Suppose Gayathri had Rs X in the beginning.
Then money Spend = 75 % of X
= \(\frac{75}{100}\)X
= \(\frac{3X}{4}\)
Money left with her
= X – \(\frac{3X}{4}\)
= \(\frac{4X-3X}{4}\)
= \(\frac{X}{4}\)
But it is given that money left = Rs 600
i.e. \(\frac{X}{4}\) = 600
X = 600 x 4
= 2400
∴ Gayathri had Rs 2,400