If in a triangle, the circumcenter, incentre, centroid and orthocenter coincide, then the triangle is

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient=double the remainder. If the remainder is 80 then the value of x is

A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is ₹ 170? 

The perimeter of a semi-circle is 25.7 cm. What is its diameter (in cm)? (π = 3.14)

In the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.

The cost price of 27 articles is the same as the selling price of 18 articles. What is the gain percentage?

A can do 2% of a work in 4 days, B can do $$33{1\over 3}\%$$ of the same work in 10 days. They worked together for 9 days. C completed the remaining work in 6 days. B and C together will complete 75% of the same work in :

If the price of a commodity is decreased by 20% and its consumption is increased by 20%, what will be the increase or de- crease in the expenditure on the commodity?