Question
Find the surface area of the smallest cube that can
perfectly fit a sphere of volume 7776Ï€ cm3 inside it. ÂSolution
Let the radius of the sphere be 'R' cm. 7776π = (4/3) x π x R3 Or, 5832 = R3 So, R = 18 So, length of edge of the cube = 18 x 2 = 36 cm Required area = 6 x 362 = 7776 cm2
A perfume bottle is sold for a profit of ₹175 after a 25% discount is applied. If the cost price and marked price of the bottle are in the ratio of 1:...
The sum of the income of Raj and Roni is Rs. 168000. A spends 50% of his income and B spends 75% of his income in such a way that B’s saving is Rs. 90...
A shopkeeper marks an article at Rs 600. He offers a discount of 10% on the marked price and still makes a profit of 20% on the cost price. Find the cos...
A merchant sold a bicycle at a loss of 10%. If he had increased the selling price by Rs. 5250, he would have made a profit of 20%. Calculate the marked ...
A shopkeeper obtained an accessory for Rs. ‘a’ and marked it 170% above its cost price, then sold it after offering two successive discounts of 1000...
Joy bought a painting for Rs. 6000 and sold it for Rs. 7500. Find the profit %.
- A shopkeeper marked an item at Rs. 1000. The discount given on it is equal to 40% of the difference between marked price and cost price. If he made a profi...
A seller marked an item above its cost price and allows a discount of 25% on it. On the discounted price, the seller charges a packaging price which is ...
The price per kg of sugar of grade 'P' and 'Q' is Rs. 90 and Rs. 150 respectively. These are combined to create a blend that is sold for Rs. 180 per kg ...
- An item was sold at Rs. 5000 making a 10% gain. If it had been sold at Rs. 4200, determine the approximate profit or loss percentage.
Relevant for Exams:
