Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 20 of Exercise 9.4

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In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2 = 0.6931).

let t be time

p be principal

r be rate of interest

according the information principal increases at the rate of r% per year.

Separating variables,

Integrating both sides,

Given that t = 0, p = 100.

Now, if t = 10, then p = 2×100 = 200


So r is 6.93%.


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