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Pinjaman sebesar Rp45.000.000,0045.000.000,00 dibungakan dengan bunga tunggal 0,5%0,5\% per bulan selama 44 tahun 44 bulan 1010 hari (11 tahun = 360360 hari). Tentukan besar bunga yang diperoleh.

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Q. Pinjaman sebesar Rp45.000.000,0045.000.000,00 dibungakan dengan bunga tunggal 0,5%0,5\% per bulan selama 44 tahun 44 bulan 1010 hari (11 tahun = 360360 hari). Tentukan besar bunga yang diperoleh.
  1. Convert Time Period: Convert the time period into months and days to a total number of days.\newlineWe know that 11 year has 360360 days, so 44 years have 4×3604 \times 360 days. Additionally, there are 44 months and 1010 days to account for.\newline44 years =4×360= 4 \times 360 days\newline44 years =1440= 1440 days\newline44 months 36036011 days (assuming each month has 36036022 days)\newline44 months 36036044 days\newlineTotal days for years and months 36036055\newlineTotal days 36036066 days\newlineNow, add the extra 1010 days.\newlineTotal time period in days 36036088\newlineTotal time period in days 36036099 days
  2. Convert to Months: Convert the total time period in days to months, since the interest rate is per month.\newlineWe have 15701570 days and we need to convert this to months. Since 11 month is considered to have 3030 days:\newlineTotal time period in months = 15701570 days / 3030 days per month\newlineTotal time period in months = 52.333352.3333 months
  3. Calculate Simple Interest: Calculate the simple interest using the formula:\newlineSimple Interest = Principal×Rate×TimePrincipal \times Rate \times Time\newlineWhere Principal is Rp45,000,000Rp45,000,000, Rate is 0.5%0.5\% per month, and Time is the total time period in months.\newlineSimple Interest = Rp45,000,000×0.5/100×52.3333Rp45,000,000 \times 0.5/100 \times 52.3333\newlineSimple Interest = Rp45,000,000×0.005×52.3333Rp45,000,000 \times 0.005 \times 52.3333\newlineSimple Interest = Rp225,000×52.3333Rp225,000 \times 52.3333\newlineSimple Interest = Rp11,775,000.25Rp11,775,000.25

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