Quick Sell Outlet sold a total of $40$ televisions, each of which was either a Model $P$ television or a Model $Q$

Quick Sell Outlet sold a total of $40$ televisions, each of which was either a Model $P$ television or a Model $Q$ television. Each Model $P$ television sold for $\$p$ and each Model $Q$ sold for $\$q.$ The average (arithmetic mean) selling price of the $40$ televisions was $\$141.$ How many of the $40$ televisions were Model $P$ televisions?

1) the Model $P$ televisions sold for $\$30$ less than the Model $Q$ televisions.

2) Either $p=120$ or $q=120.$

Answer: C

Source: GMAT Prep

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