If a certain amount of money is divided equally among n persons, each one receives Rs. 352. However, if two persons receive Rs. 506 each and the remaining is divided equally among the other persons, each of them receive less than or equal to Rs. 330. Then, the maximum posssible value of n is:
Explanation:
n people get average Rs. 352. ∴ Total amount distributed = 352n.
Now, 2 people get a total of 506 + 506 = Rs. 1012 ⇒ Remaining amount = 352n - 1012
The average amount received by other is less than or equal to 330 ∴ 352n-1012n-2 ≤ 330 ⇒ 352n - 1012 ≤ 330n - 660 ⇒ 22n ≤ 352 ⇒ n ≤ 352/22 = 16 ⇒ n ≤ 16
∴ n can take maximum value of 16.
Hence, 16.
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