CTS Company Numerical Ability Alligation or Mixture

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water?

Read Solution (Total 1)

7x+6x/5y+11y=1/2
26x=16y
x/y=16/26
i.e 8/13
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CTS Other Question

A man bought at the cost of 5 plums a rupee and 2 oranges a rupee. He sells 10 plums and 6 oranges at the selling price of 4 plums a rupee and 3 oranges a rupee. What is his gain or loss? Swetha, Tina, Uma and Vidya are playing a gambling. In this different people lose in different games-in the reverse alphabetical order. The rule is that if one loses she should double the amount of others. At the end of 4th game each of them have same amount of money (Rs.32).
Which one of them started with the least amount?
(a) Which one of them started with the largest amount of money?
(b) At the end of the 2nd game what is the amount of money with uma?