VenoMftw wrote:
Alex spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentage for Susie are 40%, 25%, and 13%. Who spends more on children’s education?
(1) Alex spends more on recreation than Susie.
(2) Susie spends more on healthcare than Alex.
Given Alex spends E 30%, R 20% and H 10% ; Susie spends E 40%, R 25% and H 13%.
What should be inferred is, we do not know that the actual value of Alex and Susie Income, hence depending on that value, the %spending may vary.
Let Alex income be A, and Susie income be S
St 1: Given Alex spends more on recreation than Susie.
i.e, 20% of A > 25% of S
Assume A = 200, S=100, then 40>25. Hence Alex spends more than Susie on Recreation.
Assume A = 125, S= 128, then 25<32, Hence Susie spends more than Alex on Recreation.
Contrasting results, Hence Not sufficient.
St 2: Susie spends more on healthcare than Alex.
i.e, 13% of S > 10% of A. This is only possible when the Income of Susie is more than Alex.
Hence Susie will spend more on Recreation than Alex.
Hence Sufficient.
Option B