Understanding the Problem: Tube Light Profit Calculation

This problem involves calculating the profit made by a trader who bought 56 tube lights but some were damaged during transit. We need to find the net profit after selling the remaining ones.

Given Information:

• Number of tube lights purchased: 56
• Total cost price (CP) for 56 tube lights: ₹56
• Number of tube lights broken in transit: 20
• Selling price (SP) per remaining tube light: ₹4.60

Step-by-Step Calculation:

1. Calculate Cost Price (CP) per Tube Light:

First, let's find out how much the trader paid for each tube light.

The total cost for 56 tube lights was ₹56.

CP per tube light = Total Cost / Number of Tube Lights Purchased

$ \text{CP per tube light} = \frac{₹56}{56} = ₹1 $

So, each tube light originally cost ₹1.

2. Calculate the Number of Tube Lights Sold:

Some tube lights were broken, so we need to determine how many were actually available for sale.

Number of tube lights sold = Total purchased - Number broken

$ \text{Number sold} = 56 - 20 = 36 $

The trader sold 36 tube lights.

3. Calculate the Total Selling Price (SP):

Now, let's calculate the total revenue earned from selling the remaining tube lights.

Total SP = Number of tube lights sold \(\times\) Selling price per tube light

$ \text{Total SP} = 36 \times ₹4.60 $

To calculate this:

$ 36 \times 4.60 = 165.60 $

The total amount earned from selling the tube lights was ₹165.60.

4. Calculate the Profit:

Profit is the difference between the total selling price and the total cost price.

Profit = Total SP - Total CP

$ \text{Profit} = ₹165.60 - ₹56 $

$ \text{Profit} = ₹109.60 $

Conclusion:

The trader made a profit of ₹109.60 from selling the tube lights.