Share a common name: fruit and shoe polish.

Hint: The question requires us to find one word which has both meanings. A word can have more than one meaning. They are called synonyms. A synonym is a word, morpheme, or phrase in the same language that has the same or nearly the same meaning as another word, morpheme, or phrase.

Complete answer:
A common name can be shared between related or unrelated objects. For example, one can be the name of a brand and another can be the name of a food item like Apple. A brand is an identity mark used by corporations to create an impression in the minds of consumers and generally named after various different objects.

We try to find out the relation between the two words by brainstorming different options such as the names of animals, plants, vehicles, toothpaste etc.

First let us write a few names of fruits. They can be:
Apple, mango, cherry, pear, orange, grape, strawberry, guava, kiwi, peach etc.
Now the fruit should share a common name with “shoe polish”. Generally, there are no types of shoe polish but rather brands of shoe polish available. Hence, we can go through the brand names and find out a common name. Few brands of shoe polish available are:
Woodland, Kiwi, Cherry Blossom, Helios, Meltonian etc.
Here we can see that “Cherry” and “Kiwi” are both fruit and shoe polish brands.

Hence “Cherry” and “Kiwi” are the common names for fruit and shoe polish.

Note: It is not necessary that the common name should be in the English language only. Few more examples of the common name can be:
Animal and car- Jaguar
Tree and toothpaste- babool
Famous monument and tea brand- Taj Mahal
Bulb and source of energy- Surya