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Find the selling price if: 1. Cost price = 10 000, Profit = 20% 2. Cost price = 2 400, Loss = 30% 3. Cost price = 600, Loss = 10% 4. Cost price = 4 000, Profit = 10%

Mathematics

ScanSolve AI Answer

Step-by-step solution

8 steps

1)

  1. Determine the selling price percentage.

    Since there is a profit of 20%20\%, the selling price is 100%+20%=120%100\% + 20\% = 120\% of the cost price.

  2. Calculate the selling price.

    Selling Price=120100×N10 000\text{Selling Price} = \frac{120}{100} \times \text{N}10\,000 Selling Price=1.20×N10 000\text{Selling Price} = 1.20 \times \text{N}10\,000 Selling Price=N12 000\text{Selling Price} = \text{N}12\,000

    The selling price is N12 000\boxed{\text{N}12\,000}.

    2)

  3. Determine the selling price percentage.

    Since there is a loss of 30%30\%, the selling price is 100%−30%=70%100\% - 30\% = 70\% of the cost price.

  4. Calculate the selling price.

    Selling Price=70100×N2 400\text{Selling Price} = \frac{70}{100} \times \text{N}2\,400 Selling Price=0.70×N2 400\text{Selling Price} = 0.70 \times \text{N}2\,400 Selling Price=N1 680\text{Selling Price} = \text{N}1\,680

    The selling price is N1 680\boxed{\text{N}1\,680}.

    3)

  5. Determine the selling price percentage.

    Since there is a loss of 10%10\%, the selling price is 100%−10%=90%100\% - 10\% = 90\% of the cost price.

  6. Calculate the selling price.

    Selling Price=90100×N600\text{Selling Price} = \frac{90}{100} \times \text{N}600 Selling Price=0.90×N600\text{Selling Price} = 0.90 \times \text{N}600 Selling Price=N540\text{Selling Price} = \text{N}540

    The selling price is N540\boxed{\text{N}540}.

    4)

  7. Determine the selling price percentage.

    Since there is a profit of 10%10\%, the selling price is 100%+10%=110%100\% + 10\% = 110\% of the cost price.

  8. Calculate the selling price.

    Selling Price=110100×N4 000\text{Selling Price} = \frac{110}{100} \times \text{N}4\,000 Selling Price=1.10×N4 000\text{Selling Price} = 1.10 \times \text{N}4\,000 Selling Price=N4 400\text{Selling Price} = \text{N}4\,400

    The selling price is N4 400\boxed{\text{N}4\,400}.

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