Question

The average earning of a group
of persons is Rs. 50 per day. The
difference between the highest
earning and lowest earning of
any two persons of the group is
Rs. 45. If these two people are
excluded the average earning
of the group decreased by Rs. 1.
If the minimum earning of the
person in the group lies
between 42 and 47 and the
number of persons initially in the
group was equal to a prime
number, with both its digits
prime. The number of persons in
the group initially was ?
Select one:
a. 29
b. 53
c. 31
d. None of these​

Answer 1

Step-by-step explanation:

50x-(x-2)49=H+L

x+98=H+L

Given H-L=45. L lies bw 42-47 and x is prime no. Hence only satisfying value of L is 45. Which gives x=37