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Exam (elaborations)

Simple Interest Exam Solution and Answer

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Simple interest is an essential concept in finance and economics. However, many students find it challenging to grasp the calculation methods. This note is designed to help you understand the basics of simple interest and provide you with a step-by-step solution to a practice problem.

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1.1: SIMPLE INTERESTS
1. A small family business takes out a simple interest loan of $ 2050 at a rate of 6.7%. What is the
total amount the small family business will repay if the loan is for 4 years?

Given:
F =?
P = $ 2050
r = 6.7% → 0.067
t = 4 years
Formula:
F = P (1 + rt)
Solution:
F = 2050 (1 + 0.067 × 4)
F = 2050 (1 + 0.268)
F = 2050 (1.268)
F = 2599.4
Final Answer:
F = $ 2,599.4

2. Samuel received a $ 1470 loan from a bank. After 6 months, he paid back amounting to $ 1550,
and closed the loan. Find the rate of interest.

Given:
F =$ 1500
P = $ 1470
r =?
t = 6 months → ½ years
Formula:
Interest = F – P
I = Prt
Solution:
Interest = 1550 – 1470
Interest = 80

80 = (1470 × r × ½)

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