Question
The ratio of the cost price and marked price of an
article is 6:11, respectively. The article is sold after giving a discount of Rs. 450 such that there is a profit of 50%. Find the amount by which the article is marked up above its cost price. ÂSolution
Let the cost price and marked price of the article be Rs. 6x and Rs. 11x, respectively Therefore, selling price of the article = 1.50 × 6x = Rs. 9x According to the question, 11x – 9x = 450 Or, x = 450/2 = 225 Therefore, amount by which article is marked up above its cost price = 11x – 6x = 5x = Rs. 1125
In triangle ABC, the sides are 5 cm, 12 cm, and 13 cm. Find:
(a) the area of the triangle,
(b) the inradius (radius of inscribed circle),<...
In the Figure given below, find the value of x?

If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
What is the height of an equilateral triangle if each of its sides is 4√3 cm?
- In triangle GHI, JK is drawn parallel to side HI. If GJ = 7 cm, JH = 2 cm, and GK = 14 cm, find GI.
The smallest side of a right-angled triangle is 7 cm less than the side of a square of perimeter 76 cm. The second largest side of the right-angled tria...
In triangle ABC, the difference between angle A and angle B is 16°, and the difference between angle A and angle C is 8°. Determine the measure of an...
- Find the altitude of an equilateral triangle whose side is 8√3 cm.
An equilateral triangle has all sides of length 14√3 cm. What is the altitude of this triangle?
In a triangle ABC, the incenter is at O. Find angle BAC if angle BOC=120°.