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).
Profit Percentage 34E123
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