9. If the compound interest on the certain sum for two years at 10% per annum is 2100, obtain the
simple interest on it at the same rate for two years.
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Answer:
Given, rate r=5%, n=2 years, compound interest = Rs. 1100
Compound interest = Amount− Principal
Therefore, 1100=P(1+
100
5
)
2
−P
⇒1100=P(1.05)
2
−P
⇒1100=1.1025P−P
⇒P=
0.05
1100
⇒P= Rs. 22000
Simple interest =
100
PRT
=
100
22000×5×2
Simple interest = Rs. 2200
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