Question
A seller initially marked the price of an article 25%
higher than its cost price. However, to finalize the sale, a 30% discount was offered on this marked price. If this transaction resulted in a loss of Rs. 350 for the seller, what was the original cost price of the article?Solution
Let cost price of article be Rs. 100x. Selling price of the article = 100x × 1.25 × 0.70 = 87.5x Or, 100x – 87.5x = 350 Or, 12.5x = 350 Or, x = 28 So, cost price of the article = Rs. 2800
Find the hypotenuse of an isosceles right-angled triangle where each of the equal sides is 7√5 cm.
- Find the radius of the incircle of an equilateral triangle whose height is given to be 3√3 cm.
An equilateral triangle has all sides of length 14√3 cm. What is the altitude of this triangle?
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
- The sides of two similar triangles are in the ratio 5:7. The areas of these triangles are in the ratio:
- Find the approximate area of a triangle with a base of 17.9 cm and a corresponding height of 15.3 cm.
Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.
If the side of an equilateral triangle is 12cm, then find the area (in cm 2 ) of the triangle (correct to two decimal places).
- In triangle XYZ, lines XP and PF are medians of triangle XYZ and triangle XZF respectively. If the area of triangle XPF is 15 cm², calculate the area of t...
Given a right-angled triangle with the perpendicular measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the tr...