"My definition of inclusiveness includes women and includes everybody," said Lagarde, who is on a two-day India visit, was speaking today at an event in Lady Sri Ram College.
Lagarde, who is on a two-day India visit, was replying to a query at an event here whether communal incidents would come in the way of the country achieving 7.5 per cent inclusive growth next year.
Inclusive growth, she said, means everyone like unemployed, disabled and people belonging to all race and religions, she said.
"I am very heartened by the Prime Minister's campaign on saving the girl child and educating the girl child. Giving girls a level-playing field is not just morally right-- it also makes economic sense.
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Asked if she would like to personally invest in a vibrant economy like India, she: "Yes, I will. My investment, I think, will be towards education of women."
She said as per a study India's female labour force participation rate is 33 per cent, which is lower than the global average of 50 per cent, and well below the East Asia average of 63 per cent.
"India faces some unique challenges. On the one hand, women have made great strides in society.
"Much remains to be done to give girls and women a level playing field in India; equal access to education and healthcare, and most importantly, respect, so that all the daughters of India can feel safe in the cities and villages of your beautiful country," she said.
She advocated affirmative action for emancipation of women in the workforce.
On when Indian could head the IMF, she said: "I hope one of these days. I can't tell you when. One day of course.