In a perfect competitive firm, MR is equal to AR but in a non competitive one MR is always less than AR, why?

In a perfectly competitive firm, AR is constant. Due to this, MR is also constant and is equal to AR.
In a monopoly firm, AR is reducing. Due to this, MR must also be decreasing but faster than AR. This is why MR is always less than AR in non-competitive markets.

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