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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 amount is divided equally among the other persons, each of them receive less than or equal to Rs 330. Then, the maximum possible value of n is
Correct answer is '16'. Can you explain this answer?
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Verified Answer
If a certain amount of money is divided equally among n persons, each ...
Let the total amount be equal to T.
T = n × 352
“However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330”
 
So, the maximum value that n can take is 16.
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Most Upvoted Answer
If a certain amount of money is divided equally among n persons, each ...
Explanation:

Given:
Total amount of money = Rs 352n
Amount received by each person in case of equal division = Rs 352
Amount received by two persons = Rs 506 each

Case 1:
When the total amount is divided equally among n persons, each person receives Rs 352
352n = 352n
n = 1

Case 2:
When two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each person receives less than or equal to Rs 330
Amount received by the 2 persons = 2 x 506 = 1012
Remaining amount = Total amount - Amount received by 2 persons = 352n - 1012
Amount received by the other (n-2) persons = (352n - 1012) / (n-2)
Given that each person receives less than or equal to Rs 330
(352n - 1012) / (n-2) ≤ 330
Solving the inequality:
352n - 1012 ≤ 330n - 660
22n ≤ 352
n ≤ 16
Therefore, the maximum possible value of n is 16.
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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 amount is divided equally among the other persons, each of them receive less than or equal to Rs 330. Then, the maximum possible value of n isCorrect answer is '16'. Can you explain this answer?
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