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GMAT Problem Solving (PS) | Re: A sum of money was divided between John and Bob so that the ratio of

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Bunuel wrote:

A sum of money was divided between John and Bob so that the ratio of John’s share to Bob’s share was 5 : 3. If John’s share exceeded (5/9)th of the total sum of money by $50, what was Bob’s share?

(A) $180
(B) $270
(C) $340
(D) $450
(E) $720


\(John : Bob = 5:3\)

Total amount\(= 5x + 3x = 8x\)

John’s share exceeded(\(\frac{5}{9}\) )th of the total sum of money by\($50\) .

\(\frac{5}{9}*x = 50\)
\(x = 90\)
Bob's Share\(= 3x = 3*90 = $270\)

Answer (B)...
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