Question

in what time will rupees 5400 amount to rupees 6773. 76 at 12% per annum compound interset .
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Answer 1

the time taken is 2 years
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Answer 2

Answer:

Time = 2 years

Step-by-step explanation:

Principal = Rs 5400

Interest rate = 12%

Amount Received = Rs 6773.76

We have to find the time :

We know,

Amount = P ( 1 + r ) ⁿ

6773.76 = 5400 ( 1 + 0.12)ⁿ

6773.76 = 5400 ( 1. 12 ) ⁿ

6773.76 / 5400 =  1. 12 ⁿ

1. 12 ⁿ = 1.2544

Taking log both the sides ,

log 1. 12 ⁿ = log 1.2544

n log 1. 12 =  log 1.2544

n = log 1.2544 ÷  log 1. 12

n = 2

Hence,

Time = 2 years