Question

Simple interest on a certain sum of
money for 4 years at 4% per annum
exceeds the compound interest on the
same sum for 3 years at 5% per an-
num by Rs. 228. Find the sum. [1988]​

Answer 1

Answer:

Rs.28952.381

Step-by-step explanation:

Let the sum of money i.e. principal be Rs.x

S.I. = (4×4×x)/100

C.I. = (x(1+(5/100))³) - x

According to the question,

{(4×4×x)/100} - {(x(1+(5/100))³) - x} = 228

(4x/25) - {( x (1+(1/20))³) - x} = 228

(4x/25) - {x(20+1)/20)³ - x} = 228

(4x/25) - {(x (21/20)³ - x} = 228

(4x/25) - { (9261/8000x) - x} = 228

(4x/25) - {(9261x-8000x)/8000} = 228

(4x/25) - (1262x/8000). = 228

(1280x - 1261x)/8000 = 228

21x/8000 = 228

x = 228 × 8000/21

x = 28952.381

The sum of money is Rs.28952.381