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.

Right Chiomzy, let's go. Problem 9b: Step 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. Step 2: The cost price (CP) is ₦4,800.00. The profit percentage is 23%. Step 3: The selling price (SP) can be calculated as CP + (Profit % of CP). Step 4: Calculate the profit amount: $$ \text{Profit amount} = 23\% \text{ of } \text{₦}4,800.00 = \frac{23}{100} \times 4800 $$ $$ \text{Profit amount} = 23 \times 48 = \text{₦}1,104.00 $$ Step 5: Calculate the selling price: $$ \text{Selling Price} = \text{Cost Price} + \text{Profit amount} $$ $$ \text{Selling Price} = \text{₦}4,800.00 + \text{₦}1,104.00 = \text{₦}5,904.00 $$ The selling price was $\boxed{\text{₦}5,904.00}$. Problem 10b: Step 1: 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. Step 2: The cost price (CP) is ₦1,680.00. The selling price (SP) is ₦1,200.00. Step 3: Since SP < CP, there is a loss. Calculate the loss amount: $$ \text{Loss} = \text{Cost Price} - \text{Selling Price} $$ $$ \text{Loss} = \text{₦}1,680.00 - \text{₦}1,200.00 = \text{₦}480.00 $$ Step 4: Calculate the percentage loss using the formula: $$ \text{Percentage Loss} = \frac{\text{Loss}}{\text{Cost Price}} \times 100\% $$ $$ \text{Percentage Loss} = \frac{480}{1680} \times 100\% $$ Step 5: Simplify the fraction: $$ \text{Percentage Loss} = \frac{48}{168} \times 100\% = \frac{12}{42} \times 100\% = \frac{2}{7} \times 100\% $$ Step 6: Calculate the percentage: $$ \text{Percentage Loss} = \frac{200}{7}\% \approx 28.57\% $$ His percentage loss is $\boxed{28.57\%}$. Problem 11b: Step 1: The problem asks to evaluate $\sqrt{3\frac{1}{16}}$. Step 2: First, convert the mixed number to an improper fraction. $$ 3\frac{1}{16} = \frac{(3 \times 16) + 1}{16} = \frac{48 + 1}{16} = \frac{49}{16} $$ Step 3: Now, substitute this improper fraction back into the square root expression: $$ \sqrt{\frac{49}{16}} $$ Step 4: Apply the property of square roots that $\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$: $$ \frac{\sqrt{49}}{\sqrt{16}} $$ Step 5: Calculate the square roots of the numerator and the denominator: $$ \sqrt{49} = 7 $$ $$ \sqrt{16} = 4 $$ Step 6: Substitute these values back to get the final fraction: $$ \frac{7}{4} $$ Step 7: Convert the improper fraction to a mixed number (optional, but often preferred for final answers): $$ \frac{7}{4} = 1\frac{3}{4} $$ The value is $\boxed{1\frac{3}{4}}$ or $\boxed{\frac{7}{4}}$. Problem 12b: Step 1: The problem asks to find the average of the data set: 15, 25, 5, 45, 55, 65. Step 2: The formula for the average (mean) is the sum of all values divided by the number of values. Step 3: Sum the given values: $$ \text{Sum} = 15 + 25 + 5 + 45 + 55 + 65 $$ $$ \text{Sum} = 40 + 5 + 45 + 55 + 65 $$ $$ \text{Sum} = 45 + 45 + 55 + 65 $$ $$ \text{Sum} = 90 + 55 + 65 $$ $$ \text{Sum} = 145 + 65 = 210 $$ Step 4: Count the number of values in the data set. There are 6 values. Step 5: Divide the sum by the number of values: $$ \text{Average} = \frac{210}{6} $$ $$ \text{Average} = 35 $$ The average of the data is $\boxed{35}$. What's next? 📸