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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