Question 13

Due to increase of 20% in the price of eggs, 2 eggs less are available for Rs 24. The present rate of eggs per dozen is

Solution

Let the cost price of one egg be Rs. A

Therefore, in Rs. 24, the number of eggs that can be purchased = $$\dfrac{24}{A}$$

Due to an increase of 20% in the price of eggs, the new price of one egg = Rs. 1.2 A

Now, with this amount the number of eggs that can be purchased = $$\dfrac{24}{1.2A}$$

It is given that their difference is 2.

Thus, $$\dfrac{24}{A}$$ when subtracted from $$\dfrac{24}{1.2A}$$, we will get 2

$$\dfrac{24}{A}-\dfrac{24}{1.2A}=2$$

=> $$\dfrac{24}{A}-\dfrac{20}{A}=2$$

=> $$\dfrac{4}{A}=2$$

Thus, A = Rs 2 per egg

We need to find the present rate of eggs per dozen is

Present rate of one egg = 2*1.2 = 2.4

Therefore, the cost of 1 dozen eggs = 12*2.4 = Rs.28.8/dozen

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