Need help about possible ram issue

My specs are fx 6300. Gigabyte 78lmt-usb3. Ram is zion 4gb *2 1600mhz. Amd r9 390. I had strange problem. I couldn't install highly compressed games like that of fitgirl and corepack. Always i got checksum error sort. Also frequent random pc shut down while gaming. I couldn't install fitgirl repacked resident evil 7.but today i removed one ram stick and could install that highly compressed game.i suspect one of my ram is malfunctioning. So should i get a new single 8 gb stick and replace both. Or just throw out the faulty 4gb one and add 8 gb ram of similar specs. Please suggest. My budget is 4k Rupees and i do intensive gaming
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