a sum at simple interest of 13 1/2 % per annum amounts to rs. 3080 in yr. find the sum.
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let the sum be x
rate = 13.5%
amount = 3080
time = 1 year
S.I. = 3080 - x
ATP
S.I. = prt / 100
3080 - x = x × 13.5 × 1 / 100
100 ( 3080 - x ) = 13.5 x
308000 - 100x = 13.5x
308000 = 13.5x + 100x
308000 = ( 13.5 + 100 ) x
308000 = 113.5 × x
308000 / 113.5 = x
2713 . 66 = x
rate = 13.5%
amount = 3080
time = 1 year
S.I. = 3080 - x
ATP
S.I. = prt / 100
3080 - x = x × 13.5 × 1 / 100
100 ( 3080 - x ) = 13.5 x
308000 - 100x = 13.5x
308000 = 13.5x + 100x
308000 = ( 13.5 + 100 ) x
308000 = 113.5 × x
308000 / 113.5 = x
2713 . 66 = x
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