Bunuel
For a charity raffle, 1,200 tickets were sold at two different prices, $1.00 and $2.50. The charity spent $550.00 on the prizes and $60.00 in administrative costs. If the charity incurred no other costs, and the $2.50 tickets made up 2/3 of the total number of tickets sold, how much profit did the charity make from the raffle?
A. $610
B. $1,790
C. $1,890
D. $2,000
E. $2,400
Solution: The charity spent \($550.00\) on the prizes and \($60.00\) in administrative costs. This means the
total CP of charity raffle \(= 550+60=$610\). The charity sells \(\frac{2}{3}\) of the total number of tickets at \($2.5\) each. Revenue from these tickets \(= \frac{2}{3}\times 1200 \times 2.5=$2000\)
The rest (\(1200-800=400\)) tickets were sold at \($1\) each. Revenue from each ticket \(= 400\times 1=$400\).
Total revenue earned by charity \(= 2000+400=$2400\). Thus the profit made by charity
= Total Revenue - Total CP \(= 2400-610=$1790\).
Hence the right answer is
Option B.