Given
A note for $10,500 at a discount rate of 5%, for 30 months
find out proceeds of note.
To proof
As given in the question
Principle = $10,500
rate = 5%
Time = 30 months
First convert months into years
1 year = 12 months
![1 month = (1)/(12) year](https://img.qammunity.org/2019/formulas/mathematics/high-school/h2smdh9brffm64f6okc70ec2qq84cp00ra.png)
thus
![Time = (30)/(12) year](https://img.qammunity.org/2019/formulas/mathematics/high-school/iepyo4oi405n62ha4j13s2ny2qx8qtlbkm.png)
= 2.5 year
FORMULA
![Simple\ interest = (principle* rate* time)/(100)](https://img.qammunity.org/2019/formulas/mathematics/high-school/b44esg2inya0vwwvumf7elxnwteki6763k.png)
putting the above value
we get
![Simple\ interest = (10500* 5* 2.5)/(100)](https://img.qammunity.org/2019/formulas/mathematics/high-school/u0b1zg2ts58rceuxavwfn5j9pubxr5qv5z.png)
![Simple\ interest = (131250)/(100)](https://img.qammunity.org/2019/formulas/mathematics/high-school/ah921czl493r3k6poqkbkhdowpp658xudn.png)
simple interest =$ 1312.5
proceeds of note = $ 1312.5
total value = $10,500 + $ 1312.5
= $ 11812.5
Hence proved