Others Maths Puzzle

The avg 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 avg earning of the group decreses by Rs 1. If the minimum earning of the person in the group lies between 42 and 47 and the no.of persons initially in the group was equal to a prime number , with both its digit prime. The no.of persons in the group initially was :
1. 29
2. 53
3. 31

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Others Other Question

Two salesmen A and B together sold 30 pens. A sold all his pens at the same rate, so does B. Though A sold his pens at a
different rate than at a rate B sold, they both receive the same amount after selling all their pens. If A had sold his pens
at the rate at which B sold, he would have received Rs.320. If B had sold his pens at the rate at which A sold, he would
have received Rs.245. At what price did B sell each of his pens?
A vessel of capacity 2 litre has 25% alcohol and another vessel of capacity 6 litre had 40%alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. what is the new concentration of mixture ?
29% 49%
31% 71%
None of these