An amount of rs.1250is distributed among A,B and C in yhe ratio 4:7:14 .What is the ratio between the difference of shares of B and A and the difference of shares of C and B
Answers
divide amount rs 1250
rotio a.,b,c=
4:7:14
4x+7x+14x=1250
25x = 1250 / 25 =50
share of B =7x=7×50=350
share of A = 4x=4×50=200
difference in share
C =14×50=700
B=7x50=350
Ratio of difference of shares of B and A and difference of shares of C and B is 3 : 7
Solution:
Given that,
An amount of Rs 1250 is distributed among A,B and C in the ratio 4:7:14
Ratio is : 4 : 7 : 14
Let the share of A be 4x
Let the share of B be 7x
Let the share of C be 14x
Total amount = 1250
4x + 7x + 14x = 1250
25x = 1250
x = 50
Therefore,
Share of A = 4x = 4(50) = 200
Share of B = 7x = 7(50) = 350
Share of C = 14x = 14(50) = 700
Difference of shares of B and A = 350 - 200 = 150
Difference of shares of C and B = 700 - 350 = 350
Ratio = 150 : 350 = 3 : 7
Thus, ratio of difference of shares of B and A and difference of shares of C and B is 3 : 7
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