Multiple choice

If a principal value of ₹4,000 compounds annually at an interest rate of 5% per annum, what will the cumulative compound interest gain measure at the absolute end of 2 years?

  1. ₹410

  2. ₹420

  3. ₹430

  4. ₹440

  5. ] none

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A Correct answer
Explanation

Compound interest = P * ((1 + r/100)^t - 1). For P=4000, r=5, t=2: 4000 * ((1.05)^2 - 1) = 4000 * (1.1025 - 1) = 4000 * 0.1025 = 410.

AI explanation

Using the compound interest formula for the amount, A equals 4000 times the quantity 1 plus 5 divided by 100 quantity squared. This simplifies to 4000 times 1.1025, which equals 4,410. The compound interest gain is the final amount minus the principal, so 4,410 minus 4,000 equals 410.