Math, asked by gurutippa5182, 11 hours ago

A shopkeeper buys eggs for ruppee 15 a dozen and sell them at 7 for ruppee 4. Find the gain or loss percent.

Answers

Answered by tennetiraj86
2

Step-by-step explanation:

Given :-

A shopkeeper buys eggs for rupee 15 a dozen and sell them at 7 for ruppee 4.

To find :-

Find the gain or loss percent.

Solution :-

Given that :

The cost price of a dozen eggs = Rs. 15

Selling Price of 7 eggs = Rs. 4

Selling Price of 1 egg = Rs. 4/7

Selling Price of a dozen eggs

= 12×(4/7)

= (12×4)/7

= 48/7

Selling Price of a dozen eggs = Rs. 48/7

Selling Price < Cost Price

He gets loss

Loss = Cost Price - Selling Price

=> Loss = 15-(48/7)

=> Loss = [(15×7)-48]/7

=> Loss = (105-48)/7

=> Loss = Rs. 57/7

We know that

Loss % = (Loss/Cost Price)×100

=> Loss % = [(57/7)/15]×100

=> Loss % = [57/(7×15)]×100

=> Loss % = (57/105)×100

=> Loss % = (57×100)/105

=> Loss% = 5700/105

=> Loss % = 54.2857...

=>Loss % = 54.29 %

Answer:-

The shopkeeper gets Rs. 57/7 = Rs. 8.14

The loss percentage for the given problem is 54.29%

Used formulae:-

  • Loss = Cost Price - Selling Price

  • Loss % = (Loss/Cost Price)×100
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