Rs. 2000 amounts to Rs. 2480 in 4 years at a certain rate of simple interest. If the rate of interest is increased by 3%, then
the amount after 4 years would be?
Explain step by step
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Answer :-
Rs.2000
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.
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