divide 7000 among A,B and C such that A gets 50%of what B gets and B gets 50% of what c gets
Answers
Answered by
2
let C's share=20A,
then
B's share= 50% of C's share,
B's share=50/100 × 20A,
=10A,
then
A's share=50% of B's share,
A's share=50/100 × 10A,
=5A,
hence ratio of A, B and C shares=5A:10A:20A,
=1:2:4,
therefore
C's share =7000×4/7,
=1000×4=4000
then
B's share= 50% of C's share,
B's share=50/100 × 20A,
=10A,
then
A's share=50% of B's share,
A's share=50/100 × 10A,
=5A,
hence ratio of A, B and C shares=5A:10A:20A,
=1:2:4,
therefore
C's share =7000×4/7,
=1000×4=4000
Answered by
11
Let the amount C get be x
The amount B gets = 0.5x
The amount A gets = (0.5)(0.5x) = 0.25x
The total amount to be divided is 7000:
x + 0.5x + 0.25x = 7000
1.75x = 7000
x = 7000 ÷ 1.75 = 4000
Find the amount c gets:
C = x = 4000
Answer: C got 4000
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