Question

what sum will become rupees 4590 in 11/2 years if the rate of interest is 12.5% compounded annually​

Answer 1

Answer:

₹1235

Step-by-step explanation:

Given, Amount=₹4590

rate of interest=12.5% C. I.

time= 11/2 years = 5.5 years

Let principle be ₹x

Now, Amount after 5 years

= principle(1+r/100) ^n

=x(1+12.5/100) ^5

=x(1.125) ^5

=x(1.802)

=₹1.802x

Again, Amount for next 6 months

= new principle(1+r/200) ^2n

=1.802x(1+12.5/200) ^2(1/2)

=1.802x(1.0625)

=₹1.914625x

so, Amount after 5.5 years

= 1.802x + 1.914625x

Or, 4590 = 3.7166x

Or, x = 1235

Therefore, sum of money = ₹1235