The GCF is 30.
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a fifth of 150 = 150/5 = 30 4/5ths = 4 x 1/5th = 4 x 30 = 120
120
least common multiple of 30 and 75 is 150.
Many 'fractions' can be easily created using ratios of multiples of 30: Multiples:30 60 90 120 150 . . . Ratios:30/1, 60/2, 90/3, 120/4, 150/5 . . .
If you got 20% discount then you paid 80% of the full price. If 120 is 80% then 100% is 150 ie 120 x 100/80