The Cow Buying and Selling Riddle: How Much Did I Earn?

The image above presents a classic math riddle that has confused people for years. It tells a simple story about buying and selling a cow. The question at the end asks how much money was earned. At first glance, it seems easy. But many people get it wrong because they overthink it.

The Transactions

Let us break down the story step by step.

The first transaction: I bought a cow for $800.
The second transaction: I sold it for $1000.
The third transaction: I bought it again for $1100.
The fourth transaction: I sold it again for $1300.

The question is: how much did I earn?

The Common Mistake

Many people calculate the total profit by subtracting the total costs from the total sales. They add the purchase prices: $800 + $1100 = $1900. They add the selling prices: $1000 + $1300 = $2300. Then they subtract: $2300 – $1900 = $400. So, they answer $400.

Other people get confused by the fact that the cow was bought twice. They might think the profit is only $200 or $300. They lose track of the two separate transactions.

The Correct Answer

The correct answer is $400. But let us see why by looking at each transaction separately.

First transaction: Bought for $800, sold for $1000. Profit = $200.
Second transaction: Bought for $1100, sold for $1300. Profit = $200.

Total profit = $200 + $200 = $400.

So, the answer is $400.

Why This Riddle Works

This riddle works because it plays with your assumptions. When you read the story, you might think the cow is the same cow throughout. You might think the second purchase cancels out the first profit. But that is not the case. Each transaction is separate. The fact that it is the same cow does not matter. What matters is the money spent and the money earned in each deal.

The Bottom Line

The correct answer to the cow riddle is $400. It is a fun and simple puzzle that teaches an important lesson: do not overcomplicate things. Take each step one at a time. So, the next time you encounter a riddle, slow down and think carefully. The answer is often simpler than you think.

Did you get the right answer? Share this riddle with your friends and see if they can solve it.