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Find the missing figures and choose the correct alternative:

\begin{tabular}{|c|c|c|c|}
\hline Round & Deposits & Loans (80\%) & \begin{tabular}{c}
Reserve Ratio \\
(20\%)
\end{tabular} \\
\hline I & 5000 & 4000 & ..(i).. \\
\hline II & 4000 & ..(ii).. & 800 \\
\hline .. & [tex]$\ldots$[/tex] & [tex]$\ldots$[/tex] & [tex]$\ldots$[/tex] \\
\hline ... & [tex]$\ldots$[/tex] & [tex]$\ldots$[/tex] & [tex]$\ldots$[/tex] \\
\hline Total & ..(iii).. & ..(iv).. & 5000 \\
\hline
\end{tabular}

Alternatives:
A. [tex]$1000, 800, 20000, 25000$[/tex]
B. [tex]$5000, 3200, 25000, 20000$[/tex]
C. [tex]$1000, 3200, 25000, 20000$[/tex]
D. [tex]$1000, 800, 20000, 25000$[/tex]


Sagot :

Let's solve the problem by filling in the missing figures for each round and the totals given the alternatives provided.

1. Reserve Ratio for Round I (i):
- Deposits in Round I are 5000.
- Loans in Round I are 4000.
- The Reserve Ratio for Round I will be the difference between the deposits and loans.

[tex]\[ \text{Reserve Ratio (i)} = 5000 - 4000 = 1000 \][/tex]

2. Loans for Round II (ii):
- Deposits in Round II are the loans from Round I, which is 4000.
- Reserve Ratio for Round II is given as 800.
- Loans for Round II will be the difference between the deposits and the reserve ratio.

[tex]\[ \text{Loans (ii)} = 4000 - 800 = 3200 \][/tex]

3. Total Deposits (iii):
- The total deposits are the sum of deposits from Round I and Round II.

[tex]\[ \text{Total Deposits (iii)} = 5000 + 4000 = 9000 \][/tex]

4. Total Loans (iv):
- The total loans are the sum of loans from Round I and Round II.

[tex]\[ \text{Total Loans (iv)} = 4000 + 3200 = 7200 \][/tex]

5. Reserve Ratio Total Check:
- The given the reserve ratio total is 5000, let's check if the calculations align with this.
- Reserve Ratio for Round I is 1000.
- Reserve Ratio for Round II is 800.
- Adding the remaining reserve required to total 5000.

The remaining reserve can be verified as:
[tex]\[ 5000 = 1000 + 800 + 3200 \][/tex]

Using these calculations, the correct answer is:
- (i) = 1000
- (ii) = 3200
- (iii) = 9000
- (iv) = 7200

Given the options, the closest match is:
(C) [tex]\(1000, 3200, 25000, 20000\)[/tex]

However, since it does not match with all the values exactly, we recheck:

It should not be:

(C) - correct options provided must have been misinterpreted, ensure checking the closest right numbers.

Final answer determined by the only possible match computation values reflecting accurately:

[tex]\( {} 1000, 3200, 9000, 7200\)[/tex]

Ensure closest verification accuracy.
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