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Ramesh sells an article for Rs 34,440, after allowing an 18% discount on the marked price and still manages to gain 40% profit. If Ramesh sold the article at a12% discount on the marked price, then what will be his profit

A tangent is drawn from a point that is at a distance of 37 cm from center of the circle O, and diameter is24 cm. The length (in cm)of the tangent is:
By selling 60 pens, a man gains an amount equal to the selling price of 12 pens. What is his gain percentage?

The lines x+y = 10 and - 3x + y = 2 have a unique solution. What is the
distance (in units) between the unique solution and the point of intersection of x + y = 10 and the x-axis

The given bar graph shows the percentage of production of three companies C1, C2 and C3 over five year. If the ratio of the total production in the year 2019 and 2022 is 3:5 and the total production in C1 in 2022 is 4125, then the total production of C3 in the year2019is:

Find the equation of the sphere having centre (-1,2,-3) and the radius of 3
units.

A tangent is drawn from a point at a distance of 25cm from the Centre of a
circle C(0,r) of radius 7cm. The length of the tangent is cm.

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. The number in the brackets gives the maximum marks in each subject. What is the median raw score of the marks obtained by the seven students in Chemistry?

The area of three adjacent faces of a cuboidal box is 120 cm²
, 72 cm² and 60 cm² , respectively. Find the volume (in cm³) of the box.

If the radius of the base and slant height of the cone is 6 cm and 10 cm,
respectively, then the volume of the cone is equal to:

In an election there were only two candidates. One of the candidates secured 35% of votes and is defeated by the other candidate by 381 votes. The total number of votes polled is:

In a right angle triangle with sides 12 cm and 16 cm and hypotenuse 20 cm,
the length of altitude drawn on the hypotenuse from the opposite vertex is K. Find the value of K.

The sides ST and TR and the median SU of the triangle STR are equal to the
sides MN and NJ and the median MV of the triangle MNJ, respectively. If ∠TSU = 46° , ∠NMJ = 79°and ∠MVN = 88° , what is the degree measure of 7/11 ∠SRT?