Subjects algebra

Profit Percentage 34E123

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1. **Stating the problem:** OSIS MAN IC has a maximum initial capital of 900000 Rupiah to buy one variant of drink in size M or S from Pak Amir. They sell the drinks at 9000 Rupiah per M glass and 7500 Rupiah per S glass. We need to find which two statements about profit percentages are true. 2. **Formula for profit percentage:** $$\text{Profit \%} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100\%$$ 3. **Important rules:** - Cost price is the price OSIS MAN IC pays to Pak Amir. - Selling price is fixed: 9000 for M, 7500 for S. - Profit is selling price minus cost price. - Profit percentage is relative to cost price. 4. **Calculate profit percentages for each relevant option:** (A) Popping Boba size S: - Cost price = 6000 - Selling price = 7500 - Profit = 7500 - 6000 = 1500 - Profit % = (1500 / 6000) * 100 = 25% (B) Bubble Rainbow size S: - Cost price = 5500 - Selling price = 7500 - Profit = 7500 - 5500 = 2000 - Profit % = (2000 / 5500) * 100 \approx 36.36\% (not 40%) (C) Bubble Rainbow size M: - Cost price = 7500 - Selling price = 9000 - Profit = 9000 - 7500 = 1500 - Profit % = (1500 / 7500) * 100 = 20% (D) Popping Boba size M: - Cost price = 8000 - Selling price = 9000 - Profit = 9000 - 8000 = 1000 - Profit % = (1000 / 8000) * 100 = 12.5% (not 19%) 5. **Check capital constraints:** - For M size, max glasses = floor(900000 / cost price M) - For S size, max glasses = floor(900000 / cost price S) 6. **Conclusion:** - (A) is true (25% profit) - (C) is true (20% profit) - (B) and (D) are false based on calculations **Final answer:** The two true statements are (A) and (C).