Question
The area of the circumcircle of an equilateral triangle
is 3π cm². The perimeter of the triangle is:Solution
Let side of an equilateral triangle = a cm ∴  circumcircle radius = a/√3 cm ∴  area of circumcircle = π(a/ √3)2 => πa2/3 = 3π ⇒  a2 = 9 ⇒  ∴ a  = 3 cm ∴  Perimeter = 3 × a = 9 cm
An article is sold at 15 (1/2) % profit. If its C.P. is increased by Rs. 40 and at the same time if its SP is also increased by Rs. 30, then % of profit...
A bottle of shampoo is sold at 18% profit and a bottle of conditioner at 12% profit. If profit on selling 4 bottles of shampoo and 5 of conditioner is R...
The interest earned on investing Rs. 2200 for 2 years at the rate of 20% p.a., compounded annually, is used to purchase an article. If the article is la...
The shopkeeper sold the earrings at the profit of 15% and the cost price of earrings is Rs.4200. He earns x% profit on bracelet costing Rs.3500. If the ...
A trader buys 75 shirts and recovers the cost price after selling 50 of them. He sells the remaining 25 shirts at a profit of 40% and earns Rs. 600 as p...
- A retailer sells a piece of furniture for Rs. 7,500 and gains 40% profit. If he reduces his profit to 25%, what will be the new selling price?
The selling price of a washing machine is Rs. 1680. If the washing machine was sold at 40% profit, then find the discount offered given that the washing...
The marked price of an article is Rs 900. A shopkeeper allows a discount of 15% on the marked price. Find
(i) the discount amount,
(ii) th...
A trader marked an article 16% above its cost price and sold it after allowing a discount of 10%. If the transaction resulted in a profit of Rs. 11, the...
A vendor sells two varieties of items, I and J. On item I, which costs Rs. 2200, he makes a 12% profit. If the aggregate profit from selling both items ...
Relevant for Exams:
