A string of length 221 metre is cut into two parts such that one part is $$\frac{9}{4}$$ th as long as the rest of the string, then the difference between the larger piece and the shorter piece is
a) 58 m
b) 53 m
c) 85 m
d) 76 m
Answer: c
Explanation: Let one part of string is x.
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 = 85 m
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