Question

A man sells 45 lemons for 40 and loses 20%. At what price should he sell 24 lemons to the
customer to make a 20% profit?​

Answer 1

Answer:

In order to make a profit of 20%, he should sell 24 lemons for Rs.40.50

Step-by-step explanation:

Given: Man sells 45 lemons for Rs.40 and loses 20%

Selling price for 1 lemon (SP) = Rs.(45/40) = Rs.1.125

Loss% = 20

=> SP = 20% lower than CP

=> SP = 80% of CP

=> SP = 0.8*CP

=> CP = SP/0.8

=> CP = 1.125/0.8

=> CP = 1.40625

The cost price of 1 lemon = Rs.1.40625

If he needs to make a profit of 20%, he should sell his product at 20% more than CP.

=> SP = CP + 20%*CP

=> SP = 1.2*CP

=> SP = 1.6875

He should sell 1 lemon for Rs.1.6875

=> He should sell 24 lemons for Rs.(1.6875*24)

=> He should sell 24 lemons for Rs.40.50

Answer: In order to make a profit of 20%, he should sell 24 lemons for Rs.40.50