Multiple choice

A class consists of students whose average weight is 65.5. Four students of 72.2 kg, 70.3 kg, 67.7 kg and 70.8 kg, joined the class and the average weight increased by 500 gms. Find the initial number of students. एक कक्षा में कुछ छात्रों का औसत वजन 65.5 किलोग्राम है । 72.2 किग्रा, 70.3 किग्रा, 67.7 किग्रा और 70.8 किग्रा के चार छात्र कक्षा में शामिल होते है जिससे औसत वजन 500 ग्राम बढ़ गया । छात्रों की प्रारंभिक संख्या ज्ञात कीजिए ।

  1. 16

  2. 20

  3. 24

  4. 34

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

Let n be the initial number of students. Total initial weight = 65.5n. After 4 students join: total weight = 65.5n + (72.2 + 70.3 + 67.7 + 70.8) = 65.5n + 281. New average = 65.5 + 0.5 = 66. So: (65.5n + 281)/(n+4) = 66. Solving: 65.5n + 281 = 66n + 264, so 17 = 0.5n, giving n = 34.