Question:
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
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
Updated On: Sep 17, 2024
- 15
- 17
- 16
- None of Above
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The Correct Option is C
Solution and Explanation
It is stated that “If a certain amount of money is divided equally among n persons, each one receives Rs 352 .”
Thus, the total amount of money is n×352 = 352n
Also understood the fact that “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”
Therefore, the majority of money with them
\(= 506\times2 + (n-2)\times330 \)
\(= 1012+330n-660 \)
\(= 352+330n.\)
\(352+330n ≥ 352n \)
\( 22n ≤ 352 \)
\(n ≤ 16.\)
So, the maximum value that n can take is 16.
The correct option is (C): 16.
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