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Question : The average (arithmetic mean) amount of savings for ten students is Rs. 600. Three of the students have no savings at all, and each of the others has at least Rs. 250, including Nihar, who has exactly Rs. 1300. The largest amount, in rupees, that any one student could have saved is:

Option 1: Rs. 3,250

Option 2: Rs. 3,450

Option 3: Rs. 3,650

Option 4: Rs. 3,850


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: Rs. 3,450


Solution : Average saving of 10 students = Rs. 600
Total savings of 10 students = 10 × 600 = 6,000
Three students have no savings.
Nihar's savings = Rs. 1,300
Rest of the 6 student's minimum savings = 6 × 250 = 1,500
$\therefore$ Remaining savings = 6000 – 1300 – 1500 = 3,200
Largest savings = remaining savings + individual savings = 3200 + 250 = 3,450
Hence, the correct answer is Rs. 3,450.

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