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What sum of money will amount to D10,400 in 5 years at 6% simple interest?

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: Option A
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