Question

The simple interest on a certain
amount of money at a certain rate for
8 years is * 2,000. Then the simple
interest on four times the amount at
the same rate for 2 years will be
(A) 1,200
(C) 3,000
(B) * 2,000
(D) * 3,500​

Answer 1

Answer:

Step-by-step explanation:

P = initial amount = principal

R = rate of interest per cent per year  

T = time period in years = 8

SI = Simple interest in Rupees = 2000

SI = P*R*T/100

  = (P*R*8)/100

  = 8*P*R/100         ...(i)

For the new data,

let P1, R1 and T1 denote the principal, interest rate and time period, respectively.

ATQ,

P1 = 4P .......(four times the amount)

T1 = 2

R1 = R

SI = (4P*R*2)/100

   = 8*P*R/100 .......(ii)

From (i) and (ii), we can see that the simple interest earned in both the cases is the same.

=> SI for new data = Rs.2000

Simple interest earned on four times the amount at the same rate for 2 years is Rs.2000.