Mix two mixtures with known ratios in a given proportion: ratio or percent of a component in the result

This type of question, asked 2 times: 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. All 3 questions below, oldest first.

Try each one first, then open its answer.

Question 1
29 Jan 2022 Tier II
52 $One cup has juice and water in the ratio 5 : 2, while another cup of the same capacity has them in the ratio 7 : 4, respectively. If contents of both the cups (when full) are poured in a vessel, then what will be the final ratio of water to juice in the vessel?$
Tap an option to check your answer.
Question 2
29 Jan 2022 Tier II
76 $Alloy A contains metals x and y only in the ratio 5 : 2, while alloy B contains them in the ratio 3 : 4. Alloy C is prepared by mixing alloys A and B in the ratio 4 : 5. The percentage of x in alloy C is:$
Tap an option to check your answer.
Question 3
3 Feb 2022 Tier II
98 $Mixture A contains chocolate and milk in the ratio 4 : 3 and mixture B contains chocolate and milk in the ratio 5 : 2. A and B are taken in the ratio 5 : 6 and mixed to form a new mixture. The percentage of chocolate in the new mixture is closest to:$
Tap an option to check your answer.

Question 1