2400sq.m is divided among 3 people in the ratio of 1/3,1/4, and x.calculate the area of each person would get
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It is given that 2400 sq. m of area is divided among 3 people in the ratio of 1/3, 1/4 and x. Now, the sum of all the shares of these three people should be 1 and we can use this fact to determine the value of x,
1/3 + 1/4 + x = 1
x= 1- (1/3 + 1/4) [ by transferring the sum 1/3+1/4 from the left hand side to the right hand side of the equation]
x=1 - 7/12
x=5/12
So, the share of the 3rd person is 5/12. Which means that the land is divided among the three people in the ratio of -
1/3 : 1/4 :5/12
=4/12 : 3/12 : 5/12
=4:3:5
Thus, the land is divided among the three people in the ratio of 4:3:5 and the shares each of three people obtain are as follows,
Share of the first person -
4/12 × 2400 = 800 sq.m
Share of the second person -
3/12 × 2400 = 600 sq.m
Share of the third person -
5/12 × 2400 = 1000
Thus, when the land with an area of 2400 sq.m is divided among three people with the ratio of 1/3:1/4:5/12, the three people get an area of 800 sq.m, 600 sq.m and 1000 sq.m respectively.