At what rate per cent per annum will rupees 3000 amount to Rupees 3993 in 3 years, the interest being compounded annually?
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Heya ✋
Let see your answer !!!!
Given that
P = ₹3,000
T = 3 years
A = ₹3,993
R = ?
Solution
When the interest is compounded annually
A = P(1 + R/100)^n
=> 3,993 = 3,000(100 + R/100)^3
=> 3,993/3,000 = (100 + R/100)^3
=> 1,331/1,000 = (100 + R/100)^3
=> 3√1,331/1,000 = 100 + R/100
=> 11/10 = 100 + R/100
=> 11 × 100 = 10(100 + R)
=> 1,100 = 1,000 + 10R
=> 1,100 - 1,000 = 10R
=> 100 = 10R
=> R = 100/10
=> R = 10 % p.a.
Thanks :))))
Let see your answer !!!!
Given that
P = ₹3,000
T = 3 years
A = ₹3,993
R = ?
Solution
When the interest is compounded annually
A = P(1 + R/100)^n
=> 3,993 = 3,000(100 + R/100)^3
=> 3,993/3,000 = (100 + R/100)^3
=> 1,331/1,000 = (100 + R/100)^3
=> 3√1,331/1,000 = 100 + R/100
=> 11/10 = 100 + R/100
=> 11 × 100 = 10(100 + R)
=> 1,100 = 1,000 + 10R
=> 1,100 - 1,000 = 10R
=> 100 = 10R
=> R = 100/10
=> R = 10 % p.a.
Thanks :))))
Anonymous:
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Answered by
5
Answer:
here is your anwer
rate is 10%
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