Question
A vessel contains milk and water in the ratio 5:1. If 24
litres of mixture is taken out and then 10 litres of water is added, the new ratio becomes 5:6. Find the initial quantity of the mixture.Solution
ATQ, Let initial milk = 5x litres and initial water = x litres So, initial quantity of mixture = 6x litres Milk in 24 litres taken out = 24 × 5/6 = 20 litres Water in 24 litres taken out = 24 × 1/6 = 4 litres Remaining milk = 5x − 20 Remaining water = x − 4 After adding 10 litres water, water becomes = x − 4 + 10 = x + 6 According to the question, (5x − 20)/(x + 6) = 5/6 6(5x − 20) = 5(x + 6) 30x − 120 = 5x + 30 25x = 150 x = 6 Initial quantity of mixture = 6x = 6 × 6 = 36 litres
Sum of digits of a two-digit number is 9. When 27 is subtracted from the number, its digits get reversed. Find the original number.
When the digits of a two-digit number are interchanged, the new number becomes 5 less than 150% of the original number. If the sum of the digits is 10, ...
If the first term is 125 and the common ratio is 3/5, then what will be the fourth term of the geometric progression (G.P)?
A number when divided by 25 leaves a remainder of 19. What will be the remainder when five times that number is divided by 25?
The smallest 3-digit prime number is added to the LCM of first three odd prime numbers to obtain a number ‘Y’. Find the unit digit of ‘Y’.
...Sum of squares of three consecutive numbers is 677. Find the sum of first and third number.
- The expression 12x - x² - 20 is positive between which values of x?
Arvind's age after 19 years will be 67 years. Ravi is 4 years older than Arvind. The ratio of present ages of Samar and Ravi is 9:13. Find the age of Sa...
- The smallest positive number 'P' which when divided by 21, 28, and 42 leaves 4 as the remainder in each case. Find the value of ('5P' - 10).
If the difference of two numbers is 4 and the difference of their squares is 56, then the larger number is
Relevant for Exams:
