Two women together took 100 eggs to the market , one had more than the other. Both sold them for the same sum of money. The first then said to the other : "if i had your eggs I would have earned ₹ 15",to which the second replied :" if I had your eggs , I would have earned ₹ 6 2/3 ". How many eggs did each had in the beginning?
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Answer:
40 and 60 eggs
Step-by-step explanation:
Let say One had = x eggs
Then other had = 100 - x eggs
Let Say Both sold the eggs for = y Rs
Selling Price with E eggs = S/x
She would have got rs 15 by selling other's egg
=> (y/x)(100 - x) = 15 - Eq 1
Selling Price with 100-x eggs = y/(100-x)
She would have got rs 20/3 by selling other's egg
=> (S/(100-x))x = 20/3 Eq 2
Dividing Eq 1 and Eq 2
=> (100-x / x)² = 15/(20/3)
=> (100-x / x)² = 9/4
=> 100- x / x = 3/2
=> 200 - 2x = 3x
=> 5x = 200
=> x = 40
One had 40 Eggs
Other Had =
100-x (x=40)
=100-40 = 60
60 eggs
HOPE THIS HELPS.............
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