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An owner of a pizza stand sold small slices of pizza for Rs. 300 each and large slices for Rs. 500 each. One night he sold 5,000 slices, for a total of Rs. 21 lakh. How many small slices were sold?

An owner of a pizza stand sold small slices of pizza for Rs. 300 each and large slices for Rs. 500 each. One night he sold 5,000 slices, for a total of Rs. 21 lakh. How many small slices were sold? Correct Answer 2000

Calculation:

Let 's' be the number of small slices and 'b' the number of large slices sold on that night.

∴ s + b = 5000      ----(i)

Each small slice was sold for Rs. 300.

∴ 's' small slices would have fetched Rs. 300s.

Each large slice was sold for Rs. 500.

∴ 'b' large slices would have fetched Rs. 500b.

∴ The total value of sale:

⇒ 300s + 500b = 21,00,000

⇒ 300s + 500b = 21,00,000      ----(ii)

Multiplying equation (i) by 300, we get 300s + 300b = 15,00,000      ----(iii)

Subtracting equation (iii) from equation (ii), we get 200b = 6,00,000

⇒ b = 3000

We know that s + b = 5000

⇒ s = 5000 - b 

⇒ 5000 - 3000

⇒ 2000.

∴ 2000 small slices were sold.

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