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IPMAT Question Paper | IPMAT Question Paper | Question 14

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Question 14 : Imagine that there are four hundred and fifty nine managers in a hotel. If the number of managers is enlarged by 36, the expenses of the food increased by Rs. eighty one per day while the average spending per head decreased by one. Find the original spending of the hotel on food?

  1. 7344
  2. 7244
  3. 7044
  4. 7444

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Explanatory Answer

The fixed cost F and Variable cost V .
F + 459V = x
The total number of managers = 459 + 36 = 495
The new cost equation will be
F + 495V = x + 81
Let the original cost of plate be y.
y = \\frac{x}{459})
, x = 459y
The new average is y -1

\\frac{x+81}{495}) = y - 1,
x + 81 = 495y - 495
81 + 495 = 495y - x
Substituting the value of x = 459y, we get y = 16
Hence, x = 459y
= 459 × 16
= 7344.

The answer is 7344

Choice A is the correct answer.

 

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