Question
A trader marked an article 50% above its cost price and
sold it after allowing a discount of 30%. If the transaction resulted in a profit of Rs. 26, then find the cost price of the articleSolution
Let the cost price of the article be Rs. ‘x’ Marked price of the article = x × 1.5 = Rs. ‘1.5x’ Selling price of the article = 1.5x × 0.7 = Rs. ‘1.05x’ Profit = 1.05x – x = Rs. ‘0.05x’ ATQ; 0.05x = 26 So, x = 520 Therefore, cost price of the article is Rs. 520.
Find the length of the direct common tangent of two circles with radii 8 cm and 5 cm respectively, if the distance between their centres is 11 cm.
- Calculate the area of a sector of a circle having a radius of 21 cm, if the angle at the center made by the sector is 60°.
- The circumference of a circle is 176 cm while the length of the rectangle is 9 cm more than the radius of the circle. Find the perimeter of the rectangle i...
In a triangle, PT is tangent and PAB is secant which cuts on a circle at points A & B. If PT= 12 cm, PA= 8 cm then find the legth of AB.
In a circle, the length of a chord is 20 cm, and the perpendicular from the center to the chord divides it into two equal parts. If the distance from th...
If a wheel covers a distance of 2200 cm in 7 rotations, then the diameter of the wheel is?
- The diagonals of a rhombus are in the ratio 7:5, and its area is 3,500 cm². A circle is formed taking the smaller diagonal as the diameter. Find the diffe...
The circumference of the circle is 198 cm while the length of the rectangle is 12 cm more than the radius of the circle. Find the perimeter of the recta...
In a circle AB is diameter & C is a point on circumference such that AC = 8 cm & BC = 15 cm then find the area of circle ?
- A circular sector has a radius of 14 cm and an area of 154 cm². What is the angle formed at the center by the arc? (Take π = 22/7)