Solution:
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Here R = 10 %, N = 2 years and CI - SI = 52 .
Let the sum be Rs X. Then,
SI = (P*R*N)/100 = (X * 10 * 2) / 100 = 0.2 X
CI = P (1 + R/100)^N - P
= X ( 1 + 10 / 100 ) ^ 2 - X
= X ( 110 / 100 ) ^ 2 - X
= X (( 110 / 100 ) ^ 2 - 1 )
= 0.21 X
:. CI - SI = 0.21 X - 0.2 X = 0.01 X
So, 0.01 X = 52
=> X = 5200 .
Hence, Sum = Rs 5200.
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