Meaning of 'Cut down on'

[Andrey]

English Language Tests, Intermediate level

ESL/EFL Test #191 "Phrasal Verbs (C)", question 10

Lawrence is trying to ......... on fatty foods.

(a) cut down
(b) cut up
(c) cut about

English Language Tests, Intermediate level

ESL/EFL Test #191 "Phrasal Verbs (C)", answer 10

Lawrence is trying to cut down on fatty foods.

Correct answer: (a) cut down

Your answer was: correct
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Does it mean to lose extra weight?

Thanks in advance.

[Mister Micawber]

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No. 'Cut down on' = decrease the quantity of consumption of.
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Native English teacher at Mister Micawber's