Question

A sum of Rs. 2600 is lent out in two parts in such a way that the simple interest on one part at 10%

for 5 years is equal to that on another at 9% for 6 years. The sum sent out at 10% is ______

Answer 1

answer  is 1350

Lets solve this question with help of equations

consider sum sent out at 10% be S

then sum sent out at 9% will be 2600-S

In the question.its given ,

           1st SI = 2nd SI

S*rate1*time1=(2600-S)*Rate2*Time2

S*10/100*5    =(2600-S)*9/100*6

               S  =  1350