Bunuel wrote:

A shopkeeper mentally reversed the digits of a customer’s correct amount of change and thus gave the customer an incorrect amount of change. If his collection showed 54 cents more than it should have, which of the following could be the correct amount of change in cents?

(A) 24

(B) 35

(C) 64

(D) 75

(E) 93

Using Options:

If the shopkeeper had to give ab cents, he actually gave ba cents. At the end of the day, he had 54 cents extra.

It means he had a give a higher amount ab (correct amount) but gave a smaller amount ba.

So you tens digit should be greater than units digit and if you inverse the digits and subtract, you should get 54.

24, 35 - tens units less than units digit so outright rejected.

64 - 46 gives less than 20 - rejected

75 - 57 gives less than 20 - rejected

Answer 93 (93 - 39 = 54)

_________________

Karishma

Veritas Prep GMAT Instructor

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