The charge is represented as the passing of Coulomb through the circuit.
When 1A of current passes through a point in 1 second we call it as passing of Coulomb from that section.
`1C = 1Axx1s`
Here we have 10A for 1 min.
Amount of Coulombs that passes `= 10xx60 = 600C`
So the net charge passes through is 600 Coulombs per minute.