Question
A mixture contains milk and water in the ratio 7:5. If 6
liters of water is added to the mixture, the ratio of milk to water becomes 7:6. Find the original quantity of water in the mixture.Solution
Let the quantity of milk and water initially be 7x and 5x, respectively. After adding 6 liters of water, the ratio becomes 7:6, so 7x / (5x + 6) = 7/6. Cross-multiplying: 6 × 7x = 7 × (5x + 6) 42x = 35x + 42 7x = 42 x = 6 Original quantity of water = 5x = 5 × 6 = 30 liters. Answer: c) 30 liters
There are nine consecutive even numbers such that the smallest number is 12.5% less than the largest number. Find the sum of the second lowest and secon...
A student mistakenly multiplied a number by 5.6 instead of 0.56. His answer exceeded the correct one by 2800. What was the original number? (Calculate appr...
If 'p' is subtracted from 18, 24, 16, and 12, the resulting numbers will be in proportion. Find the value of 'p'.
- A number when divided by 45 leaves 38 as remainder. If the same number is divided by 15, the remainder would be:
In a group of three numbers first is double of second and half of third. The average of three numbers is 42. Find the difference between the first numb...
There are balls of three colours i.e. red, yellow and black. The number of black balls is 6 more than the average number of balls of each colour. The nu...
In a school a total of 4,900 pencils were distributed among all the students in the school. The pencils were distributed in such a way that number of pe...
Five numbers are arranged in decreasing order. The average of the first four numbers is 60, and the average of the last four numbers is 55. What is the ...
Each member of a picnic party contributed twice to their serial number. The total collection was Rs 3042. The (approximate) number of members present in...
