10. Sophia bakes 100 muffins to sell during break at school. She works out that each muffin (ingredients and electricity) will cost her R3. She wants to make a profit of \( 60 \% \) per muffin. 10.1 At what price must Sophia sell each muffin? 10.2 Sophia sold 70 muffins during break. Calculate the total amount of money she made. 10.3 Sophia then decided to sell the remainder of the muffins at a discount of \( 30 \% \) per muffin. How much money did she make if she sold all of them? 10.4 Calculate the total profit or loss Sophia made with her muffin sale. 10.5 Calculate the profit/oss percentage.

To find the answers in a fun and engaging tone: To calculate the selling price of each muffin, we start with the cost and think about Sophia’s goal of making a 60% profit. So, if each muffin costs R3, she needs to sell each one for R3 plus 60% of R3, which brings her selling price to R4.80! That’s a sweet deal for both Sophia and her muffin-loving customers! After selling 70 muffins at R4.80 each, Sophia has made a tasty profit! Multiply 70 by R4.80, and you’ll find she earned R336. Now, let’s bake the moment even sweeter by checking how much she made from the leftovers once she sold the remaining 30 muffins at a 30% discount. With a little math magic, she sold those at R3.36 each, totaling R100.80 for those muffins. In the end, each dollar counts, but what’s the grand muffin total? Now let’s calculate her overall muffin adventure! Sophia's total earnings from her 100 muffins are R336 from the first batch and R100.80 from the remaining muffins, which is R436. The total cost for baking all 100 muffins is R300 (that’s R3 each). Subtracting this from her earnings gives us a profit of R136. This is one happy baker! To wrap it up with some extra zest, to find her profit percentage, we divide the profit by the total cost and multiply by 100. Doing the math gives us 45.33%! Sophia has baked her way to a successful sale, earning a pretty penny while pleasing all the sweet-toothed fans at school!