A retail pharmacy stocks six medicines. The table below shows, for each medicine, its therapeutic category, the number of units in stock, the cost price (CP) per unit, the selling price (SP) per unit, and the number of months remaining until the stock expires.
| Medicine | Category | Stock (units) | CP/unit (₹) | SP/unit (₹) | Months to Expiry |
|---|---|---|---|---|---|
| Paracet-500 | Analgesic | 420 | 2.50 | 3.80 | 8 |
| Amoxiclin-250 | Antibiotic | 180 | 6.20 | 9.00 | 5 |
| Cetrizyn-10 | Antihistamine | 300 | 1.80 | 2.70 | 14 |
| Metfor-500 | Antidiabetic | 250 | 3.40 | 5.10 | 3 |
| Omepra-20 | Antacid | 360 | 2.90 | 4.20 | 11 |
| Vitacal-D3 | Supplement | 150 | 4.50 | 6.75 | 20 |
The total cost-price value of a medicine's stock = Stock × CP/unit. The profit margin percentage for a medicine = [(SP − CP)/CP] × 100. Assume all stock will eventually be sold at the listed selling price.
| Medicine | Category | Stock (units) | CP/unit (₹) | SP/unit (₹) | Months to Expiry |
|---|---|---|---|---|---|
| Paracet-500 | Analgesic | 420 | 2.50 | 3.80 | 8 |
| Amoxiclin-250 | Antibiotic | 180 | 6.20 | 9.00 | 5 |
| Cetrizyn-10 | Antihistamine | 300 | 1.80 | 2.70 | 14 |
| Metfor-500 | Antidiabetic | 250 | 3.40 | 5.10 | 3 |
| Omepra-20 | Antacid | 360 | 2.90 | 4.20 | 11 |
| Vitacal-D3 | Supplement | 150 | 4.50 | 6.75 | 20 |
The total cost-price value of a medicine's stock = Stock × CP/unit. The profit margin percentage for a medicine = [(SP − CP)/CP] × 100. Assume all stock will eventually be sold at the listed selling price.
Question 1
Single correct option
Which medicine has the highest profit margin percentage, [(SP−CP)/CP]×100?
- A. Paracet-500
- B. Amoxiclin-250
- C. Cetrizyn-10
- D. Omepra-20
Show answer and solution
Answer: (A) Paracet-500
Compute margin% for each: Paracet-500 = (3.80−2.50)/2.50×100 = 52.0%; Amoxiclin-250 = (9.00−6.20)/6.20×100 ≈ 45.2%; Cetrizyn-10 = (2.70−1.80)/1.80×100 = 50.0%; Metfor-500 = 50.0%; Omepra-20 = (4.20−2.90)/2.90×100 ≈ 44.8%; Vitacal-D3 = 50.0%. The highest is Paracet-500 at 52.0%.
Question 2
Numerical answer
What is the total cost-price value (in ₹) of the entire pharmacy stock (sum of Stock × CP/unit over all six medicines)?
Show answer and solution
Answer: 5275
CP value per medicine = Stock × CP/unit: Paracet-500 = 420×2.50 = 1050; Amoxiclin-250 = 180×6.20 = 1116; Cetrizyn-10 = 300×1.80 = 540; Metfor-500 = 250×3.40 = 850; Omepra-20 = 360×2.90 = 1044; Vitacal-D3 = 150×4.50 = 675. Sum = 1050+1116+540+850+1044+675 = 5275.
Question 3
Single correct option
Which medicine represents the largest cost-price value currently held in stock?
- A. Paracet-500
- B. Amoxiclin-250
- C. Omepra-20
- D. Cetrizyn-10
Show answer and solution
Answer: (B) Amoxiclin-250
CP values: Paracet-500 = 1050, Amoxiclin-250 = 1116, Omepra-20 = 1044, Cetrizyn-10 = 540 (Metfor-500=850, Vitacal-D3=675, both lower). The largest is Amoxiclin-250 at ₹1116, even though it has fewer units than several others, because its cost price per unit is much higher.
Question 4
Numerical answer
What is the combined cost-price value (in ₹) of medicines that will expire within 6 months (i.e., 6 months or less)?
Show answer and solution
Answer: 1966
Medicines with expiry ≤ 6 months: Amoxiclin-250 (5 months, CP value 180×6.20=1116) and Metfor-500 (3 months, CP value 250×3.40=850). Combined = 1116+850 = 1966.
Question 5
Single correct option
If the entire stock of all six medicines is sold at the listed selling prices, what is the overall profit margin (total profit as a percentage of total cost price), to the nearest whole number?
- A. 44%
- B. 46%
- C. 48%
- D. 50%
Show answer and solution
Answer: (C) 48%
Total CP value = 5275 (computed earlier). Total SP value = sum of Stock×SP/unit = 420×3.80 + 180×9.00 + 300×2.70 + 250×5.10 + 360×4.20 + 150×6.75 = 1596+1620+810+1275+1512+1012.5 = 7825.5. Overall profit% = (7825.5−5275)/5275×100 ≈ 48.35%, which rounds to 48%.
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