The answer is 62.5%


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