# IPM Question Paper 2020 | IPM Rohtak Quantitative Aptitude

###### IPMAT Question Paper | IPMAT Question Paper | Question 14 CAT Questions

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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. ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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