There are 500 eggs in a box. `3/(25)` got broken, `4/5` of the remaining eggs were sold. The number of eggs left is:

Options

A. 80
B. 88
C. 40
D. 36

Answer

To solve the problem step by step, we will follow the given information about the eggs.

**Step 1: Calculate the number of broken eggs.**
Given that \( \frac{3}{25} \) of the 500 eggs are broken, we can calculate the number of broken eggs as follows:

\[ \text{Broken eggs} = \frac{3}{25} \times 500 \]

Calculating this gives:

\[ \text{Broken eggs} = \frac{3 \times 500}{25} = \frac{1500}{25} = 60 \]

**Step 2: Calculate the number of remaining eggs after some are broken.**
Now, we subtract the number of broken eggs from the total number of eggs:

\[ \text{Remaining eggs} = 500 - 60 = 440 \]

**Step 3: Calculate the number of eggs sold.**
Next, we know that \( \frac{4}{5} \) of the remaining eggs were sold. We can calculate the number of sold eggs:

\[ \text{Sold eggs} = \frac{4}{5} \times 440 \]

Calculating this gives:

\[ \text{Sold eggs} = \frac{4 \times 440}{5} = \frac{1760}{5} = 352 \]

**Step 4: Calculate the number of eggs left.**
Finally, we find out how many eggs are left after selling some:

\[ \text{Eggs left} = \text{Remaining eggs} - \text{Sold eggs} = 440 - 352 \]

Calculating this gives:

\[ \text{Eggs left} = 440 - 352 = 88 \]

Thus, the number of eggs left is **88**.

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