Multiple choice

There were 35 students in a hostel. If the number of students is inreased by 7 the expenditure on food has incrased by Rs. 42 per day while the average expenditure of students is reduced by Rs.1.What was the initial expenditure on food per day? किसी छात्रावास में 35 विद्यार्थी थे। यदि विद्यार्थियों की संख्या 7 बढ़ जाती है, तो भोजन पर प्रतिदिन खर्चा 42 रू. बढ़ जाता है, जबकि प्रत्येक छात्र का औसत खर्चा रू. 1 कम हो जाता है। छात्रावास का प्रारंभिक खर्चा कितना था?

  1. 360

  2. 420

  3. 390

  4. 370

  5. 450
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial expenditure be x. Average per student initially = x/35. After 7 more students: average = (x+42)/42. Given: x/35 - (x+42)/42 = 1. Solving: x/35 - x/42 - 1 = 1, which gives x(1/35 - 1/42) = 2, so x(1/210) = 2, hence x = 420.

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