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Solutions
Six persons: F, G, P, Y, T, Q
Number of units: 12, 15, 17, 10, 19, 13
Three items: Bags, Watches, Masks
1) G bought 12 bags.
2) P bought four more units than that of Y, who does not buy watches.
3) Q and P bought the same item.

4) One person bought 10 watches.
5) Neither P nor Y bought bags.
6) T bought 15 units.

6) Y and F bought the same item.
7) Nobody bought 15 masks or watches.

So, the above is the final arrangement.
Hence, The one who has bought 12 units (G), has bought bags.