The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19.

(2) If the total cost of the dinner had been shared equally by k +1 of the n employees who attended the dinner, each of the k +1 employees would have paid $18.

Total cost of the dinner: k(cost paid by each employee)

Statement I is insufficient

It just tells about the cost paid by each employee however we need the total cost of the dinner means the value of k as well.

Statement II is insufficient

Total cost of dinner = 18(k+1)

Again value of k is unknown

Combining is sufficient

Total cost = 19k = 18(k+1)

18k + k = 18k + 18

k = 18

Hence answer is C

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