Rakesh distributed Rs.50000 into (x,y,z) 3 groups having 50 people in total. The number of people in group X is equal to number of people in group Z and the total money got by group Y is equal to the total money got by group Z. The average money got by group X and Y is Rs. 3500/3 and average money got by group Y and Z is Rs. 1000. Find the number of people in group Y
Answers
Given : Rakesh distributed Rs.50000 into (x,y,z) 3 groups having 50 people in total. The number of people in group X is equal to number of people in group Z and the total money got by group Y is equal to the total money got by group Z. The average money got by group X and Y is Rs. 3500/3 and average money got by group Y and Z is Rs. 1000.
To find : the number of people in group Y
Solution:
Total Money = Rs 50000
Total People = 50
Let say people in Group X & Z = P
People in Group Y = 50 - 2P
The average money got by group X and Y is Rs. 3500/3
Money got by Group X & Y = (P + 50 - 2P) (3500/3)
= (50 - P)3500/3
average money got by group Y and Z is Rs. 1000
Money got by Group Y & Z = (P + 50 - 2P) (1000)
= (50 - P)1000
total money got by group Y is equal to the total money got by group Z
Money Got by Y = Z = (50 - P)1000/2
= (50 - P)500
Money got by Group X & Y + Money Got by Z
(50 - P)3500/3 + (50 - P)500 = 50000
=> (50 - P)7/3 + (50 - P) = 100
=> (50 -P)* 10 = 300
=> 50 -P = 30
=> P = 20
X = Z = 20
Y = 10
number of people in group Y = 10
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