Question

in what time will the simple interest on rs. 500 at 6% be equal to the interest on rs. 450 for 8 years at 5% ?​

Answer 1

Explanation:

Let the original rate be R percent per year, the principal amount be P, time T

Given is SI = 600 = P * R * 10 / 100

Hence P*R = 6000

SI for first five years will be 300 at the end of first 5 years.

When P is trebled for next five years, the SI for those five years will be = 3P * R * 5 / 100 = [ 15* P * R ] /100 = [ 15 * 6000 ] / 100 = 900

Hence the total interest will be 300 + 900 = 1200

Answer 2

Answer:

6 years

Explanation:

P1=500 T1=6% R=X

SI(1)= PRT/100

=3000X/100

=30X

ALSO,

P2=450 T2=8 R=5

SI(2)= PRT/100

=18000/100

=180

SI(1)=SI(2)

THEREFORE,

30X=180

X=6

HENCE, IT WILL TAKE 6 YEARS