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The number of oranges in three baskets are in the ratio of 3 : 4 : 5. In which ratio the no. of oranges in first two baskets must be increased so that the new ratio becomes 5 : 4 : 3?

Correct Answer: 2:1

Explanation:

Let,   B1 : B2 : B3 = 3x : 4x : 5x 


 


again  B1 : B2 : B3 = 5y : 4y : 3y


 


Since there is increase in no.of oranges in first two baskets only, it means the no. of oranges remains constant in the third basket


 


Therefore,   5x = 3y


 


Hence    3x : 4x : 5x   =>    9 y 5 : 12 y 5 : 15 y 5  = 9y:12y:15y


 


and       5y : 4y : 3y   =>   25x : 20x : 15x


 


Therfore, increment in first basket = 16


 


Increment in second basket = 8


 


Thus, required ratio = 16/8 = 2:1


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