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# Selling price of 12 Eggs is Equal to Cost Price of 16 Eggs. Find the Profit Percentage.

A percentage is a number or ratio that represents a fraction of 100.

## Answer: If the Selling Price of 12 eggs is equal to cost price of 16 eggs, the profit percentage is equal to 33%.

Let's find the profit percentage

**Explanation:**

Let selling price of 12 eggs be Rs. x

According to the question,

Cost price of 16 eggs = Rs. x (Since, selling price of 12 eggs is equal to cost price of 16 eggs)

The selling price of 1 egg = x/12

Therefore,

Cost price of 1 egg = x/16

By comparing the selling price and cost price per egg we see that,

x/12 > x/16

Thus, selling price > cost price

Hence, it is a profit

Profit = Selling price – Cost price

x/12 – x/16 = x/48

Thus, Cost price = x/16, Selling price = x/12, Profit = x/48

Profit percentage is given by:

**Profit % = (Profit/Cost price) ×100%**

= (x/48) / (x/16) × 100%

= (x/48) × (16/x) × 100%

On solving we get,

Profit % = 33.3%

### Thus, If the sold price of 12 eggs is equal to cost price of 16 eggs, the profit percentage is equal to 33.3%

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