on what sum will the compound interest for 2 years at 4% per annum be Rs 5712
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GIVEN :
Compound Interest (CI) = ₹5712
Time (n) = 2 years
Rate (R) = 4%
Let the principal (sum ) = P
Compound Interest (CI) = Amount - Principal
CI = A - P
5712 = A - P
A = 5712 + P
A=P(1+R/100)ⁿ
5712 + P = P(1+4/100)²
5712 + P =P (1 + 1/25)²
5712 + P = P(26/25)²
5712 + P = P(676/625)
5712 + P = 676 P /625
625P + 5712 × 625 = 676P
5712 × 625 = 676P - 625P
5712 × 625 = 51P
P = (5712 × 625)/51
P = 112 × 625
P = ₹ 70,000
Hence, the sum will be ₹ 70,000.
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