x of Kolkata sends out goods costing rupees 80000 to y of Mumbai so as...
let,invoice price=100profit =20cost=100-20=80cost of goods is 80000 and invoice price of goods is 80000/80*100=100000invoice price of goods sold =100000*3/5=60000now,goods sold at 5% above the invoice price therefore, amount of sales=60000+5% of 60000=63000
x of Kolkata sends out goods costing rupees 80000 to y of Mumbai so as...
Understanding the Situation
X of Kolkata sends goods worth 80,000 rupees to Y of Mumbai, aiming for a 20% profit on the invoice price.
Calculating the Invoice Price
- Cost of goods = 80,000 rupees
- Desired profit = 20% of cost
- Profit amount = 20% of 80,000 = 16,000 rupees
- Invoice price = Cost + Profit = 80,000 + 16,000 = 96,000 rupees
Goods Sold
- Total goods sent = 100%
- Goods sold by Y = 3/5 of total goods
- Fraction of goods sold = 3/5 of 96,000 = 57,600 rupees
Calculating Sales Price
- Selling price above invoice price = 5%
- Selling price per unit = Invoice price + 5% of Invoice price
- Selling price = 96,000 + (5% of 96,000) = 96,000 + 4,800 = 100,800 rupees
Amount from Sales
- Amount from sales = 57,600 rupees (goods sold) * (Selling price/Invoice price)
- Amount from sales = 57,600 * (100,800 / 96,000)
- Amount from sales = 57,600 * 1.05 = 60,480 rupees
Final Amount from Sales
- Total amount from sales = 60,480 rupees
In summary, the total amount from the sales made by Y in Mumbai is 60,480 rupees.
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