Ram buys some paper wind fans at 4 per rupee. He then buys same number of paper wind fans from another shop at 5 per rupee. He puts them all together and sells them at 4 per rupee. Will he make a profit or incur a loss? How much? 

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Ram bought paper wind fans for 4 rupees each and then got some more at 5 rupees each. He combined them all and sold them for 4 rupees each. Find out if he made money or lost some, and how much!

Ram buys some paper wind fans at 4 per rupee. He then buys same number of paper wind fans from another shop at 5 per rupee. He puts them all together and sells them at 4 per rupee. Will he make a profit or incur a loss? How much?

Ram will make a profit of 100/9 %. Here’s why:

Explanation

Steps:

Cost Price (CP):

  • Let x be the number of paper wind fans Ram buys at both shops.
  • For the first batch, he spends 4x rupees (4 rupees/fan * x fans).
  • For the second batch, he spends 5x rupees (5 rupees/fan * x fans).
  • Total CP for 2x fans = 4x + 5x = 9x rupees.
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Selling Price (SP):

  • Ram sells all 2x fans at 4 rupees each, earning 8x rupees (4 rupees/fan * 2x fans).

Profit/Loss:

  • Calculate the difference between SP and CP: SP – CP = 8x – 9x = -x rupees.
  • A negative value indicates a loss. However, we need to consider the average cost per fan.

Average Cost Price per Fan:

  • Combine the fans from both shops: Total fans = 2x.
  • Calculate the average CP per fan: (4x + 5x) / 2x = 9/2 rupees.

Profit Calculation:

  • Now, compare the selling price (4 rupees/fan) with the average CP (9/2 rupees/fan).
  • SP – Average CP = 4 – (9/2) = 1/2 rupees profit per fan.

Percentage Profit:

  • Calculate the percentage profit: (Profit/Average CP) * 100% = (1/2) / (9/2) * 100% = 100/9%

Therefore, Ram makes a profit of 11 1/9% on each fan he sells.

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What is Profit and its Formula?

Profit, in simple terms, is the financial gain earned from a business transaction or investment. It represents the positive difference between the revenue earned and the expenses incurred.

There are two main types of profit commonly used in business:

Gross Profit: This is the profit earned after deducting the direct costs associated with producing or acquiring a product or service. It’s calculated as:

Gross Profit = Total Revenue – Cost of Goods Sold (COGS)

Net Profit: This is the final profit remaining after all expenses (both direct and indirect) are subtracted from the total revenue. It’s calculated as:

Net Profit = Total Revenue – Total Expenses

Additional Formulas:

Profit Margin: This expresses the net profit as a percentage of the total revenue, indicating the efficiency of a business in converting sales into profit. It’s calculated as:

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Profit Margin = (Net Profit / Total Revenue) * 100%

Profit Percentage: This expresses the profit as a percentage of the cost price, indicating the markup on an item. It’s calculated as:

Profit Percentage = (Profit / Cost Price) * 100%

Remember, the specific formula and terminology used might differ slightly depending on the context and accounting practices.

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Source: Math Hello Kitty
Categories: Math