# To find Principal when Time Interest and Rate are given

To find Principal when Time Interest and Rate are given the rules are.

Interest = (Principal × Rate × Time)/100

Principal = (100 × Interest)/(Rate × Time)

For example:

1. Find Principal when Time = 3 years, Interest = $600; Rate = 4% p.a. Solution: Time = 3 years, Interest =$ 600,

Rate = 4% p.a.

Principal = (100 × Interest)/(Rate × Time)

= (100 × 600)/(4 × 3)

= 60000/12

= 5000

Therefore, Principal (P) = $5000. 2. Find Principal when Time = 5 years, Interest =$ 500; Rate = 5% p.a.

Solution:

Time = 5 years,

Interest = $500, Rate = 5% p.a. Principal = (100 × Interest)/(Rate × Time) = (100 × 500)/(5 × 5) = 50000/25 = 2000 Therefore, Principal (P) =$ 2000.

3. Find Principal when Time = 4 years, Interest = $400; Rate = 5% p.a. Solution: Time = 4 years, Interest =$ 400,

Rate = 5% p.a.

Principal = (100 × Interest)/(Rate × Time)

= (100 × 400)/(5 × 4)

= 40000/20

= 2000

Therefore, Principal (P) = \$ 2000.

● Simple Interest.

Word Problems on Simple Interest.

In Simple Interest when the Time is given in Months and Days.

To find Principal when Time Interest and Rate are given.

To find Rate when Principal Interest and Time are given .

To find Time when Principal Interest and Rate are given.

Worksheet on Simple Interest.