A health food store specializing in dietary supplements and whole grains recorded the following sales figures (in kilograms) for various food categories last month: Millets (M) = 500 kg at a cost price of 40/kg and selling price of 50/kg; Protein supplements (P) = 300 kg at a cost price of 80/kg and selling price of 100/kg; Vitamin supplements (V) = 200 kg at a cost price of 60/kg and selling price of 80/kg; Carbohydrates (C) = 600 kg at a cost price of 80/kg and selling price of 100/kg; Fats (F) = 100 kg at a cost price of 120/kg and selling price of 150/kg. Additionally, they sold 50 kg of mixed nuts (N) at a cost price of 100/kg and a selling price of 130/kg
What is the total weight (in kg) of Millets and Carbohydrates sold last month?
- 700 kg
- 1100 kg
- 500 kg
- 600 kg
The Correct Option is B
Solution and Explanation
- Millets (M) = 500 kg
- Carbohydrates (C) = 600 kg
Total weight = Millets weight + Carbohydrates weight
Total weight = 500 kg + 600 kg = 1100 kg
What was the total revenue (in ₹) from the sales of Millets and Protein supplements?
- 25000
- 80000
- 55000
- 35000
The Correct Option is C
Solution and Explanation
To find the total revenue from Millets and Protein supplements, we'll calculate the revenue for each item and then add them together. Revenue is determined by multiplying the selling price per kilogram by the quantity sold.
Millets (M):Nbsp;
- Selling Price per kg = ₹50
- Quantity Sold = 500 kg
- Revenue from Millets = 500 kg × ₹50/kg = ₹25,000
Protein Supplements (P):
- Selling Price per kg = ₹100
- Quantity Sold = 300 kg
- Revenue from Protein Supplements = 300 kg × ₹100/kg = ₹30,000
Total Revenue: ₹25,000 (Millets) + ₹30,000 (Protein Supplements) = ₹55,000
Therefore, the total revenue from selling Millets and Protein supplements is ₹55,000.
What was the total profit (in ₹) earned from the sale of Vitamin supplements?
- 2000
- 4000
- 6000
- 8000
The Correct Option is B
Solution and Explanation
To find the total profit from selling Vitamin supplements, we calculate the profit per kilogram and then multiply it by the total kilograms sold.
Step 1: Calculate the profit per kg:
Cost Price per kg = ₹60
Selling Price per kg = ₹80
Profit per kg = Selling Price - Cost Price = ₹80 - ₹60 = ₹20
Step 2: Calculate the total profit for 200 kg:
Total Profit = Profit per kg × Quantity sold = ₹20/kg × 200 kg = ₹4000
The total profit from selling Vitamin supplements is ₹4000.
What was the total cost (in ₹) of the Carbohydrates and Fats purchased by the store?
- 60000
- 72000
- 48000
- 12000
The Correct Option is B
Solution and Explanation
To find the total cost of Carbohydrates and Fats, calculate the cost for each and sum them. The cost for each is the quantity sold multiplied by the unit cost.
Step 1: Calculate the cost of CarbohydratesNbsp;
Quantity of Carbohydrates (C) = 600 kg
Cost price per kg = ₹80
Total Cost of Carbohydrates = Quantity × Cost price per kg
\( Total\ Cost\ of\ Carbohydrates = 600 \times 80 = ₹48000 \)
Step 2: Calculate the cost of Fats
Quantity of Fats (F) = 100 kg
Cost price per kg = ₹120
Total Cost of Fats = Quantity × Cost price per kg
\( Total\ Cost\ of\ Fats = 100 \times 120 = ₹12000 \)
Step 3: Calculate the total cost of Carbohydrates and Fats
Total Cost = Total Cost of Carbohydrates + Total Cost of Fats
\( Total\ Cost = 48000 + 12000 = ₹60000 \)
The calculated total cost is ₹60000. The provided correct answer is ₹72000. Please double-check the calculations or the given options.
What percentage of the total revenue was generated by the sale of Mixed Nuts?
- 7%
- 5%
- 9%
- 10%
The Correct Option is B
Solution and Explanation
To find the percentage of total revenue from Mixed Nuts, first calculate the revenue for each category, then determine Mixed Nuts' contribution to the overall revenue.
Step 1: Calculate revenue per category.
- Millets (M):
Revenue = 500 kg × 50/kg = 25,000 - Protein supplements (P):
Revenue = 300 kg × 100/kg = 30,000 - Vitamin supplements (V):
Revenue = 200 kg × 80/kg = 16,000 - Carbohydrates (C):
Revenue = 600 kg × 100/kg = 60,000 - Fats (F):
Revenue = 100 kg × 150/kg = 15,000 - Mixed Nuts (N):
Revenue = 50 kg × 130/kg = 6,500
Step 2: Calculate total revenue.
Total Revenue = 25,000 + 30,000 + 16,000 + 60,000 + 15,000 + 6,500 = 152,500
Step 3: Calculate Mixed Nuts' percentage contribution.
Percentage from Mixed Nuts = (Revenue from Mixed Nuts / Total Revenue) × 100
= (6,500 / 152,500) × 100 ≈ 4.26%
Therefore, the closest percentage to the given options is 5%.
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