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
