Problem 2 · 2010 Math Kangaroo
Easy
Fractions, Decimals & Percents
percent-multiplier
Ivan gains 85% of the points in a test. Tibor gains 90% of the points in the same test, but only one point more than Ivan. What is the maximum number of points that can be gained in this test?
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Answer: D — 20
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Hint 1 of 2
The gap between 85% and 90% of the same total equals one point.
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Hint 2 of 2
Find what 5% of the total is worth.
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Approach: percent difference equals one point
- Tibor scores 90% and Ivan 85% of the same total, so Tibor has 5% more.
- That 5% is exactly 1 point, so 1% is worth 0.2 of a point.
- The whole test is 100%, which is 100 times 0.2 = 20 points.
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