Question

please solve this question if you give the correct answer i will give brainlist answer

Answer 1

Answer:

4000

Step-by-step explanation:

Let the sum = x.

Given, R = 15%, Time = 3 years.

(i) Compound Interest:

C.I = x(1 + 15/100)³ - x

    = x(115/100)³ - x

    = (12167x/8000) - x

    = (4167x/8000)

(ii) Simple Interest:

= PTR/100

= x * 3 * 15/100

= 45x/100

Given that difference between C.I and S.I is 283.50

⇒ 283.50 = (4167x/8000) - (45x/100)

⇒ 283.50 = (x * 4167 - 3600x)/8000

⇒ 283.50 = (567x)/8000

⇒ 2268000 = 567x

⇒ x = 4000.

Therefore, Sum is 4000.

Hope it helps!

Answer 2

let the sum be P

SI = PTR/100=P*3*15/100=45P/100=9P/20

CI = A-P=P (1+R/100)^n-P=P (1+15/100)^3-P

=P (115/100)^3-P

=P (23/20)^3-P

So by question CI-SI = 283.50

or P ((23/20)^3-1)-9P/20=P ((23/20)^3-1-9/20)=283.50

or P= 283.50/((23/20)^3-29/20)

or P = 4000