Question

A shopkeeper bought 45 dozen eggs at rupee 25 per dozen out of these eggs 40 were broken at what price per dozen must he sell the raimining eggs to gain 20% on his investment.

Answer 1

At Rs 32.40 per dozen must the shopkeeper sell the remaining eggs to gain 20% on his investment.

Given Cost Price of 1 dozen egg = Rs 25

So, CP of 45 dozen eggs (45×12 = 540 eggs) = Rs (25×45) = Rs 1125

1 dozen means 12.

40 eggs discarded

Eggs remaining = 540 - 40 = 500

To gain 20% profit on 500 eggs,

SP = (100+Profit)% of CP

= 120% of Rs 1125

= Rs 1350

So, he must sell the remaining 500 eggs at Rs 1350 to get 20% profit on whole.

500 eggs mean 500/12 dozen

Price per dozen = Rs (1350 / [500/12]) = Rs 32.40

This is the required price.