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If a certain amount of money is divided among X persons each person receives RS 256 , if two persons were given Rs 352 each and the remaining amount is divided equally among the other people each of them receives less than or equal to Rs 240 . The maximum possible value of X is :

A20

B18

C14

D24

Answer:

C. 14

Read Explanation:

A certain amount of money is divided among X persons each person receives RS 256 total amount = 256X two persons were given Rs 352 each the sum = 352 × 2 = 704 remaining amount is divided equally among the other people each of them receives less than or equal to Rs 240 (X - 2) persons gets an amount less than or equal to 240 sum = 240(X - 2) 256X = 704 + (X - 2)240 256X = 704 + 240X - 480 = 240X + 224 256X - 240X = 224 16X = 224 X = 224/16 = 14

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