What sum of money will amount to D10,400 in 5 years at 6% simple interest?
MATHEMATICS
WAEC 2016
What sum of money will amount to D10,400 in 5 years at 6% simple interest?
- A. D8,000.00
- B. D10,000.00
- C. D12,000.00
- D. D16,000.00
Correct Answer: A. D8,000.00
Explanation
A = P + 1
I = A - P
= 10,400 - P
Now using I = \(\frac{P \times T \times R}{100}\)
i.e. 10,400 - P = \(\frac{P \times 5 \times 6}{100}\)
= 100(10,400 - P) = 30P
10(10,400 - P) = 3P
104,000 - 10P = 3P
104,000 - 10P = 3P
104,000 = 3P + 10P
= 104,000 = 13P
P = \(\frac{104,000}{100}\)
P = D8,000
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