# The amounts of ₹ 7500 at compound interest at 4% per annum for 2 years is:

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The amounts of ₹ 7500 at compound interest at 4% per annum for 2 years is:
1. ₹ 8100
2. ₹ 8082
3. ₹ 7800
4. ₹ 8112

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Correct Answer - Option 4 : ₹ 8112

Given:

Principal (P) = Rs. 7500

Rate % (R)= 4% per annum

Time Period (T) = 2 years

Formula Used:

${\rm{Amount}} = {\rm{P}}{\left[ {1 + \;\frac{R}{{100}}} \right]^T}\;$

Calculation:

${\rm{Amount}} = 7500{\left[ {1 + \;\frac{4}{{100}}} \right]^2}\;$

⇒ Amount = 7500 × [104/100]2

⇒ (7500 × 26 × 26)/(25 × 25)

⇒ 12 × 676 = Rs. 8112

∴ The Amount After 2 years will be Rs. 8112