If Raheem gains Rs 93.90 in whole transaction , then what is the sum lent by him to Rahul ?

Question

Raheem borrowed Rs 830 from Vihaan at 12% rate of interest for 3 years. He than added some more money to the borrowed sum and lent it to Rahul for the same time at 14% simple interest.
If Raheem gains Rs 93.90 in whole transaction , then what is the sum lent by him to Rahul ?

Answer 1

Interest on Borrowed amount=I1
=P1*R1*T1
=830*(12/100)*3........................................(i)
Interest on lent amount=I2
=x*(14/100)*3............................................(ii)
Interest gain=Ig=93.90=I2-I1.................(iii)
93.90=[x*(14/100)*3]-[830*(12/100)*3].............from (i),(ii),(iii)
x=935
so ans is Raheem lent 935 rupees to Rahul