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The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 2…

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The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?
  • A1 : 1 : 2
  • B6 : 6 : 13
  • C12 : 15 : 19
  • D4 : 9 : 13
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CCommunity
Let the number of cans of orange, pineapple and mixed fruit juices be 8a, 9a and 15a respectively

Number of orange cans sold = (8a)(25/100) = 2a

Number of orange cans left in the stock = 8a - 2a = 6a

Number of pineapple cans sold = (9a)(33.33/100) = 3a

Number of pineapple cans left in the stock = 9a - 3a = 6a

Number of mixed fruit cans sold = (15a)(20/100) = 3a

Number of mixed fruit cans left in the stock = 15a - 3a = 12a

∴ Required ratio = 6a : 6a : 12a = 1 : 1 : 2
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CCommunity
Let the number of cans of orange, pineapple and mixed fruit juices be 8a, 9a and 15a respectively

Number of orange cans sold = (8a)(25/100) = 2a

Number of orange cans left in the stock = 8a - 2a = 6a

Number of pineapple cans sold = (9a)(33.33/100) = 3a

Number of pineapple cans left in the stock = 9a - 3a = 6a

Number of mixed fruit cans sold = (15a)(20/100) = 3a

Number of mixed fruit cans left in the stock = 15a - 3a = 12a

∴ Required ratio = 6a : 6a : 12a = 1 : 1 : 2