What will be the compound interest on a sum of ₹6,455 after 2 years at the…

2025

What will be the compound interest on a sum of ₹6,455 after 2 years at the rate of 20% per annum?

  1. A.

    ₹2,840.20

  2. B.

    ₹2,260.40

  3. C.

    ₹2,440.50

  4. D.

    ₹2,060.60

Attempted by 35 students.

Show answer & explanation

Correct answer: A

Step-by-Step Solution

  1. Identify the Variables:

    • Principal (P) = 6455

    • Rate (r) = 20%

    • Time (n) = 2 years

  2. Use the Amount Formula for Compound Interest: The formula to find the total amount (A) is: A = P * (1 + r/100)^n

  3. Perform the Calculation:

    • A = 6455 * (1 + 20/100)^2

    • A = 6455 * (1.20)^2

    • A = 6455 * 1.44

    • A = 9295.20

  4. Find the Compound Interest: The compound interest (CI) is the total amount minus the principal:

    • CI = A - P

    • CI = 9295.20 - 6455 = 2840.20

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