Question

john bought 100 eggs for rs.40. out of these, 4 eggs were found to be broken as he sold the remaining eggs @ rs.7.50 per dozen. find his gain or loss percent?

Answer 1

CP of 100 Eggs = Rs. 40

SP of 12 Egg = Rs 7.5
SP of 1 Egg = Rs (7.5/12)

since 4eggs were broken,,,John sold only 96 eggs

so SP of 96 eggs = (7.5/12)X96
= Rs 60


Total Profit = SP - CP
= 60-40
=Rs. 20


Profit % = Profit/CP x100
= (20/40)x100
= 50%

Answer 2

SOLUTION :-

John brought 100 eggs at Rs 40

So,

Cost Price (C.P) of 100 eggs = Rs 40

Out of 100 eggs, 4 eggs were broken

so, the number of eggs which were not broken

= 100 - 4

= 96 eggs

Now,

John sells the remaining 96 eggs at the rate of Rs 7.50 per dozen

Here,

1 dozen = 12

So, 96 = $\frac{96}{12}$ = 8 dozens

John sells 8 dozens

S.P of 8 dozen = 8 × 7.50

                        = Rs 60

Now,

C.P = Rs 40   and    S.P = Rs 60

So,

C.P < S.P

than it is a profit

Now,

Profit = S.P - C.P

Profit = Rs 60 - Rs 40

Profit = Rs 20

Now,

Profit% = $\frac{Profit}{C.P} \times 100$

Profit% =  $\frac{20}{40} \times 100$

Profit% = 50%

Hence

John got 50% profit