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The simple interest on ₹1,280 at 5% p.a. in 3 years is:
₹192
₹180
₹185
₹195
₹192
Multiply the rate and time first: 5%×3=15%. Then calculate 15% of ₹1,280, which is 10% of 1280+5% of 1280=128+64=192.
Principal (P) = ₹1,280, Rate of interest (R) = 5% p.a., Time (T) = 3 years
Simple Interest (S.I.)=100P×R×T
Multiply the rate and time first: 5%×3=15%. Then calculate 15% of ₹1,280, which is 10% of 1280+5% of 1280=128+64=192.
Multiplying by the rate without dividing by 100, or confusing simple interest with compound interest.
Identify the Given Values
From the question, the principal amount is P=1280, the rate of interest is R=5% per annum, and the time period is T=3 years.
P=1280,R=5%,T=3
Apply the Simple Interest Formula
Substitute the given values into the standard simple interest formula: S.I.=100P×R×T.
S.I.=1001280×5×3
Perform the Calculation
Multiply the numbers in the numerator: 1280×5=6400, and 6400×3=19200. Then divide by 100.
S.I.=10019200=192
A is correct because the simple interest calculated is ₹192.
For compound interest over the same 3 years at 5% p.a., use the formula C.I.=P(1+100R)T−P to find a slightly higher interest value.