Question
Average age of a class of 35 students is 15 years.
Average age of the class is increased by 18 months if the age of the teacher is included. Find the age of the teacher.Solution
Sum of the ages of all the students in the class = 35 × 15 = 525 years Sum of the ages of the students along with teacher = 36 × 16.5 = 594 years So the age of the teacher = 594 – 525 = 69 years
- A milk seller has a 80-litre mixture of milk and water, where water makes up 25% of the total volume. He wants to adjust the mixture so that the amounts of...
A container holds 80 litres of a solution which has milk and water in the ratio 3:2. 40 litres of this solution is taken out, and then 10 litres of wate...
A shopkeeper buys 40 kg of sugar at ₹30 per kg and 60 kg of sugar at ₹35 per kg. He mixes them and sells the entire quantity at ₹40 per kg. If his...
A mixture measuring 720 ml consists of milk and water in an 8:7 ratio. How much water should be added to ensure that the water content is 12.5% greater ...
One alloy of steel contains 74% Iron and 26% carbon. Another alloy contains 81% Iron and 12% carbon. Later, they are mixed, so that the mixture contains...
A container has only two types (P and Q) of oil in the ratio 3:2 respectively. When 90 litre of oil Q is added to the container the quantity of oil P be...
A container contains Alcohol and water in ratio of 5:6 and Capacity of Container is 121 lit. If half of the Container is replaced with 15 lit of water t...
The ratio of Petrol and Diesel in the container is 3:2 when 20 litres of the mixture is taken out and is replaced by the diesel. The ratio becomes 2:3. ...
A fuel blend composed of diesel and petrol is mixed in a ratio of 5:3, respectively. If one-fourth of this blend is removed and replaced with 24 liters ...
- Metal mixture ‘P’ consists of iron and nickel in a 4:3 ratio, and metal mixture ‘Q’ contains only nickel and chromium in a 1:2 ratio. If 35 grams o...
Relevant for Exams:
