uantitative 3 Sections, 45 Questions, Total marks 45.00Q 35. A cup of milk containing sugar and pure milk in the ratio 4 : 1 respectively is mixed with another cup of milk of same volume as the earlier and containing 15% of sugar. Determine the ratio of total quantity of sugar to the total quantity of pure milk. Ops: A. 13 : 15 B. 19 : 21 C. 17 : 19 D. 15 : 17
Question
uantitative 3 Sections, 45 Questions, Total marks 45.00Q 35. A cup of milk containing sugar and pure milk in the ratio 4 : 1 respectively is mixed with another cup of milk of same volume as the earlier and containing 15% of sugar. Determine the ratio of total quantity of sugar to the total quantity of pure milk. Ops: A. 13 : 15 B. 19 : 21 C. 17 : 19 D. 15 : 17
Solution
Let's break down the problem step by step:
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In the first cup, the ratio of sugar to pure milk is 4:1. This means that for every 4 parts of sugar, there is 1 part of pure milk. If we assume the volume of the cup to be 5 units (to make calculations easier), then there are 4 units of sugar and 1 unit of pure milk in the first cup.
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The second cup has the same volume as the first cup, i.e., 5 units. It contains 15% sugar. So, the amount of sugar in the second cup is 15% of 5 units = 0.75 units. The remaining volume is pure milk, which is 5 units - 0.75 units = 4.25 units.
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Now, we need to find the total quantity of sugar and pure milk. The total quantity of sugar is the sum of the sugar in the first cup and the second cup, which is 4 units + 0.75 units = 4.75 units. The total quantity of pure milk is the sum of the milk in the first cup and the second cup, which is 1 unit + 4.25 units = 5.25 units.
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Therefore, the ratio of the total quantity of sugar to the total quantity of pure milk is 4.75 : 5.25.
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To simplify this ratio, we can multiply both sides by 4, which gives us 19 : 21.
So, the answer is B. 19 : 21.
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