Concept:Simple interest is calculated using the formula
SI=100P×R×T​, where
P is the principal,
R is the rate of interest, and
T is the time in years.
Explanation:First, find the value of
x using the given details.
Given:
P=Rs. 1600,
T=5 years,
SI=Rs.840, and rate
=x%.
Substitute these values into the formula:
840=1001600×x×5​840=80xx=80840​=10.5%Now, the new rate becomes
(x+5)%=(10.5+5)%=15.5%.
The principal remains the same, which is
Rs. 1600, and the new time is
3 years.
Calculate the new simple interest:
SI=1001600×15.5×3​SI=1001600×46.5​SI=10074400​=744Answer:The required simple interest is
Rs.744.
Hence, the correct option is A. 744.