a) 91 kg.

b) 87 kg.

c) 98 kg.

d) 102 kg.

Correct answer is:

a) 91 kg.

Explanation

Let,
From beginning Mrs. khan weigh was ‘x’
Now, Mrs. khan weighs is 95 kg.
According to the question,
1 ^st month she gained \large\frac{11}{2} kg
2 ^nd month she gained \large\frac{9}{4} kg
And 3 ^rd month she lost \large\frac{15}{4} kg
So,
\left(x+\large\frac{11}{2}\normalsize+\large\frac{9}{4}\normalsize-\large\frac{15}{4}\right)\normalsize=95 kg
\rightarrow\left(\large\frac{4x+22+9-15}{4}\right)=95
\rightarrow\left(\large\frac{4x+31-15}{4}\right)=95
\rightarrow\left(\large\frac{4x+16}{4}\right)=95
\rightarrow 4x+16=\left(95\times4\right)
\rightarrow 4x=380-16
\rightarrow 4x=364
\rightarrow x=\large\frac{364}{4}
\therefore x=91 kg
So that, from beginning Mrs. khan weigh was 91 kg.
Ans: 91 kg.