Question

A grocer buys 10 dozen eggs at 55₹ per dozen. Out of these, 10 eggs were found broken and had to be thrown away. At what price per egg should he sell so as to make profit of 10%?

Answer 1

No.of eggs bought by grocer=10*12=120
No.of eggs broken=10
No.of eggs remaining=120-10=110

Rate of eggs=55/dozen
he bought 10 dozen of eggs
Total CP=55*10=550

No.of eggs he can sell=110
Total Selling price,SP
Given that ((SP-CP)/CP)=10/100---------because(10% profit)
=>(SP-CP)/CP=0.1
=>SP=0.1CP+CP
SP=1.1CP
=1.1*550
=605
therfore selling price of each egg=SP/No.of eggs he can sell=605/110
=5.5

So he should sell 5.5 rupees per egg to gain aprofit of 10%
which he should sell a dozen of eggs at a rate of (12*5.5)=66 rupees for a profit of 10%