Find the compound interest (CI) on N15,700 for 2 years at 8% per annum compounded

MATHEMATICS
JAMB 2023

Find the compound interest (CI) on N15,700 for 2 years at 8% per annum compounded annually.

  • A. N6,212.48
  • B. N2,834.48
  • C. N18,312.48
  • D. N2,612.48

Correct Answer: D. N2,612.48

Explanation

Principal (P) = N15,700

Rate (R) = 8

Number of years (t) = 2

A = P \((1+\frac{R}{100})^t\)

⇒ A = 15700 \((1+\frac{8}{100})^2\)

⇒ A = 15700 (1 + 0.08)\(^2\)

⇒ A = 15700 (1.08)\(^2\)

⇒ A = 15700 x 1.1664

⇒ A = N18,312.48

Total amount, A = N18,312.48

A = P + CI

⇒ CI = A - P

⇒ CI = 18,312.48 - 15,700

∴ CI = N2,612.48



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