SBY membuka deposito $Rp\ 1.000.000.000,-$ dengan jangka waktu $6$ bulan dengan bunga $16\%$ pa. Pada bulan keempat dia memerlukan dana untuk kampanye sehingga serdeponya dicairkan, berapa nilai nominal yang diterimanya apabila bank memberikan penalty $13\%$ . Pajak dikenakan pada simpanan apabila lebih besar atau sama dengan $Rp\ 7.000.000,-$ dengan nilai $10\%$ per tahun.

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Grade 7

Solve two-step equations: word problems

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Q. SBY membuka deposito

Rp\ 1.000.000.000,-

dengan jangka waktu

6

bulan dengan bunga

16\%

pa. Pada bulan keempat dia memerlukan dana untuk kampanye sehingga serdeponya dicairkan, berapa nilai nominal yang diterimanya apabila bank memberikan penalty

13\%

. Pajak dikenakan pada simpanan apabila lebih besar atau sama dengan

Rp\ 7.000.000,-

dengan nilai

10\%

per tahun.

Calculate Interest Earned: Calculate the interest earned for $4$ months. $\newline$ Interest for $4$ months = Principal $\times$ Rate $\times$ Time $\newline$ = $1,000,000,000 \times (16/100) \times (4/12)$ $\newline$ = $53,333,333.33$
Calculate Total Amount: Calculate the total amount before penalty. $\newline$ Total amount before penalty = Principal + Interest $\newline$ = $1,000,000,000 + 53,333,333.33$ $\newline$ = $1,053,333,333.33$
Calculate Penalty Amount: Calculate the penalty amount. $\newline$ Penalty = Total amount before penalty $\times$ Penalty rate $\newline$ = $1,053,333,333.33 \times (13/100)$ $\newline$ = $136,933,333.33$
Calculate Total Amount After Penalty: Calculate the total amount after penalty. $\newline$ Total amount after penalty = Total amount before penalty - Penalty $\newline$ = $1,053,333,333.33 - 136,933,333.33$ $\newline$ = $916,400,000$
Check Tax: Check if tax applies. $\newline$ Since the total amount after penalty is less than $7,000,000$ , no tax is applied.
Final Calculation Error Check: Final calculation error check. $\newline$ Final amount received = Total amount after penalty $\newline$ = $$916$,$400$,$000$