#### Question

In how many years ₹700 will amount to ₹847 at a compound interest rate of 10 p.c.p.a.

#### Solution

Here, P = Principal = ₹ 700

A = Amount = ₹ 847

R = 10 %

N = N years

A = P `(1 + "R"/100)^"N"`

= 847 = 700 `(1 + 10/100)^"N"`

= `847/700` = `(1 + 1/10)^"N"`

= `121/100` = `(11/10)^"N"`

= `(11/10)^2` = `(11/10)^"N"`

= N = 2

Hence, the number of years is 2 years.

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Solution In How Many Years ₹700 Will Amount to ₹847 at a Compound Interest Rate of 10 P.C.P.A. Concept: Conept of Compound Interest.