Question

The difference between the compound
Interest and simple interest in a certain principal at the rate of 15% p.a for is 2268. Find the principal

Answer 1

Step-by-step explanation:

Please find below the solution to the asked query :

(2).Let P be the principal.

Rate, R = 15 % p.a.Time,

n = 3 yrs

Now, amount, A = P[1 + R100]n

⇒CI + P = P[1 + 15100]3

⇒CI = P[2320]3 − P

⇒CI = Rs (41678000P)SI

= PRT100 = P×15×3100

= Rs (9P20)now,

CI − SI = (41678000P) − (9P20) = Rs 2268

⇒4167P− 3600P8000 = 2268

⇒567P8000 = 2268

⇒P = 32000

so, required principal = Rs 32000Similarly you can do the first part.

Hope this would clear your doubt.