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Q.

When the price of eggs is reduced by 20 % it enables a man to buy 20 more eggs for Rs. 40. Find the reduced price per egg?


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a

38 Paise

b

42 Paise

c

40 Paise

d

44 Paise 

answer is C.

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Detailed Solution

Concept- To solve this question, let us consider the price of each egg before the reduction was Rs. Question Image. As per the question statement the price of eggs was reduced by 20%.
So, we will calculate the new egg price per egg, on  Question Image.
Using the above calculated egg prices, we will also calculate the number of eggs that could be bought for Rs. 40 in each case and use this particular data to form an equation and solve it to obtain the value of  Question Image.
Price of each egg before reduction was Rs. Question Image (considered)
Therefore, price of per piece of egg after reduction = Question Image = Question Image= Question Image  = Question ImageAfter this price reduction, a man is able to buy 20 more eggs for Rs. 40
Now, let us suppose that, with the price of each egg is Rs. Question Image, Question Image a number of eggs are available at Rs. 40 and when the price of each egg is reduced to Rs. Question ImagethenQuestion Image is the number of eggs available at rupees 40.
Question ImageNow, at Rs. Question Image,1 egg can be bought.
Then, at Rs. 1, (Question Image) eggs can be bought.
Then, at Rs. 40, Question Image eggs can be bought.
i.e., Question ImageAnd after price reduction, similarly, at Rs. Question Image,1 egg can be bought.
At Rs. 1, Question Image eggs can be bought.
And at Rs. 40, Question Imageeggs can be bought.
i.e., Question ImageQuestion ImageNow, Question Imageis the price of one gg before reduction.
Price of single egg after reduction = Question Image= Question Image= Question Image.
Hence, the correct answer is 3) 40 Paise.
 
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