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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Percentages
Difficulty
Hard
ID: 2e92cc21
Modded SAT Question Bank by Abdullah Mallik

The number a is 110% greater than the number b. The number b is 90% less than 47. What is the value of a?


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Correct Answer: 9.87,  987/100
Rationale

The correct answer is 9.87. It’s given that the number a is 110% greater than the number b. It follows that a=1+110100b, or a=2.1b. It’s also given that the number b is 90% less than 47. It follows that b=1-9010047, or b=0.147, which yields b=4.7. Substituting 4.7 for b in the equation a=2.1b yields a=2.14.7, which is equivalent to a=9.87. Therefore, the value of a is 9.87.

Question Difficulty: Hard
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