beckerdevan8 beckerdevan8
  • 18-11-2019
  • Mathematics
contestada

After 8 months 750 dollars simple interest was owed on a loan of 9000 dollars. Find the annual interest rate

Respuesta :

ranikashyab066 ranikashyab066
  • 22-11-2019

Answer:

The Rate of Interest  = 12.5 % on P = $9,000.

Step-by-step explanation:

The principal amount = $9,000

Let the rate of interest = R

Time = 8 months = (8/12) year = 2/3 year

Simple Interest  = $750

SIMPLE INTEREST = [tex]\frac{P \times R \times T}{100} \\\implies 750 = \frac{9,000  \times R \times 2}{3 \times 100} \\[/tex]

or, [tex]750 = \frac{18,000  \times R}{300} \\\implies 750 \times 300  = 18,000 R[/tex]

or, R = 2,25,000/18,000  = 12.5

⇒ R = 12.5%

Hence, the Rate of Interest  = 12.5 % on P = $9,000.

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