Question
The inner-radius of a triangle is 5 cm, and the sum of
lengths of its sides is 60 cm. What is the area of the triangle (in sq. cm.)?Solution
Semi perimeter S = 60/2 = 30 cm Inner radius = Area of triangle/S β 5 = A/30 β Area = 150 sq. cm.
120 litres of a solution contains 48 litres of water. How much of this solution should be removed so that the quantity of milk becomes 42 litres?
A vessel contains 160 litres of milk and water in the ratio of 5:3. If 10 litres of milk is added to the mixture, then find the ratio of milk to water i...
In a mixture, milk and water are in the ratio 2:3. When 10 litres of milk and 6 litres of water are added, the ratio becomes 4:5. Find the initial quant...
Jar A contains ‘X’ ml mixture of milk and water in the ratio of 4 :3. Jar B contains ‘X’ ml mixture of milk and water in the rat...
In a mixture of milk and water, the amount of milk is 37 ml greater than the amount of water. After 75% of the mixture is removed and 10.75 ml of milk i...
- Metal mixture βCβ consists of mercury and platinum in the ratio 2:3. Another alloy βDβ includes platinum and titanium in the ratio 1:4. If 25 grams...
A 456 ml mixture consists of milk and water in a 12:7 ratio. If 'x + 22' ml of milk and 'x - 18' ml of water are added, the new ratio of milk to water b...
A container contains Alcohol and water in ratio of 5:3 and Capacity of Container is 80 lit. If half of the Container is replaced with 30 lit of water th...
A vessel contains 360 litres of milk and water in the ratio of 7:5. If 15 litres of milk is added to the mixture, then find the ratio of milk to water i...
- A 240-litre solution contains milk and water in the ratio 3:5 respectively. How much milk should be added to make the ratio of milk to water 7:10?