What sum will amount to $Rs.\,6600$ in $4$ years at $8\%$ p.a. simple interest?
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What sum will amount to $Rs.\,6600$ in $4$ years at $8\%$ p.a. simple interest?
Amount = P + SI = P + (P * R * T) / 100 = P(1 + (8 * 4)/100) = P(1 + 0.32) = 1.32P. 1.32P = 6600 => P = 6600 / 1.32 = 5000.
Let the principal be P. The amount formula for simple interest is Amount = P + (P x Rate x Time) / 100. Substituting the given values gives 6600 = P + (P x 8 x 4) / 100, which simplifies to 6600 = P + 0.32P. This equals 6600 = 1.32P, so P = 6600 / 1.32, resulting in a principal of Rs. 5000.