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A store keeper bought 200 eggs for N2000. 20 eggs were broken. If he made a profit of 20% from the sales of the good eggs, what is the selling price of 10 eggs?

Mathematics

ScanSolve AI Answer

Answer

12=N12012 = \text{N}120

Step-by-step solution

5 steps

Here's the solution for question 5:

  1. Calculate the cost price per egg.

    The store keeper bought 200 eggs for N2000.

    Cost price per egg=Total costNumber of eggs\text{Cost price per egg} = \frac{\text{Total cost}}{\text{Number of eggs}} Cost price per egg=N2000200 eggs=N10 per egg\text{Cost price per egg} = \frac{\text{N}2000}{200 \text{ eggs}} = \text{N}10 \text{ per egg}
  2. Determine the number of good eggs.

    Total eggs bought = 200.
    Broken eggs = 20.

    Number of good eggs=200−20=180 eggs\text{Number of good eggs} = 200 - 20 = 180 \text{ eggs}
  3. Calculate the total selling price for the good eggs.

    The store keeper made a profit of 20% from the sales of the good eggs.
    The cost of the good eggs (180 eggs) is 180×N10=N1800180 \times \text{N}10 = \text{N}1800.

    Profit amount=20% of N1800\text{Profit amount} = 20\% \text{ of N}1800 Profit amount=0.20×N1800=N360\text{Profit amount} = 0.20 \times \text{N}1800 = \text{N}360 Total selling price of good eggs=Cost of good eggs+Profit amount\text{Total selling price of good eggs} = \text{Cost of good eggs} + \text{Profit amount} Total selling price of good eggs=N1800+N360=N2160\text{Total selling price of good eggs} = \text{N}1800 + \text{N}360 = \text{N}2160
  4. Calculate the selling price per good egg.

    The total selling price for 180 good eggs is N2160.

    Selling price per good egg=Total selling priceNumber of good eggs\text{Selling price per good egg} = \frac{\text{Total selling price}}{\text{Number of good eggs}} Selling price per good egg=N2160180 eggs=N12 per egg\text{Selling price per good egg} = \frac{\text{N}2160}{180 \text{ eggs}} = \text{N}12 \text{ per egg}
  5. Calculate the selling price of 10 eggs.

    Selling price of 10 eggs=10×Selling price per good egg\text{Selling price of 10 eggs} = 10 \times \text{Selling price per good egg} Selling price of 10 eggs=10×N12=N120\text{Selling price of 10 eggs} = 10 \times \text{N}12 = \boxed{\text{N}120}
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