Given value = Rs 44,000
It is divided into 3 parts but not equal parts
let the 3 parts be x, y, z
⇒ x + y + z = 44,000 _____ (i)
Now interest on all parts is same
⇒
x+×2 _____ (ii)
=y××3 ________ (iii)
=z××6 _________(iv)
On solving ii & iii we get
x/z = y (or) x = 2y (or) y = 3/2 z
On solving ii & iv we get
x/3 = z (or) x = 3z
Now put these values in (i)
⇒3z+z+z=44,000 on solving ,we get
z = 8000
y = 12,000
x = 24,000
so the smallest sum that was lent is Rs 8,000