Question
A machine is sold at an 8%
profit, making its selling price Rs. 63 higher than the selling price if it were sold at a 20% loss. What would the selling price be if the machine is sold at a profit of 12%?Solution
ATQ,
Let the cost price of the machine = Rs. 100y Then, according to the question, 100y × 1.08 – 100y × 0.8 = 63 Or, 108y – 80y = 63 Or, 28y = 63 So, y = (63/28) = 2.25 So, cost price of the machine = 2.25 × 100 = Rs. 225 Required selling price of the machine = 225 × 1.12 = Rs. 252
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°.
Relevant for Exams:
