Question:

Which of the following was the greatest?

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Convert every candidate into a fraction of the total: outer slice percentage \(\times\) inner slice percentage. Then compare numerically.
Updated On: Sep 3, 2025
  • The amount invested in Municipal Bonds that yielded between 7\% and 9\%.
  • The amount invested in State-issued Bonds.
  • The amount invested in High Risk Stocks.
  • The amount invested in Municipal Bonds that yielded over 9\%.
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The Correct Option is A

Solution and Explanation


From the pies: Govt.\ Bonds \& Sec.\ \(=48.3\%\) of total; within it, Municipal \(=56\%\). Within Municipal (third pie): \(65\%\) at \(7\%-9\%\) yield; the rest \(35\%\) is over \(9\%\). Shares of the total portfolio: \[ \begin{aligned} \text{Municipal at }7\%-9\% &: 48.3\%\times 56\%\times 65\% \approx 17.58\%\,,
\text{Municipal over }9\% &: 48.3\%\times 56\%\times 35\% \approx 9.47\%\,,
\text{State-issued Bonds} &: 48.3\%\times 26\% \approx 12.56\%\,,
\text{High Risk Stocks} &: 8.9\%\,. \end{aligned} \] The largest share is the \(Municipal Bonds at 7\%-9\%\) bucket (about \(17.6\%\)). \[ \boxed{\text{Option (a)}} \]
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