the simple interest and compound interest on certain sum of money for two years are $400 and $410 respectively. find the sum of money and rate of interest
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489000
$57.62
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⇒ It is given that simple interest in 2 years = Rs.400
⇒ Simple interest for 1 year = Rs.200
⇒ Hence, Compound interest for 1 year = Rs.200
⇒ Given compound interest for 2 years = Rs. 410
∴ Compound interest for 2 years = Compound interest 1st year + Compound interest 2nd year
⇒ Compound interest for 2nd year = Rs.410 - Rs.200 = Rs.210
⇒ That is interest on Rs.200 for 1 year = Rs.210-Rs.200=Rs.10
⇒ We know I= P×T×R /100
⇒ 10= 200×1×R /100
⇒ 2R=10
∴ R=5%
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