Question

a sweet seller has 420 kaju and 130 badam burfis.he wants to stack them in such a way that each stack has the same number and they take up least area of the tray.what is the number of burfis that can be placed in each stack for this purpose?

Answer 1

The area of the tray that is used up in stacking the burfis will be least if the sweet seller stacks maximum number of burfis in each stack. Since each stack must have the same number of burfis. Therefore, the number of stacks will be least if the number of burfis in each stack is equal to the HCF of 420 and 130.
Now, let us use Euclid’s algorithm to find their HCF. We have :

420 = 130 × 3 + 30

130 = 30 × 4 + 10

30 = 10 × 3 + 0

So, the HCF of 420 and 130 is 10.

Hence,the sweet seller can make stacks of 10 burfis of each kind to cover the least area of the tray.

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