Harshgmat wrote:
The financial aid office of a certain college has agreed to provide a $9,000 grant to every student whose total family income (not including the grant) is $22,500 or less. However, for every $40 in family income above this figure, the grant is reduced by $10. If Cedric's award is reduced 40%, what is his family income?
A) $26,100
B) $27,000
C) $31,500
D) $36,900
E) $ 44,100
Cedric's award = \(60/100($9000) = $5,400\).
For every \($40\) higher than \($22,500\) the grant gets reduced by \($10\): here the grant got reduced by \($3,600\), i.e., \(3600/10 = 360\) times, by \($40\). So, the family income must be \($22,500 + (360*40) = $36,900\). Ans - D.