Question:
A man buys eggs at 2 for Rs 1 and an equal number at 3 for Rs 2 and sells the whole at 5 for Rs 3. What's the percentage of gain or loss?
A) 27/7 % gain
B) 16/7 % loss
C) 23/7 % loss
D) 20/7 % gain
Answer: D) 20/7 % gain.
Explaination:
First Variety costs per egg: Rs. 1/2
Second Variety costs per egg: Rs.2/3
He sells all of them for Rs. 3/5. per egg
Let us consider he bought 30 eggs of each Variety. (Why 30? Well, we can consider any number it is just that LCM(2,3,5) which is denominators of our rates 1/2, 2/3, 3/5. Therefore with 30, our multiplication with them will be easier)
Since Price*Quantity=Expenditure
Total cost of First Variety = (1/2)*30=15
Total cost of Second Variety = (2/3)*30=20
The total cost of Both the Varieties= 15+20=35
He sells all of them for = (3/5)*(30+30)= 36
Here, CP=35 & SP=36
%Profit = (SP-CP)*100/CP
%Profit = (36–35)*100/35
%Profit = 100/35
So %Profit= 20/7%.
A man buys eggs at 2 for Rs 1 and an equal number at 3 for Rs 2 and sells the whole at 5 for Rs 3. What's the percentage of gain or loss?
A) 27/7 % gain
B) 16/7 % loss
C) 23/7 % loss
D) 20/7 % gain
Answer: D) 20/7 % gain.
Explaination:
First Variety costs per egg: Rs. 1/2
Second Variety costs per egg: Rs.2/3
He sells all of them for Rs. 3/5. per egg
Let us consider he bought 30 eggs of each Variety. (Why 30? Well, we can consider any number it is just that LCM(2,3,5) which is denominators of our rates 1/2, 2/3, 3/5. Therefore with 30, our multiplication with them will be easier)
Since Price*Quantity=Expenditure
Total cost of First Variety = (1/2)*30=15
Total cost of Second Variety = (2/3)*30=20
The total cost of Both the Varieties= 15+20=35
He sells all of them for = (3/5)*(30+30)= 36
Here, CP=35 & SP=36
%Profit = (SP-CP)*100/CP
%Profit = (36–35)*100/35
%Profit = 100/35
So %Profit= 20/7%.
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