A dishonest butcher priced his meat so that meat advertised at $\$ 3.79$ per $\mathrm{kg}$ was actually sold for $\$ 4.00$ per $\mathrm{kg}$. He sold $1800 \mathrm{~kg}$ of meat before being caught and fined $\$ 500$. By how much was he ahead or behind where he would have been had he not cheated?
(A) $\$ 478$ loss
(B) $\$ 122$ loss
(C) Breaks even
(D) $\$ 122$ gain
(E) $\$ 478$ gain

Part C (8 credits each)
A dishonest butcher priced his meat so that meat advertised at $\$ 3.79$ per $\mathrm{kg}$ was actually sold for $\$ 4.00$ per kg. He sold $1800 \mathrm{~kg}$ of meat before being caught and fined $\$ 500$. By how much was he ahead or behind where he would have been had he not cheated?
(A) $\$ 478$ loss
(B) $\$ 122$ loss
(C) Breaks even
(D) $\$ 122$ gain
(E) $\$ 478$ gain

## Solution

The butcher gained $\$ 0.21$ on each $\mathrm{kg}$ he sold and thus he dishonestly made $(0.21)(1800)=\$ 378.00$. After paying the $\$ 500$ fine, he would have a loss of $\$ 500-\$ 378=\$ 122$.

## Part C