The number a is 190 % greater than the number b . The number b is 80 % less than

Question

The number a is 190 % greater than the number b . The number b is 80 % less than 24 . What is the value of a ?

Accepted Answer

Choice B is correct. It's given that the number b is 80 % less than 24 . It follows that b is equal to 24 minus 80 % of 24 , which can be written as b = 24 - 80 100 24 . This is equivalent to b = 24 - 0.8 24 , or b = 4.8 . It's also given that the number a is 190 % greater than the number b . It follows that a is equal to b plus 190 % of b . Since b = 4.8 , this can be written as a = 4.8 + 190 100 4.8 . This is equivalent to a = 4.8 + 1.9 4.8 , or a = 13.92 . Choice A is incorrect. This would be the value of a if a were 190 % of b , not 190 % greater than b . Choice C is incorrect. This is 190 - 80 % of 24 . Choice D is incorrect. This would be the value of a if b were 80 % of 24 , not 80 % less than 24 , and a were 190 % of b , not 190 % greater than b .

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