Calculation of Invoice Value of Goods Sent Out

Given information:

Profit on invoice price = 20%

Goods lost in transit = 1/10th

Cost price of goods lost = ₹20000

Step 1: Calculation of Cost Price of Goods Sent Out

Let the cost price of goods sent out be x.

As the profit on invoice price is 20%, the selling price will be 120% of the cost price.

Selling price of goods sent out = 120% of x = 1.2x

Step 2: Calculation of Quantity of Goods Sent Out

Let the quantity of goods sent out be y.

As 1/10th of goods were lost in transit, the remaining quantity will be 9/10th of the total quantity.

Quantity of goods sent out = 9/10th of y = 0.9y

Step 3: Calculation of Invoice Value of Goods Sent Out

The invoice value of goods sent out will be the selling price of the goods sent out.

Selling price of goods sent out = 1.2x

As the cost price of goods lost is ₹20000, the cost price of the remaining goods will be:

Cost price of remaining goods = x - ₹20000

As the profit on invoice price is 20%, the profit on cost price will be:

Profit on cost price = 20% of (x - ₹20000)

Selling price of remaining goods = Cost price of remaining goods + Profit on cost price

Selling price of remaining goods = (x - ₹20000) + 20% of (x - ₹20000)

Selling price of remaining goods = 1.2x - ₹24000

As the selling price of goods sent out is 1.2x and the quantity of goods sent out is 0.9y, the invoice value of goods sent out will be:

Invoice value of goods sent out = Selling price of goods sent out x Quantity of goods sent out

Invoice value of goods sent out = 1.2x x 0.9y

Substituting the value of 1.2x - ₹24000 for x in the above equation, we get:

Invoice value of goods sent out = (1.2x - ₹24000) x 0.9y

Invoice value of goods sent out = 1.08xy - ₹21600y

Therefore, the invoice value of goods sent out is 1.08xy - ₹21600y.

250000