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In a mixture, sugar and milk are in the ratio 4 : 5. If 7 litres of milk is added to it, then the ratio of sugar and milk in the new mixtur…

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In a mixture, sugar and milk are in the ratio 4 : 5. If 7 litres of milk is added to it, then the ratio of sugar and milk in the new mixture becomes 2 : 3. What is the total quantity (In litres) of sugar in new mixture?
  • A35
  • B28
  • C42
  • D24
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Discussion 1

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CCommunity
Let initial quantity of sugar = 4a and milk = 5a

(Initial quantity of sugar)/(Initial quantity of milk + Quantity of milk added) = 2/3

⇒ 4a/(5a + 7) = 2/3

⇒ 10a + 14 = 12a

⇒ 2a = 14

⇒ a = 7 liters

∴ Quantity of Sugar in new mixture is same as initial so = 4a = 4 × 7 = 28 liters