Multiple choice

There were 50 students in a hostel. If the number of students increases by 10, the expenses of the mess increase by Rs 180 while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess? एक छात्रावास में 50 छात्र थे। यदि छात्रों की संख्या 10 बढ़ जाती है, तो भोजनालय का व्यय 180 रुपये बढ़ जाता है, जबकि प्रति व्यक्ति औसत व्यय 1 रुपये कम हो जाता है। तो छात्रावास में भोजन का मूल व्यय ज्ञात कीजिये?

  1. 1800

  2. 1600

  3. 1650

  4. 1200

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

Let original average expenditure be x rupees. Original total = 50x. When 10 students join, total = 60(x-1) = 60x - 60. This equals 50x + 180. So 60x - 60 = 50x + 180, giving 10x = 240, so x = 24. Original expenditure = 50 × 24 = Rs 1200. Option D is correct.