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In what time will Rs 1000 amount to Rs 1331 at 10% p.a compound interest ?

Principal = Rs1000
Amount = Rs1331
Rate of interest = 10% p.a.
Using the compound interest formula, we have

Therefore, in 3 years Rs1000 will amount to Rs1331 at 10% p.a. compound interest. 
 

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principal = Rs. 1000

amount = Rs. 1331

rate of interest = 10 % p.a.

A = P[(100+R)/100]n 

1331 = 1000 [(100+10)100]n 

1331/1000 = (110/100)n

(11)3/(10)3 = (11/10)n

(11/10)3 = (11/10)n

as the bases are same other than 1 and -1 , the powers will also be same

3 = n

in 3 years Rs. 1000 will amount to Rs. 1331 at 10 % p.a. compound interest.

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