of money grows by Rs 5296 then find the sum of money invested.
8. How much should Ratan invest in an agency which pays interest at the rate of 9% compound
annually to get an amount of Rs 71,286 in 2 years?
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Answers:- Rs. 60002.525
Given
Total Amount (A) = 71286
rate of intrest (R) = 9%
Time (n) = 2 years
to find principle amount p
we know that
A = p( 1 + R/100 ) ^n
substitute given values in identity
71286 = p( 1 + 9/100 ) ^2
71286 = p( (100+9)/100 ) ^2
71289 = p( 109/100 ) ^2
71289 = p( 11881/10000)
p = 71289 × 10000/11881
p = 60002.525
therefore
Required principle amount is
Rs. 60002.525
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