Question
The circumference of a circle is equal to the perimeter
of a rectangle whose length and breadth are in ratio 11:10, respectively. If the area of the rectangle is 24750 cm 2 , then find the radius of the circle.Solution
Let the length and breadth of the rectangle be 10x cm and 10x cm, respectively According to the question, 11x × 10x = 24750 => x2 = 24750/110 = 225 => x = 15 Therefore, perimeter of the rectangle = 2 × (11x + 10x) = 630cm Let the radius of the circle be ‘r’ cm. According to the question, 2πr = 630 Or r = 630× (7/44) = 100.22cm
Marked price of an item is ₹2500. Successive discounts of 12% and 8% are given. Find the selling price.
An article is marked x% (40 < x > 0) above its cost price. It is sold by giving x/2% discount on its marked price. If there is a profit of 10(1/2) %, th...
Successive discounts of 20, 25 and 30% is equivalent to a single discount ofÂ
The marked price of an article is Rs 400. A shopkeeper allows a discount of 10% and then an additional discount of 5% on the reduced price. Find
(...A shopkeeper marks his goods at such a price that after allowing a discount of 20% on the mark price he can earn a profit of 25%. If the article cost h...
Sita gets a discount of 20% on a Rs.3,000 juicer mixer machine. Since she pays cash, she gets an additional 5% discount too. How much does she pay?
Sanjay ate in a restaurant and got a membership discount of 40% on the original bill amount but he has to pay 12% as service tax and 6% service charge o...
Riya could not decide between discount of 30% or two successive discounts of 25% and 5%, both given on shopping of ₹3,840. What is the difference bet...
What is the single discount equivalent to the successive discounts of 15%, 25%, and 5%?
A chair is sold for Rs810 after giving a discount of 10% on its marked price. The cost price of the chair is Rs720. If it is sold at the marked price, t...
