when testing making you try to go through the signal path in order, visually, as best as you can, but the best thing is so try to acquire a service manual with the schematic.
but i'd probably first, check continuity between the input jack and the board, then from the board's connection to the input jack to the next. etc. a DVM can help you see if any resistors have broken down. if it's old, check for dying capacitors too. in old guitar amps filter caps for the power supply leak and leak and tax the power transformer and ultimately it breaks down.
Filter caps should be right next to the power outlet and give power to the transistors. it's kinda hard to test even with a farad meter though, since sometimes the voltages get so high on these you can't really test them correctly with just a 9v powered farad meter.
but first i'd check the signal path. roughly an average signal path goes input, a pulldown resistor that goes from the signal to ground. then from the same signal there might be another resistor-capacitor network that prevents radio interference. coupling capacitors that prevent DC voltage from going to the rest of the circuit (that's a good test though, power on the amp. carefully measure from one end of a capacitor to the other with your DVM set on the DC range... if voltage leaks, that could lead to problems (or it already has caused problems!))
but to be honest, try to get a service manual, and go piece by piece. look at the board. it may look confusing. but your receiver has probably three circuits
the line input, the am-fm input. then they both go to the preamp, and there's probably some switching to select which of the line input or the am-fm goes to the preamp. of course that's all stereo so there's line L-R and Tuner L-R which goes into Preamp L-R and then from preamp the power amp L-R
some amps have no master volume and instead make the power amp run at full capacity and adjust the volume from the preamp section. yours may not even have a preamp and be dependent on volume from the supplied ''input'' device. a gut shot from the inside of the amp could help me guide you!
bear in mind, i know tube guitar amps and fix them. but i don't know jack about home audio amps. the principle is still the same, but with more filtering and less valves i guess!
"NAILFACE" - spe