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Find the simple interest on ₹8,000 at 6% per annum from 12th March 2024 to 20th May 2024.
₹90
₹96
₹102
₹108
₹96
Recognize that 73 days is equal to 51 of a year (73/365), making multiplication with 6% straightforward.
Principal P = ₹8,000,Rate R = 6% per annum, and time from 12th March 2024 to 20th May 2024.
SI=100P×R×T
Recognize that 73 days is equal to 51 of a year (73/365), making multiplication with 6% straightforward.
Miscalculating the number of days between the two given dates or using 366 days incorrectly for the denominator instead of 365.
Identify Given Data
Note down the principal amount P=₹8,000, annual interest rate R=6%, and the time duration from 12th March 2024 to 20th May 2024.
P=₹8,000,R=6% p.a.
Calculate Time Period in Years
Count the number of days between 12th March and 20th May, which totals 73 days. Convert this into years: T=36573=51 years.
T=36573=51
Apply Simple Interest Formula
Substitute the values of P, R, and T into the simple interest formula: SI=100P×R×T.
SI=1008000×6×51
Compute Final Value
Simplify the expression to find the final interest amount: SI=100×58000×6=5480=96.
SI=₹96
B is correct because the calculated simple interest on ₹8,000 at 6% per annum for 73 days is ₹96.
Always look out for standard day counts like 73 days, 146 days, or 219 days in interest problems, as they are exact multiples of 73 and simplify nicely with 365.