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2023

Mathematics

JAMB

Find the compound interest (CI) on ₦15,700 for 2 years at 8% per annum compounded annually.

A.

₦6,212.48

B.

₦2,834.48

C.

₦18,312.48

D.

₦2,612.48

Correct Answer: ₦2,612.48

Explanation

Principal (P) = ₦15,700 Rate (R) = 8 Number of years (t) = 2 A = P (1 + R/100)t ⇒ A = 15700 (1 + 8/100)2 ⇒ A = 15700 (1 + 0.08)2 ⇒ A = 15700 (1.08)2 ⇒ A = 15700 x 1.1664 ⇒ A = ₦18,312.48 Total amount, A = ₦18,312.48 A = P + CI ⇒ CI = A - P ⇒ CI = 18,312.48 - 15,700 ∴ CI = ₦2,612.48

Principal (P) = ₦15,700 Rate (R) = 8 Number of years (t) = 2 A = P (1 + R/100)t ⇒ A = 15700 (1 + 8/100)2 ⇒ A = 15700 (1 + 0.08)2 ⇒ A = 15700 (1.08)2 ⇒ A = 15700 x 1.1664 ⇒ A = ₦18,312.48 Total amount, A = ₦18,312.48 A = P + CI ⇒ CI = A - P ⇒ CI = 18,312.48 - 15,700 ∴ CI = ₦2,612.48
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