Question

in what time will Rs 500 amount to rupees 605 at 10% compound annually

Answer 1

Information provided to us:
Principal, P = ₹ 500
Amount, A = ₹ 605
Rate of Interest, R = 10% p.a. compounded annually

We know,

A = P ( 1 + R/100) ^ T

Substituting the values provided to us,

605 = 500 ( 1 + 10/100 ) ^ T
605 / 500 = ( 1 + 1/10 ) ^ T
121 / 100 = ( 11 / 10 ) ^ T
( 11 / 10 ) ^ 2 = ( 11 / 10 ) ^ T

Hence we can conclude,

T = 2 years

Time = 2 years

In 2 years, ₹ 500 will amount to ₹ 605 at 10% p.a. compounded annually.

Answer 2

Answer:

Principal = Rs.500

Amount = Rs.605

Rate = 10% p.a.

Time = ???????

So,Let's Find Time ==

= Amount = Principal ( 1+R/100 )^n

= 605 = 500 ( 1+10/100 )^n

= 605 = 500 ( 11/10 )^n

= 605/500 = ( 11/10 )^n

= 121/100 = ( 11/10 )^n

= ( 11/10 )^2 = ( 11/10 )^n

= 2.p.a. = n

Answer =

So, Time Is = 2p.a.