Maths Questions Series #5

If 3 ^(X-Y)=27 and 3 ^(X+Y)=243, then X is equal to:

If 5^a=3125, then the value of 5^(a-3) is:

The cost price of 60 articles is same as the selling price of x articles. If there is a profit of 20%, then what is the value of x?

While selling an article for Rs 18450, a person suffered a loss of 50%. At what price he should have sold the article (in Rs) to earn a profit of 50%?

Three vessels contain alcoholic solutions with the concentrations of alcohol as 0.25, 0.5 and 0.75 respectively. 4 litres from the first, 6 litres from the second and 8 litres from the third are mixed. What is the ratio of alcohol and water in the resultant mixture? 

A milkman buys some milk at 50Rs / ltr. He adds 1 / 5 water in milk and sells the mixture at 50Rs / ltr. Find out profit %? 

A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound at the rate of 20 % per annum, 15 % per annum and 10 % per annum respectively, then what will be the ratio of their amounts after 1 year?