The simple interest on a certain sum of money for 2 1/2 years at 12% per annum is TK. 40 less than the simple interest on the same interest on the same sum for 3 1/2 years at 10% per annum. Find the sum.

Correct Answer: TK. 800
Hints : The simple interest on a certain sum of money for 2.5 year's at 12% per annum is TK.40 less than the simple interest on the same sum for 3.5 years at 10% per annum The simple interest on a certain sum of money for 2.5 years at 12% per aannum = pnr = 12 × 2.5 × x the simple interest on the same sum for 3.5 years at 10% per annum = pnr = 1 × 3.5 × x So, 12 × 2.5 × x + 40 = 1 × 3.5 × x 0.3x + 40 = 0.35 x o.35 x - 0.3x = 40 o.o5x = 40 x = 800