Question
A 40-litre mixture of milk and water has milk and water
in the ratio 3 : 1. 'x' litres of this mixture are removed and replaced with pure water. After this operation, the ratio of milk to water becomes 3 : 2. Find the value of x.Solution
Initial milk = 3/4 × 40 = 30 L Initial water = 1/4 × 40 = 10 L. When x litres of mixture are removed: Milk removed = (3/4)x Water removed = (1/4)x. After removal: Milk = 30 − 3x/4 Water = 10 − x/4. Then x litres of pure water are added: Final milk = 30 − 3x/4 Final water = 10 − x/4 + x = 10 + 3x/4. Given final ratio milk : water = 3 : 2 (30 − 3x/4) / (10 + 3x/4) = 3/2 Cross-multiply: 2(30 − 3x/4) = 3(10 + 3x/4) 60 − 3x/2 = 30 + 9x/4 Multiply both sides by 4: 240 − 6x = 120 + 9x 120 = 15x x = 8. Answer: x = 8 litres.
What is the respective ratio between the total number of tourists from Russia and South India together going to Meghalaya and the total number of touris...
If each school has a total of 1,200 students, calculate the exact number of boys and girls in School Q. Then determine what percentage of the total numb...
What is the ratio of the number of order placed who were not delivered by Myntra and Flipkart together to that who were ordered by Amazon and Snap deal...
In Dec, 2016, number of male children is what percent of the number of male adults who visited the park?
In which of the following months, number of adult male visitors is more than 15% of the total visitors visited the park in that particular month?
The company plans to introduce a new Product D with a cost price of ₹400 and a selling price of ₹600. If 200 units of Product D are produced and sol...
The given table represents the number of computers sold by four dealers A, B, C and D during the first six months of 2016. Study the table carefully an...
Out of the total number of tourists from Canada 60% were unable to go to the destination. If the respective ratio between the number of tourists going ...
The number of order who were not delivered by Jabong is approximately what percent less than that order who were not delivered by Amazon?
If the company decides to offer a 10% discount on the selling price of Product A for a special promotion, calculate the new selling price for Product A....
