A 1year loan at 6% ended up costing $144 in simple interest . How much money was borrowed

Mathematics · High School · Tue Nov 03 2020

Answered on

Given:

Simple Interest Earned ( A ) = $144

Term  ( t ) = 1

rate ( r ) = 6% or 0.06 (divided by 100)

Determine the principal amount.

Formula for Simple Interest:

A = P (1 + rt)

Solution:

In order to determine the principal amount we simply solve for P.

A = P ( 1 + rt )

144 = P ( 1 + (0.06)(1))

144 = P ( 1.06)

144/1.06 = P ( 1.06)/1.06

P = $135.85

Final answer:

The amount borrowed or the principal amount is $135.85.