Let Jim's service cost x and Nancy's service cost y. Both these amounts are discounted to an extent. The question is asking if the discount amount of y < discount amount of x.

I guess the might be confusion with what the question is asking for. Please note its not "discounted" price, but the discount price.

Unless we know what the actual values of x and y are, we cannot conclude if discount(y)<discount(x)

Option 1 - indicates that

discount(x) = 8x/10

discount(y) = 7y/10

This gives us no clue to x and y, hence not enough.

Option 2 -

8x/10 + 10 = x

Implies, x = 50. But you don't actually need to solve this. Just the confirmation that one can derive x from the above equation is enough.

Similarly, for Nancy we have

7y/10 + 12 = y.

From these two equations, we can find x and y. Hence finding out if 3y<2x is also possible.

Answer - option B

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