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### Problem 1:
**Bu Yani menyimpan uang di bank A sebesar Rp 20.000.000,- dengan menggunakan sistem bunga tunggal per tahun. Jika selama 6 bulan uang Bu Yani menjadi Rp 21.200.000,- Maka persentase yang diberikan oleh bank A adalah ....**

This is a simple interest problem where we are given the principal \(P = 20,000,000\), final amount \(A = 21,200,000\), and time \(t = 6\) months (or 0.5 years). We need to find the interest rate \(r\) using the formula for simple interest:

\[
A = P(1 + rt)
\]

### Problem 2:
**Pada tahun 2011, Eka menabung uang Rp 10.000.000,- dengan bunga majemuk. Jika pada tahun 2020 tabungan Eka menjadi Rp 80.000.000,-, maka tabungan Eka pada tahun 2017 adalah ....**

This is a compound interest problem. The initial amount \(P = 10,000,000\), the final amount \(A = 80,000,000\), and the time period from 2011 to 2020 is 9 years. We are asked to find the amount in 2017, which is 6 years from 2011. The formula for compound interest is:

\[
A = P(1 + r)^t
\]

We need to calculate the interest rate first using the given 9-year period, and then apply it to the 6-year period.

### Problem 3:
**Imam dan Rian menabung dengan bunga majemuk. Setelah 12 tahun, uang yang dimiliki Imam Rp 8.000.000,- lebih banyak daripada uang Rian. Jika pada tahun ke-24 selisih uang Imam dan Rian menjadi Rp 14.000.000,-, maka selisih uang Imam dan Rian pada awalnya adalah ....**

This is another compound interest problem involving two accounts. The question provides information about the difference in the amounts after certain years, and we are tasked with finding the initial difference.

### Problem 4:
**Suatu pinjaman dengan suku bunga majemuk 13% per tahun akan dilunasi dengan anuitas tahunan. Jika angsuran kedua dari pinjaman tersebut adalah Rp 734.500,- Maka besar angsuran ke 4 adalah ....**

This problem involves calculating the fourth payment in a loan repayment plan with compound interest and annuities. The interest rate is given as 13%, and we are given the second payment. We need to use the annuity formula to determine the fourth payment.

### Problem 5:
**Seorang pedagang meminjam uang di bank sebesar Rp 10.000.000,- yang akan dilunasi selama setahun menggunakan anuitas bulanan. Jika besar bunga pinjaman 6% per tahun, maka tentukan:**
a. besar anuitasnya  
b. besar angsuran ke 5  
c. sisa hutang pada akhir bulan ke 7  

This is an annuity calculation problem where a loan is repaid over 12 months (1 year) with a 6% annual interest rate. We need to calculate the monthly payment (annuity) and determine the 5th payment and remaining balance after 7 months.

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I will solve each problem one by one. Would you like to start with Problem 1?

Soal Ulangan Harian - Bunga dan Anuitas: A series of questions about interest rates, annuities, and compound interest, presented in Indonesian.

This page covers various math problems related to interest rates and annuities, including simple interest, compound interest, and monthly payments using annuities. Explore the steps to solve each problem with detailed formulas and calculations.

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