Question:
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
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