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Mixtures with known ratios combined in known amounts: ratio of the result

This type of question, asked 4 times: CDS 1 2017, CDS 2 2022, CDS 2 2023, CDS 2 2025. All 4 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    50
    25 kg of alloy X is mixed with 125 kg of alloy Y. If the amount of lead and tin in the alloy X is in the ratio 1:21 : 2 and the amount of lead and tin in the alloy Y is in the ratio 2:32 : 3, then what is the ratio of lead to tin in the mixture ?

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  2. Question 2

    CDS 2 2022

    17
    Two glasses of equal volume are filled with a mixture of alcohol and water in the ratio 3 : 2 and 4 : 1, respectively. These glasses are emptied into a third glass. What is the ratio of alcohol and water in the third glass ?

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  3. Question 3

    CDS 2 2023

    67
    Three glasses P, Q and R have capacities in the ratio 1 : 2 : 3. All these glasses are completely filled with mixtures of milk and water. The ratio of milk to water in P is 1 : 2, in Q it is 2 : 3 and in R it is 3 : 1. If the content of all three glasses are put into a bigger container, what will be the ratio of milk to water in the container ?

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  4. Question 4

    CDS 2 2025

    55
    XX and YY are two alloys of copper (Cu) and zinc (Zn). Alloy XX is prepared by mixing Cu and Zn in the ratio 5:45 : 4, and alloy YY is prepared by mixing Cu and Zn in the ratio 5:135 : 13 respectively. If equal quantities of alloys XX and YY are melted to form a third alloy ZZ, then what is the ratio of Cu to Zn in ZZ ?

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