If x + y + 3 = 0 , then find the value of x³+y³-9xy+9.

A sold a mobile phone to B at a gain of 25% and B sold it to C at a loss of 10%. If C paid ₹5,625 for it, how much did A pay (in ₹) for the phone?

If 4sin²θ=3(1+cosθ),0⁰<θ<90⁰, then what is the value of (2tanθ+4sinθ-secθ)?

A pole 23 m long reaches a window which is 3 m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 is m high. What is the width (in m) of the street? 

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

The width of the path around a square field is 4.5 m and its area is 105.75 m². Find the cost of fencing the path at the rate of ₹100 per metre.

In the first 10 overs of a cricket game, the run rate was only 7.2. What should be the average run rate in the remaining 40 overs to reach the target of 272 runs? 

The profit earned by selling an article for ₹832 is equal to the loss incurred when the article is sold for ₹448. What will be the selling price of the article if it is sold at a ₹10%, loss?