Question
A shopkeeper sold a jacket for Rs. 3500 at a loss of
30%. At what price should he have sold the jacket, to earn a profit of 25%?Solution
Let CP = Rs. x => SP = (100-30)% × x => 3500 = (70/100) × x => x = 5000 CP = Rs. 5000 Profit = 5000 × (25/100) = Rs.1250 SP = CP + Profit SP = 5000 + 1250 = Rs.6250
In triangle GHI, a point J lies on side HI such that ∠GJH = ∠GJI. If GH = 50 cm, GI = 30 cm, and HI = 40 cm, find the length of HJ.

Find area of a sector of radius 14 cm with central angle 90°. (π = 22/7)
If O is the orthocentre of ΔABC , if ∠BOC = 1000 then what is the measure of ∠BAC?
Angles of a triangle are in the ratio 2 : 3 : 7. Find the difference between the largest and smallest angle of the triangle.
Angles of a triangle are in the ratio 3 : 5 : 10. Find the sum of the smallest and middle angle of the triangle.
Determine the difference between an angle and its complementary angle, given that the angle is two-thirds of its complement.
Angles of a triangle are in the ratio 1 : 2 : 3. Find the measure of the largest angle.
Let A, B, and C be the mid-points of sides PQ, and QR PR, respectively, of ΔPQR. If the area of ΔPQR is 64cm², then find the area of ΔABC.
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