A principal becomes ₹ 19,683 in 3 years at 8 percent per annum compound interest, compounding annually. What is the principal? 

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SSC GD Constable (2022) Official Paper (Held On : 13 Feb 2023 Shift 4)
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  1. ₹ 16,825
  2. ₹ 14,825
  3. ₹ 15,625
  4. ₹ 13,526

Answer (Detailed Solution Below)

Option 3 : ₹ 15,625
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Detailed Solution

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Given:

Amount after 3 years = ₹19,683

Rate of interest = 8%

Time = 3 years

Concept: 

A = P(1 + r/n)(nt) where A is the amount, P is the principal, r is the rate of interest, n is the number of times the interest is compounded per year, and t is the time.

Solution:

⇒ ₹19,683 = P(1 + 8%/1)(1×3)

⇒ Solving for P gives P = ₹15,625

Hence, the principal is ₹15,625.

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