Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5% per annum by Rs. 228. Find the sum.

Question

anonymous · Answer

16x/100-x(105/100)3-x=228

anonymous · Answer

x=12000

ganeshie8 · Answer

simple interest for 4 years :  $\large  x*\dfrac{4}{100}*4$

compound interest for 3 years : $\large    x(1+0.05)^3-x $

ganeshie8 · Answer

difference :

 $\large \left( x*0.04*4\right) -   \left(   x(1+0.05)^3-x\right)  \gt  228$

ganeshie8 · Answer

you should get x = 96,000
check ur calculation again

ganeshie8 · Answer

http://www.wolframalpha.com/input/?i=solve+x*0.04*4+-+++%28+++x*%281%2B0.05%29%5E3-x%29+%3D++228