Discussion

Explanation:

Let us look at the guidelines.

Guideline 1 says: If Chocolate was used, Sprinkles was not used. It means Chocolate and Sprinkles cannot be used together.

G1 ⇒ Chocolate × Sprinkles
G2 ⇒ Chocolate × Fondant
G3 ⇒ Sprinkles → Fondant
G4 ⇒ Fruits → Chocolate
G5 ⇒ Frosting → Fruits → Chocolate

Possible combination of add-ons are:
1.    Sprinkles + Fondant
2.    Fondant
3.    Frosting + Fruits + Chocolate
4.    Fruits + Chocolate
5.    Chocolate

⇒ Each cake will have one of Fondant or Chocolate.
∴ Number of cakes with Fondant + Number of cakes with Chocolate = Total number of cakes = 100.

We see that only Bakery D satisfies the above equation, hence Bakery D must have followed all the rules.

Bakery A: Cakes with Fondant + Cakes with Chocolate > 100. It means there must be some cakes which have both Fondant and Chocolate and hence Bakery A violated guideline number 2.

100 = Cakes with Chocolate + Cakes with Fondant – Cakes with both Fondant and Chocolate
⇒ 100 = 55 + 55 - Cakes with both Fondant and Chocolate
⇒ Cakes with both Fondant and Chocolate = 110 – 100 = 10

Here, we will have a 6^th type of cake which contains both fondant and chocolates.

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Bakery B: 

There are 60 cakes with chocolate, hence there must be 40 cake with fondant on it. But that is not the case.

To make 100 cakes Bakery B did not use Fondant whenever it used Sprinkles, hence it violated guideline number 3.

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Bakery C:

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Bakery C did not use Chocolates whenever it used Fruits, hence it violated guideline number 4.

Bakery D:

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Bakery D has not violated any guideline.

Bakery E:

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Bakery E did not use Fruits whenever it used Frosting, hence it violated guideline number 5.

Hence, option (c).

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