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A sum of ₹8500 is invested at 8% per annum simple interest. What is the amount of interest earned in 219 days?
₹306
₹408
₹510
₹612
₹408
Convert days into years by dividing by 365 immediately: 219/365=3/5 years, which makes multiplication with the 8% rate much cleaner.
Principal P = ₹8500, Rate of Interest R = 8% per annum, Time T = 219 days
SI=100P×R×T
Convert days into years by dividing by 365 immediately: 219/365=3/5 years, which makes multiplication with the 8% rate much cleaner.
Forgetting to convert the given days into years by dividing by 365, or incorrectly using 360 days instead of 365.
Convert Time into Years
Since the interest rate is per annum, time must be expressed in years. Given time is 219 days. Converting it to years: T=365219=53 years.
T=365219=0.6 years
Apply Simple Interest Formula
Substitute the values of Principal P=8500, Rate R=8, and Time T=3/5 into the simple interest formula: SI=100P×R×T.
SI=1008500×8×53
Calculate the Interest
Simplify the expression: 1008500=85. Then, 85×8=680, and 680×53=136×3=408.
SI=85×8×0.6=408
B is correct because the simple interest earned on ₹8500 at 8% per annum for 219 days is ₹408.
In problems involving days for simple interest, always check if the year is leap or non-leap, though standard competitive exams default to 365 days unless specified otherwise.