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In Math / Senior High School | 2025-08-11

In one whole sheet. Show your solution.

Instructions: Read and solve each word problems involving percentage related to simple interest rate.

1. How much interest is earned on ₱6,200 at 4% for one year?
2, What was the interest rate if your balance on an investment of ₱27,750 at the end of six years is ₱41,070?
3. At what rate was an investment made that obtains ₱2,520 on ₱10,500 over four years?
4. If a loan is taken out for ₱15,900 at 9% and costs ₱8,586, how long was the loan for?
5. A bank is offering 3.5% simple interest on a savings account. If you deposit ₱10,555, how much interest will you earn in two years?
6. If you borrow ₱75,000 for two and half years at an interest rate of 9.5%, what is the maturity value

Asked by yllanaaquino1

Answer (1)

Here's how to solve the problem:Use simple interest: I = Prt and A = P + Iwhere:P = principalr = rate (decimal)t = time (years)I = interestA = amount/maturity value.1.) How much interest is earned on ₱6,200 at 4% for one year? P = ₱6,200, r = 0.04, t = 1I = 6200(0.04)(1) = ₱2482.) What was the interest rate if your balance on an investment of ₱27,750 at the end of six years is ₱41,070?P = ₱27,750, A = ₱41,070, t = 6 ⇒ I = A-P = ₱13,320r = I/Pt = 13320/27750 · 6 = 0.08 = 8%3.) At what rate was an investment made that obtains ₱2,520 on ₱10,500 over four years?P = ₱10,500, I = ₱2,520, t = 4r = I/Pt = 2520/10500 · 4 = 0.06 = 6%4.) If a loan is taken out for ₱15,900 at 9% and costs ₱8,586, how long was the loan for?P = ₱15,900, r = 0.09, I = ₱8,586r = I/Pr = 8586/15900 · 0.09 = 6 years5.) A bank is offering 3.5% simple interest on a savings account. If you deposit ₱10,555, how much interest will you earn in two years?P = ₱10,555, r = 0.035, t = 2I = 10555(0.035)(2) = 10555(0.07) = ₱738.856.) If you borrow ₱75,000 for two and half years at an interest rate of 9.5%, what is the maturity valueP = ₱75,000, r = 0.095, t = 2.5I = 75000(0.095)(2.5) = ₱17,812.50Maturity value: A = P + I = ₱75,000 + ₱17,812.50 = ₱92,812.50

Answered by PrincessUmbriel | 2025-08-21