Question

A sum amounts to rs 3626 in 219 days at 6 percent per annum simple interest. The sum is??

Answer 1

Let the sum be x.

Principal (P) = ?
Rate(R) = 6%
Time(T) = 219 days = 219/365 year

We know,
S.I  = PRT/100
S.I = A - P
S.I = 3626 - P

Now,
S.I = P × R × T/100
⇒ 3626 - P = P × 6 ×219÷365 / 100
⇒ 3626×365/6×219 = 2P
⇒ 3626×365/6×219×2 = P
⇒ 66145/1314 = P
⇒ 503.61 = P