Question
Roshan purchased 100 rolls of paper for Rs. 20 per roll.
He spent Rs. 400 on their transportation. He also paid 20 paise per roll for packing of each roll. At what price must he sell each roll to gain 25% overall?Solution
Effective cost price of 100 rolls of paper = (100 × 20) + 400 + (100 × 0.2) = 2000 + 400 + 20 = Rs. 2420 Selling price at 25% profit = 1.25 × 2420 = Rs. 3025 Therefore, selling price of each roll of paper = 3025/100 = Rs. 30.25
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
If the ratio of the area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles?
What is the height of an equilateral triangle if each side measures 8√3 cm?
If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?
I. XY = AB
II. ∠X = ∠A
- In triangle XYZ, UV is drawn parallel to side YZ. If XU = 10 cm, UX = 6 cm, and XV = 15 cm, find XZ.
Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8√6 cm each.
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
- The base of a triangle is 14.8 cm, and the corresponding altitude is 20.2 cm. What is its area?
The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
- In triangle MNO, PQ is drawn parallel to side NO. If MP = 5 cm, PN = 10 cm and MQ = 6 cm, find MO.