[Math Revolution GMAT math practice question]
The population of state X increases by 10 percent every 10 years. If the population in 1990 was P million, how much larger is the population in 2010 than the population in 1990?
A. 0.1*P
B. 1.1*P
C. 0.01*P
D. 0.11*P
E. 0.21*P
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The population of state X increases by 10 percent every 10 y
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Max@Math Revolution
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Max@Math Revolution
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The population in 2010 is (1.1)^2P and the difference between the populations in 2010 and in 1990 is (1.1)^2P - P = ((1.1)^2 - 1)P = (1.1+1)(1.1-1)P = 2.1*0.1P = 0.21P.
Therefore, the answer is E.
Answer: E
The population in 2010 is (1.1)^2P and the difference between the populations in 2010 and in 1990 is (1.1)^2P - P = ((1.1)^2 - 1)P = (1.1+1)(1.1-1)P = 2.1*0.1P = 0.21P.
Therefore, the answer is E.
Answer: E
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Max@Math Revolution wrote:[Math Revolution GMAT math practice question]
The population of state X increases by 10 percent every 10 years. If the population in 1990 was P million, how much larger is the population in 2010 than the population in 1990?
A. 0.1*P
B. 1.1*P
C. 0.01*P
D. 0.11*P
E. 0.21*P
If the population in 1990 was P million, then the population in 2000 was P x 1.1 = 1.1P million, and the population in 2010 was 1.1P x 1.1 = 1.21P million. Therefore, the population in 2010 was 1.21P - P = 0.21P larger than the population in 1990.
Answer: E
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