Let the first amount lent out at the rate of 6% be Rx. and the second amount lent out at the rate of 5% be ₹(38800−x) Ratio of interest =5:4 ∴‌‌‌
x×6×6
100
:‌
(38800−x)×5×2
100
=5:4 ⇒‌
‌
x×6×6
100
frac‌
(38800−x)×5×2
100
=
5
4
⇒‌‌
36x
(38800−x)×10
=
5
4
⇒‌‌
18x
(38800−x)×5
=
5
4
⇒72x=970000−25x ⇒97x=970000 ∴x=10000 ∴ So, second part of money that was lent out at 5% =38800−10000=‌ ₹ ‌28800