a) 220

b) 235

c) 255

d) 265

correct answer is: c) 255

Explanation

The sum is 30301.
And added number is 4291.
Let, the number be ‘x’
According to the question,
\left(x\times102\right)+4291=30301
\rightarrow 102x+4291=30301
\rightarrow 102x=\left(30301-4291\right)
\rightarrow 102x=26010
\rightarrow x=\large\frac{26010}{102}
\rightarrow x=255
\therefore 255 is the number which is multiplied by 102 and 4291 is added to it give the sum 30301.
Ans: The required number is 255.

This particular math question can also be formulated in the following manner: