Two vessels A and B contains acid and water in the ratio 4:3 and 5:3 respectively Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3:2 is 

The price of petrol is increased by 25%. By how much percent a car owner should reduce his consumption of petrol so that the expenditure on petrol would not be increased?

The value of   $${sin23^0cos67^0+sec52^0sin38^0+cos23^0sin67^0+cosec52^0cos38^0}\over cosec^220^0-tan^270^0$$ is

A trader allows a trade discount of 20% and a cash discount of $$6{1\over4}\%$$ on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale? 

If $$ A = {1\over 2}+{1\over 3}×{1\over 4}÷{1\over 5}-{1\over 6}$$ and $$B={1\over 2}÷{1\over 3}×{1\over 4}+{1\over 5} $$ , then what is the value of A - B?

Directions : Study the following pie chart carefully and answer the questions. The pie chart represents the percentage of people involved in various occupations.
Total number of people = 20000

The difference between the maximum number of people involved and minimum number of people involved in various professions is 

The HCF of x⁸ – 1 and x⁴ + 2x³ – 2x – 1 is :

Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.