From the following information calculate Net Sales and Gross Profit. Cost of goods sold = Rs.4,50,000 Gross Profit = 25% on Sales.

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Understand the Problem

The question is asking to calculate Net Sales and Gross Profit based on the given information about the cost of goods sold and the gross profit percentage. We will use the relationship between sales, cost of goods sold, and gross profit to find the required values.

Answer

Net Sales = Rs. 600000; Gross Profit = Rs. 150000.
Answer for screen readers

Net Sales = Rs. 6,00,000
Gross Profit = Rs. 1,50,000

Steps to Solve

  1. Understanding Gross Profit in Relation to Sales

Gross Profit is defined as Sales minus Cost of Goods Sold (COGS). Given the Gross Profit percentage, we can express Gross Profit as 25% of Net Sales.

  1. Setting Up the Equation

Let ( S ) represent Net Sales. According to the problem: $$ \text{Gross Profit} = 0.25S $$

Using the relationship between Gross Profit, Sales, and COGS: $$ \text{Gross Profit} = S - \text{COGS} $$

Thus we have the equation: $$ 0.25S = S - 450000 $$

  1. Solving for Net Sales

Now, we can rearrange the equation to isolate ( S ): $$ 0.25S + 450000 = S $$

Subtract ( 0.25S ) from both sides: $$ 450000 = S - 0.25S $$

This simplifies to: $$ 450000 = 0.75S $$

Now, divide both sides by ( 0.75 ): $$ S = \frac{450000}{0.75} $$

  1. Calculating Net Sales

Calculate ( S ): $$ S = 600000 $$

Therefore, Net Sales is Rs. 6,00,000.

  1. Calculating Gross Profit

Now substitute ( S ) to find Gross Profit: $$ \text{Gross Profit} = 0.25 \times S = 0.25 \times 600000 $$

Calculating this gives: $$ \text{Gross Profit} = 150000 $$

Net Sales = Rs. 6,00,000
Gross Profit = Rs. 1,50,000

More Information

This calculation demonstrates the relationship between Cost of Goods Sold, Sales, and Gross Profit. Gross Profit being a percentage of Sales is common in business to assess profitability.

Tips

  • Confusing Gross Profit with Net Profit, which includes more deductions such as operating expenses.
  • Miscalculating the percentage of Sales directly; always ensure to relate back to Sales for accurate Gross Profit calculation.

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