the difference between the compound interest and simple interest on a certain sum of money at 662 2.3 % per annum for 3 years is rupees 46 find the sum
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let sum is X
rate is 20/3%
Time=3
X(1+ 20/300)^3 -X - (X× 20/3× 3)/ 100 =46
X(16/15×16/15 ×16/15 - 1 ) - X/5 =46
X(4096 - 3375/ 3375) - X/5 =46
X(721/3375) - X/5 =46
721X/3375 - X/5 =46
(721X- 675X )3375=46
46X/ 3375 = 46
X=3375
So the sum is Rs.3375
rate is 20/3%
Time=3
X(1+ 20/300)^3 -X - (X× 20/3× 3)/ 100 =46
X(16/15×16/15 ×16/15 - 1 ) - X/5 =46
X(4096 - 3375/ 3375) - X/5 =46
X(721/3375) - X/5 =46
721X/3375 - X/5 =46
(721X- 675X )3375=46
46X/ 3375 = 46
X=3375
So the sum is Rs.3375
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