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The problem states that a profit of 23% was made on an article bought for ₦4,800.00. We need to find the selling price.

Business/Management

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  1. The problem states that a profit of 23% was made on an article bought for ₦4,800.00.

    We need to find the selling price.

  2. The cost price (CP) is ₦4,800.00.

    The profit percentage is 23%.

  3. The selling price (SP) can be calculated as CP + (Profit % of CP).

  4. Calculate the profit amount

    Profit amount=23% of ₦4,800.00=23100×4800\text{Profit amount} = 23\% \text{ of } \text{₦}4,800.00 = \frac{23}{100} \times 4800 Profit amount=23×48=₦1,104.00\text{Profit amount} = 23 \times 48 = \text{₦}1,104.00

  5. Calculate the selling price

    Selling Price=Cost Price+Profit amount\text{Selling Price} = \text{Cost Price} + \text{Profit amount} Selling Price=₦4,800.00+₦1,104.00=₦5,904.00\text{Selling Price} = \text{₦}4,800.00 + \text{₦}1,104.00 = \text{₦}5,904.00

    The selling price was ₦5,904.00\boxed{\text{₦}5,904.00}.

    :

  6. The problem states a man bought a textbook for ₦1,680.00 and sold it for ₦1,200.00.

    We need to find his percentage loss.

  7. The cost price (CP) is ₦1,680.00.

    The selling price (SP) is ₦1,200.00.

  8. Since SP < CP, there is a loss.

    Calculate the loss amount:

    Loss=Cost Price−Selling Price\text{Loss} = \text{Cost Price} - \text{Selling Price} Loss=₦1,680.00−₦1,200.00=₦480.00\text{Loss} = \text{₦}1,680.00 - \text{₦}1,200.00 = \text{₦}480.00

  9. Calculate the percentage loss using the formula

    Percentage Loss=LossCost Price×100%\text{Percentage Loss} = \frac{\text{Loss}}{\text{Cost Price}} \times 100\% Percentage Loss=4801680×100%\text{Percentage Loss} = \frac{480}{1680} \times 100\%

  10. Simplify the fraction

    Percentage Loss=48168×100%=1242×100%=27×100%\text{Percentage Loss} = \frac{48}{168} \times 100\% = \frac{12}{42} \times 100\% = \frac{2}{7} \times 100\%

  11. Calculate the percentage

    Percentage Loss=2007%≈28.57%\text{Percentage Loss} = \frac{200}{7}\% \approx 28.57\%

    His percentage loss is 28.57%\boxed{28.57\%}.

    :

  12. The problem asks to evaluate 3116\sqrt{3\frac{1}{16}}.

  13. First, convert the mixed number to an improper fraction.

    3116=(3×16)+116=48+116=49163\frac{1}{16} = \frac{(3 \times 16) + 1}{16} = \frac{48 + 1}{16} = \frac{49}{16}

  14. Now, substitute this improper fraction back into the square root expression

    4916\sqrt{\frac{49}{16}}

  15. Apply the property of square roots that ab=ab\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}

    4916\frac{\sqrt{49}}{\sqrt{16}}

  16. Calculate the square roots of the numerator and the denominator

    49=7\sqrt{49} = 7 16=4\sqrt{16} = 4

  17. Substitute these values back to get the final fraction

    74\frac{7}{4}

  18. Convert the improper fraction to a mixed number (optional, but often preferred for final answers)

    74=134\frac{7}{4} = 1\frac{3}{4}

    The value is 134\boxed{1\frac{3}{4}} or 74\boxed{\frac{7}{4}}.

    :

  19. The problem asks to find the average of the data set

    15, 25, 5, 45, 55, 65.

  20. The formula for the average (mean) is the sum of all values divided by the number of values.

  21. Sum the given values

    Sum=15+25+5+45+55+65\text{Sum} = 15 + 25 + 5 + 45 + 55 + 65 Sum=40+5+45+55+65\text{Sum} = 40 + 5 + 45 + 55 + 65 Sum=45+45+55+65\text{Sum} = 45 + 45 + 55 + 65 Sum=90+55+65\text{Sum} = 90 + 55 + 65 Sum=145+65=210\text{Sum} = 145 + 65 = 210

  22. Count the number of values in the data set.

    There are 6 values.

  23. Divide the sum by the number of values

    Average=2106\text{Average} = \frac{210}{6} Average=35\text{Average} = 35

    The average of the data is 35\boxed{35}.

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