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The average (arithmetic mean) amount of savings of ten students is Rs. 600. Three of the students have no savings at all and each of the others have at least Rs. 250 including Nihar, who has exactly Rs. 1300. The largest amount, in Rs., that any one student could have saved is
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- Rs. 3250
- Rs. 3450
- Rs. 3650
- Rs. 3850
- Rs. 3250
Correct Option: B
Here , The average amount of savings of ten students = Rs. 600
Total savings by 10 students = Rs. (10 × 600) = Rs. 6000
Three of the students have no savings.
Total savings by 6 students = Rs. (6000 – 1300) = Rs. 4700
Let the savings by each of 5 students be Rs. 250.
∴ Largest amount of savings = Rs. (4700 – 5 × 250)
∴ Largest amount of savings = Rs. (4700 – 1250) = Rs. 3450
