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Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are…

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Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?
  • A73:106
  • B73:116
  • C73:113
  • D73:189
Answer not set
0
CCommunity
it from previous year ssc papers, option 2 is the right answer
0
CCommunity
Let the capacity of each bottle = $63$ litres [L.C.M.($7,7,9$)]

Ratio of milk and water in the three bottles respectively = $2:5 , 3:4$ and $4:5$

Milk in 1st bottle = $\frac{2}{(2+5)}\times63=18$ litres

and water in 1st bottle = $63-18=45$ litres

Similarly, milk in 2nd bottle = $\frac{3}{7}\times63=27$ litres

and water in 2nd bottle = $63-27=36$ litres

Similarly, milk in 3rd bottle = $28$ litres and water = $35$ litres

Total milk = $18+27+28=73$ litres

and total water = $45+36+35=116$ litres

$\therefore$ Required ratio = $\frac{73}{116}$

Ans - (B)