Question
In an exam, Sunil scored 46% marks and failed by 65
marks whereas Anil scored 66% marks in the same exam and scored 45 marks more than the passing marks. Find the maximum marks of the exam.Solution
ATQ; Let the maximum marks of the exam be ‘100x’ Marks scored by Sunil = 100x × 0.46 = ‘46x’ Marks scored by Anil = 100x × 0.66 = ‘66x’ According to question: 46x + 65 = 66x – 45 Or, 66x – 46x = 65 + 45 Or, 20x = 110 Or, x = 5.5 Therefore, maximum marks of the exam = 100x = 100 × 5.5 = 550
- The ratio of milk and water in a mixture is 4:3 respectively. When 8 litres of milk and 10 litres of water are added to the mixture, the ratio becomes 6:5 ...
In a mixture consisting of 400 ml of wine and lemon, the volume of wine exceeds that of the lemon by (200/3)%. Following the removal and replacement of ...
- A 840 ml mixture contains milk and water in the ratio 7:5. If ‘x’ ml each of milk and water is poured into it, the new ratio of milk to water becomes 6...
An alloy of copper and tin contains 65% of copper. If 12 kg of more tin is added to the alloy, the copper content gets reduced to 50%. Find the quantity...
364 ml of mixture ‘A’ contains milk and water in the ratio 2:5 respectively. If the quantity of milk in mixture ‘B’ is 37.5% more than that in m...
600 ml of mixture contains milk and water in the ratio of 3:2. If `x` ml of milk and `(x - 40)` ml of water are added, then the ratio becomes 7:5. Find ...
A mixture contains ‘x’% milk. 30% of this mixture is taken out and is replaced with same quantity of water. This procedure is repeated two more time...
200 litres of mixture X contains acetone and glycerine in the ratio 7:9, respectively. 80 litres of the mixture is withdrawn and labelled as mixture Y a...
A merchant has 20 liters of alcohol. To achieve a 75% profit by selling the mixture at the original cost price of the alcohol, how much water should he ...
7 liters of milk and 3 litres of water is mixed in an empty bucket 'P. In other empty bucket 'Q' six liters of milk is mixed in 1 liter of water 3 liter...
Relevant for Exams:
