Question

A woman bought certain number of eggs out of which 4% were bad after selling 75% of the remaining she had 96 eggs find the number of eggs she bought

Answer 1

Let the number of eggs she brought be x.

Given 4% of eggs were bad = 4x/100

                                               = x/25.

Then the remaining eggs will be x - x/25

                                                      = 24x/25.

Given that 75% of the eggs were sold.

                = 24x/25 * 75/100

               = 72x/100

               = 18x/25.

Then the remaining eggs will be 24x/25 - 18x/25

                                                     = 6x/25.

Given, the remaining she had = 96.i.e 

= 6x/25 = 96

6x = 25 * 96

x = 400.

The number of eggs she brought = 400.


Hope this helps!

Answer 2

Let the total number of eggs be 100

Then , tne number of bad egg = 4

remaining number of eggs = 96

Number of eggs sold = 75% of 96 = 75/100×96 = 72

Now, number of remaining eggs 96 - 72 = 24

If 24 eggs remain , total number of eggs = 100

If 1 egg remain , total number of eggs = 100/24

If 96 eggs remain , total number of eggs = 100/24×96 = 400