Your family will almost certainly buy more of them — and that is the Law of Demand in one sentence. The chapter's own example is exactly this: at ₹150 per kg Srivalli bought 1 kg, at ₹100 she bought 2 kg, and at ₹50 she bought 3 kg.
This week: price halved to ₹75 per kg
Quantity demanded rises — the same money now buys more
On the graph: you slide down along the demand curve DD’
Two separate things are happening, and it is worth keeping them apart. Your family's demand has not changed — the whole schedule of what you would buy at each price is the same as last week. What changed is the price, so you have moved to a different point on that same schedule.