a reduction of 20% in the price of eggs would enable a man to obtain 6 more for rs 10 what is the original price per dozen of eggs
But answer is 5 can you explain
12.5/x-10/x=6
6x=2.5
X=2.5/6=0.4166
Price per dozen
12*0.4166=4.999 or 5
To find the original price per dozen of eggs, we need to first understand the given information:
1. A reduction of 20% in the price: This means that the price of eggs is reduced by 20% from the original price.
2. A man can obtain 6 more eggs for Rs 10: This means that the price reduction allows the man to buy 6 additional eggs for Rs 10.
Let's break down the problem step by step, starting with the second piece of information:
1. If the man can obtain 6 additional eggs for Rs 10, it means that the original price per egg must be Rs 10/6.
Now, let's use this information to calculate the original price per dozen of eggs:
2. We know that a dozen consists of 12 eggs. So, to calculate the price per dozen, we need to multiply the price per egg by 12.
Original price per dozen of eggs = (Rs 10/6) x 12
Simplifying this equation, we have:
Original price per dozen of eggs = Rs 20
Therefore, the original price per dozen of eggs is Rs 20.
original cost per egg --- x
cost per egg after reduction = .8x
number of eggs for rs 10 at x = 10/x
number of eggs for rs 10 at .8x = 10/(.8x) = 12.5/x
12.5/x - 10/x = 6
2.5x = 6
x = 6/2.5 = 2.4
original cost per dozen = 12(2.4) = Rs 28.8
check my arithmetic