Multiple choice

There is 459 students in a hostel. If the number of students increased by 36, the expenses of the mess increased by Rs .81 per day while the average expenditure per head reduced by 1. Find the original expenditure of the mess? एक छात्रावास में कुल 459 छात्र है। यदि छात्रों की संख्या 36 बढ़ जाये और भोजनालय का खर्च 81 रुपये से बढ़ जाए तो प्रति व्यक्ति खर्च 1 रुपया कम हो जायेगा। तो भोजनालय का वास्तविक खर्च क्या होगा ?

  1. 7304

  2. 7314

  3. 7334

  4. 7344

  5. None of these इनमे से कोई नही

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let original average expenditure be x Rs. Original total = 459x. New average = x-1, new total = 495(x-1) = 495x-495. Given new total = 459x + 81. Solving 459x + 81 = 495x - 495 gives 36x = 576, so x = 16. Original expenditure = 459 × 16 = 7344 Rs. Option D is correct.