Divide ₹1,300 between two persons such that 25% of one's share is equal to the 40% share of the other. Find the share of each person.
Divide ₹1,300 between two persons such that 25% of one's share is equal to the 40% share of the other. Find the share of each person.
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Let 1st person got amount x and 2nd person got y.
Then by question, x+y= 1300......(1) and
25%of x= 40%of y..........(2)
25x/100 =40y/100
25x = 40y
Therefore, x = (40/25)y = 8y/5.....(3)
Now , using this in equation (1), we get
x+y=1300
Or, (8y/5)+y =1300
Or,8y+5y/5 =1300
Or, 13y =1300×5
Therefore,y= 500.
Using this value of y in equation (1), we get
x=800.