A sum of 136000 is divided between A, B, C and D such that
A's share/B's share = B's share/C's share = C's share/D's share = 315.
B's share is equal to
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Step-by-step explanation:
Given,
A/B = 3/5
⇒ 5A = 3B
⇒ B = 5/3 A
∴ B = 5/3 A
B/C = 3/5
⇒ 5B = 3C
⇒C = 5/3B = 5/3 (5/3 A) = 25/9 A
∴ C = 25/9 A
C/D = 3/5
⇒ 5C = 3D
⇒ D = 5/3C = 5/3 (25/9 A) = 125/27 A
∴ D = 125/27 A
We know that,
A+B+C+D = 136000
A + 5/3 A + 25/9 A + 125/27 A = 136000
see image
A = 13,500
B = 5/3A = 5/3*13,500 = 22,500
B's Share = 22,500
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Step-by-step explanation:
22500
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