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Q.

Traders buy dried fruit at prices of Rs.100, Rs.80 and Rs.60 per kg. He bought them in a weight ratio of Question Image. He finds that selling the first two makes a total profit of Question Imageand eventually sells the entire lot he had with no profit or loss. What is the percentage of the loss he suffered in the third set?


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a

40%

b

20%

c

30%

d

50% 

answer is A.

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Detailed Solution

Concept: This question only shows the weight ratio at which the fruit is purchased. You also don't need the exact weight of the fruit to solve this question, as you need to find the winning percentage. Instead, assume the weight of the purchased fruit of the first variety is 12 x kg, and let the weight of the other fruits be an integer to determine the total cost  and selling price of the fruit. You can use the gross profit information to set up an equation and solve it to get the answer to your question.
The three types of weights are Question Imagerespectively. after that
Total C.P. Question ImageRs. Question ImageQuestion Image Rs. Question ImageS.P. of the first two varieties
Question Image Rs. Question ImageQuestion Image Rs. Question ImageS.P. of the third variety
Question Image Rs. Question ImageQuestion ImageLoss on third variety
Question ImageQuestion ImageQuestion Image   Hence, the correct answer is option 1.
 
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