Question
The proportion of Honey to Water
in a ___ litre mixture (Honey + Milk) is 7:4, respectively. Then, 30% of this mixture is replaced with ___ litres of Milk. As a result, the final amount of Milk in the mixture becomes ___ compared to the amount of Honey in it. Which of the following options provide values that correctly complete the blanks in the given order to make the statement true? I. 330, 33.6, 20% less II. 165, 60.9, 40% more III. 220, 56.7, 15% more IV. 132, 33, 8% lessSolution
ATQ, Option I, Quantity of milk replaced with 30% of mixture = 330 × 7/11 × 0.7 × 0.8 - 330 × 4/11 × 0.7 = 117.6 - 84 = 33.6 (True) Option II, Quantity of milk replaced with 30% of mixture = 165 × 7/11 × 0.7 × 1.4 - 165 × 4/11 × 0.7 = 102.9 - 42 = 60.9 (True) Option III, Quantity of milk replaced with 30% of mixture = 220 × 7/11 × 0.7 × 1.15 - 220 × 4/11 × 0.7 = 112.7 - 56 = 56.7 (True) Option IV, Quantity of mik replaced with 30% of mixture = 132 × 7/11 × 0.7 × 0.92 - 132 × 4/11 × 0.7 = 54.096 - 33.6 = 20.496 (False) Hence, Only I, II and III options are correctÂ
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