Question

What sum of money borrowed on 24 may will amount to 10210.20 on 17 october of the ame year at 5% per annum simple interest

Answer 1

Here, time
    May  June   July   August  September  October
=    7   +  30  +  31 +   31     +      30        +   17        
=146 days
=146/365 years.
 R=5% per annum and let principal=P
∴, S=(P×T×R)/100
or, 10210.20=[P×(146/365)×5]/100
or, 10210.20×100=(P×146×5)/365
or, 1021020=(P×146)/73
or, 1021020=P×2
or, P=1021020/2
or, P=510510 Ans.

Answer 2

Answer:

Rs.10175.4

Step-by-step explanation:

Amount = Rs.10210.20

Let Principal be x

Simple interest = Amount - Principal = 10210.20-x

Time = 24 may - 17 October = 25 days

Rate of interest = 5%

SI = $\frac{P \times R \times T }{100}$

$10210.20-x=\frac{x \times 5 \times \frac{25}{365}}{100}$

$x=10175.4$

Hence The principal is Rs.10175.4