Vongo bought 60 eggs at sh 30,000, on his way some eggs got broken. He made a profit of 1500. Find the number of eggs that got broken if he sold eggs at sh 750?

The total selling price is the cost price plus the profit.

$$\text{Total SP} = \text{Cost Price} + \text{Profit}$$ $$\text{Total SP} = 30,000 \text{ Sh} + 1,500 \text{ Sh}$$ $$\text{Total SP} = 31,500 \text{ Sh}$$

Divide the total selling price by the selling price per egg.

$$\text{Number of eggs sold} = \frac{\text{Total SP}}{\text{Selling price per egg}}$$ $$\text{Number of eggs sold} = \frac{31,500 \text{ Sh}}{750 \text{ Sh/egg}}$$ $$\text{Number of eggs sold} = 42 \text{ eggs}$$

Subtract the number of eggs sold from the total number of eggs bought.

$$\text{Number of broken eggs} = \text{Total eggs bought} - \text{Number of eggs sold}$$ $$\text{Number of broken eggs} = 60 \text{ eggs} - 42 \text{ eggs}$$ $$\text{Number of broken eggs} = \boxed{18 \text{ eggs}}$$