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13. A certain sum of money is invested at acertain fixed rate compounded yearly. If theinterest accrued in two years be 44% of thesum borrowed, find the rate of compoundinterest​

Answer»

Answer:

the RATE of compound  interest​ = 20% PER Annum

Step-by-step explanation:

A certain sum of money is invested at a  certain fixed rate compounded YEARLY. If the  interest accrued in two years be 44% of the  sum BORROWED, find the rate of compound  interest​

Let say Sum of Money Invested = P

Interest Rate = R  % Per annum

Compound Interest  after 2 years = P(1 + R/100)² - P

Interest = (44/100)P = 0.44P

=> P(1 + R/100)² - P = 0.44P

=> P(1 + R/100)² = 1.44P

=>  (1 + R/100)² = 1.44

=>  (1 + R/100) = 1.2

=> R/100 = 0.2

=> R = 20

the rate of compound  interest​ = 20% Per Annum



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