Calculating Average Jelly Cost in a Mixed Packet
This problem asks us to find the average cost of a single jelly when different types of jellies are mixed in a packet. We are given the price per unit for each type of jelly and the number of units of each type in the packet.
Understanding the Costs and Quantities
First, let's list the information provided:
- Orange Jelly: Price = ₹2.00 per unit, Quantity = 80 units
- Mango Jelly: Price = ₹3.00 per unit, Quantity = 50 units
- Strawberry Jelly: Price = ₹3.50 per unit, Quantity = 120 units
Step-by-Step Calculation of Total Cost
To find the average cost, we need the total cost of all jellies and the total number of jellies. Let's calculate the cost for each type of jelly:
- Cost of Orange Jellies: This is calculated by multiplying the quantity of orange jellies by their price per unit.
Total Cost (Orange) = $80 \times ₹2.00 = ₹160.00$
- Cost of Mango Jellies: Similarly, we multiply the quantity of mango jellies by their price per unit.
Total Cost (Mango) = $50 \times ₹3.00 = ₹150.00$
- Cost of Strawberry Jellies: We multiply the quantity of strawberry jellies by their price per unit.
Total Cost (Strawberry) = $120 \times ₹3.50 = ₹420.00$
Determining the Total Number of Jellies
Next, we find the total number of jellies in the packet by summing up the quantities of each type:
Total Number of Jellies = Quantity (Orange) + Quantity (Mango) + Quantity (Strawberry)
Total Number of Jellies = $80 + 50 + 120 = 250$ jellies
Calculating the Total Cost of the Packet
Now, we sum the costs of all the jellies to get the total cost of the packet:
Total Cost (Packet) = Total Cost (Orange) + Total Cost (Mango) + Total Cost (Strawberry)
Total Cost (Packet) = $₹160.00 + ₹150.00 + ₹420.00 = ₹730.00$
Finding the Average Cost Per Jelly
The average cost per jelly is found by dividing the total cost of the packet by the total number of jellies:
Average Cost per Jelly = Total Cost (Packet) Total Number of Jellies
Average Cost per Jelly = $₹730.00 \div 250$
Let's perform the division:
Average Cost per Jelly = $₹ \frac{730}{250} = ₹ \frac{73}{25}$
Average Cost per Jelly = $₹2.92$
Summary Table
| Jelly Type | Price per Unit (₹) | Quantity | Total Cost (₹) |
|---|---|---|---|
| Orange | 2.00 | 80 | 160.00 |
| Mango | 3.00 | 50 | 150.00 |
| Strawberry | 3.50 | 120 | 420.00 |
| Total | 250 | 730.00 |
Therefore, the average cost of a jelly in the mixed packet is ₹2.92.
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