the simple interest for Rs 500 at the rate of 5% per annum is Rs 100 . The time period for the interest is ?
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Given :-
- Principal = Rs 500
- Rate = 5% p.a
- Simple Interest = Rs 100
To Find :-
- Time
Solution :-
❍ As we know that , Simple Interest is given by [ Simple Interest = Principal × Rate × Time / 100 ] . So will apply this formula to find the Time .
➞ ⠀⠀ Simple Interest = P × R × T / 100
➞ ⠀⠀ 100 = 500 × 5 × Time / 100
➞ ⠀⠀ 100 = 5 × 5 × Time
➞ ⠀⠀ 100 = 25 × Time
➞ ⠀⠀ 100 / 25 = Time
➞ ⠀⠀ 4 years = Time
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Verification :-
⟼ ⠀⠀ Simple Interest = P × R × T / 100
⟼ ⠀⠀ Simple Interest = 500 × 5 × 4 / 100
⟼ ⠀⠀ Simple Interest = 5 × 5 × 4
⟼ ⠀⠀ Simple Interest = 5 × 20
⟼ ⠀⠀ ⠀⠀ ⠀⠀ ⠀ ⠀100 = 100
Hence Verified
Thus, Time = 4 years
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