Question

if. the compound interest on a sum for 3 years at 4% p.a. is rupees 408 then the simple interest on the same sum at the same rate and for the same period is​

Answer 1

Answer:

400 is ur ans

hope it helps you

Thank You

Answer 2

Step-by-step explanation:

Given that compound interest on a sum for 3 years at 4% p.a is Rs. 408.

Compound interest = Rs. 408, time = 3 years, rate = 4%

Let's say the principal balance be x.

SI = (P × R × T)/100

SI = (x × 4 × 3)/100

SI = 12x/100

SI(100)/12 = x

Now,

CI = P(1 + R/100)^T - 1

408 = SI(100)/12 [(1 + 4/100)³ - 1]

408 = SI(25)/3 [(104/100)³ - 1]

408 = SI(25/3) (1124864/1000000 - 1)

408 = SI(25/3) [(1124864 - 1000000)/1000000]

408 = SI(25/3) (0.124864)

408 = SI × 3.1216/3

408 = SI × 1.04

408/1.04 = SI

SI = 392.31

OR

408 = SI(8.33) [(1 + 4/100)³ - 1)]

408 = SI(8.33) [104/100)³ - 1]

408 = SI(8.33) (1124864/1000000 - 1)

408 = SI(8.33) (0.12864)

408 = SI(1.04)

408/1.04 = SI

SI = 392.31

Hence, the simple interest is Rs. 392.31.