A man was to sell his item. Selling it at sh 60,000 would earn him a profit, but selling it at sh 45,000 would lead him to a loss. What was the cost price of the item?

Let the cost price of the item be x.

Selling it at sh 60,000 would earn him a profit, so the selling price would be greater than the cost price:
60,000 > x

Selling it at sh 45,000 would lead him to a loss, so the selling price would be less than the cost price:
45,000 < x

Combining the two inequalities, we get:
45,000 < x < 60,000

Therefore, the cost price of the item must be between sh 45,000 and sh 60,000.

Let the cost price of the item be x.

If he sells it at sh 60,000, he makes a profit. This means that the selling price is greater than the cost price:

60,000 > x

If he sells it at sh 45,000, he makes a loss. This means that the selling price is less than the cost price:

45,000 < x

Combining these two inequalities, we get:

45,000 < x < 60,000

Therefore, the cost price of the item is between sh 45,000 and sh 60,000.