Question
A cone is cut parallel to its base in 3 parts in such a
way that the height of each part is same. Find the ratio of volume of these parts?Solution
Volume of cone ABC = 1/3 π(r1)2 h ............(1) Volume of Frustrum BCED = 1/3 π(2r1)2 2h - 1/3 π(r1)2h = 7/3 π(r1)2 h ............(2) Volume of Frustrum DEGF = 1/3 π(3r1)2 3h - 1/3 π(2r1)2 2h = 19/3 π(r1)2 h ............(3) Now, ratio = 1/3 π(r1)2 h: 7/3 π(r1)2 h: 19/3 π(r1)2 h = 1:7:19 
A shopkeeper sold an article for Rs. 300 after offering a discount of 80%. If he earned a profit of 50%, then find the ratio of cost price to the marked...
A shopkeeper bought 80 identical books priced at Rs. 320 each. He spent a total of Rs. 3600 on transportation and packaging. He put the label of...
A trader purchased 100 identical items for a total of ₹20,000. He sold 40% of the items at a profit of 25% and the remaining items at a loss of 15%. D...
A shopkeeper bought two articles for Rs. 200 each. If he sold one of them at 40% profit and the other at 25% loss, then find the difference between the ...
The profit gained from selling an item for Rs. 920 is equal to the loss faced when it is sold for Rs. 780. What would be the selling price of the item i...
A shop owner buys six items and pays additional charges for delivery. He then sells each by marking up the price by 45% and applying a discount of 20%, ...
An article is sold for Rs. 480 at 20% loss. If this article was sold at 12.5% profit, what would have been its selling price?
Mira bought a painting for Rs. '5x'. She spent Rs. 'x + 800' on restoration and sold it to Neil for Rs. '9x - 400'. Calculate 'x' if Mira made a profit ...
A man bought two properties. The cost of the first property is 60% of the cost of the second property. He sold the first property at a profit of 25% and...
- A vendor got some mangoes at Rs. 200 per dozen and sold them at Rs. 22 per piece. He sold 7 dozen mangoes in all. Determine the total profit he made.
