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   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$

In an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°. the area of the triangle is

ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If <BEC = 128° and <ECD = 25°, then what is the measure of <BAC?

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x²– 35x + 294 = 0

II. y²– 68y + 1140 = 0

Answer the following questions

Lokesh sold two items at same price. One of them was sold at a profit of 10% and the other at the loss of 10%. What is the net result of entire transaction?

If α, β are the roots of 6x²+13x+7=0, then the equation whose roots are α², β² is:

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?