A string of length 221 metre is cut into two parts such that one part is 9/4 th as long as the rest of the string, then the difference between the larger piece and the shorter piece is :

Answer: Option C

Let one part of string is x.
Now,
x + $$\frac{9\text{x}}{4}$$ = 221 m
x = 68 meter
and, $$\frac{9\text{x}}{4}$$ = 153 m
Difference between two parts = 153 - 68 = 85m.