Question
A cylindrical tank of 28 cm base radius is partly filled
with water. How many spherical iron balls of 1cm radius are added in it in order to increase the water level by 5cm?Solution
Base radius of a cylindrical tank = 28 cm Change in the rise of water in a cylindrical tank = Volume of a bullet Radius of a iron = 1 cm No. of bullets = (Change in the rise of water in a cylindrical tank )/(Volume of a bullet ) = (π r2h)/((4 )/(3 ) π r3) = (π × 28 × 28 × 5 )/(π (4 )/(3 ) × 13) = (28 × 28 × 5 × 3 )/(4 ) = 2,940 To increase the water level by 5cm we need 2,940 bullets.
A trader blends two types of rice, one costing ₹60 per kg and the other ₹80 per kg, in a 3:5 ratio. He sells the mixture at ₹75 per kg. What is hi...
A shopkeeper earns a profit of 30% by selling an article. What would be the approximate percent change in the profit percent, if he had paid 20% less an...
Two vendors sell an electronic gadget for Rs. 1500, making a profit of 20%. One vendor calculates his profit based on cost price, while the other consid...
A manufacturer produces 500 units of a certain product, with each unit costing him Rs 120 to produce. Out of these, he sells 300 units at a profit of 15...
- Ankit bought a sofa for Rs. (7000 + x). He sold it to Zoya at a profit of 20%. Zoya sold it to Kunal at a profit of 10%, and Kunal sold it to Tanya at a pr...
The ratio between the cost price of gadget E and F is 3:2 respectively. Each of the gadgets was marked 60% above its cost price. If the MRP of gadget E ...
The cost price of a bag of Rice is Rs. 240 more than that of a bag of Sugar. The Rice bag is sold at a loss of 25%, while the Sugar bag is sold at a pro...
A shopkeeper buys 20 articles for Rs 5,000. He sells each article at 25% profit on the cost price. Due to a seasonal sale, he offers a 10% discount on t...
A person bought an article and sold it at a loss of 20%. If he had bought it at 10% loss and sold it for 74 more, he would have gained 30%. Find the pro...
If the average cost price of 15 identical books decreases by Rs. 3 after replacing one book with a new book that costs Rs. 60, what was the original cos...
Relevant for Exams:
