Question

a man by a dozen eggs and calculate that if they have been 20 paise per dozen cheaper he could have brought two more for a rupee what is the price per dozen.​

Answer 1

Answer:

1.20 rupee per dozen

Step-by-step explanation:

let the price of egg is rupee x per dozen

then in 1 rupee 12/x eggs are available

if eggs are 20 paise cheaper

new price per dozen is (x-1/5) rupee

in 1 rupee 12/(x-1/5) eggs are available

As per question

12/(x-1/5) - 12/x = 2

(x-x+1/5)/x(x-1/5) = 1/6

1/(5*x*(x-1/5)) = 1/6

5x(x-1/5) = 6

5x^2 - x - 6 = 0

5x^2 -6x + 5x - 6 = 0

x(5x-6) + 1(5x-6) = 0

(5x-6)(x+1) = 0

x = -1 and 6/5

price cannot be negative

hence, x = 6/5 i.e. 1.20 rupee per dozen

Answer 2

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Given :

☜ 1 dozen eggs = 12 eggs

☜ 1 dozen = 20 paise cheaper

According to the question :

Let the cost of per dozen eggs be ' x '

=> 12 eggs = ( x - 20 paise )

=> 12 = ( x - 20 )

=> x = -20 - 12 ( - ) × ( - ) = ( + )

=> x = 32.

Therefore, per dozen eggs cost Rs. 32.

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