单选题A number a increased by 20% of a results in a number b. When b is decreased by 33(1/3)% of b, the result is c. The number c is what percent of a?A40%B60%C80%D120%E150%
单选题
A number a increased by 20% of a results in a number b. When b is decreased by 33(1/3)% of b, the result is c. The number c is what percent of a?
A
40%
B
60%
C
80%
D
120%
E
150%
参考解析
解析：
If a increased by 20% of a results in b, then a + (20% of a) = b, a +0.2a =b, 1.2a = b. When b is decreased by 33(1/3)% of b, the result is c, so b - (1/3)b = (2/3)b = c. Since c = (2/3)b = (2/3)(1.2a) = 0.80a, then c is 80% of a.
If a increased by 20% of a results in b, then a + (20% of a) = b, a +0.2a =b, 1.2a = b. When b is decreased by 33(1/3)% of b, the result is c, so b - (1/3)b = (2/3)b = c. Since c = (2/3)b = (2/3)(1.2a) = 0.80a, then c is 80% of a.
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