Question
A vessel contains mixture of honey and water mixed in
the ratio 5:3, respectively. 144 litres mixture is taken out of the vessel and is replaced with 58 litres of water, such that the percentage of honey in the resultant mixture becomes 48%. Determine the initial quantity of water in the vessel.Solution
ATQ, Let the initial quantities of honey and water in the vessel be 5x litres and 3x litres, respectively. 144 litres mixture contains 90 litres honey and 54 litres water. According to question: 0.48 × (8x – 144 + 58) = 5x – 90 3.84x – 41.28 = 5x – 90 1.16x = 48.72 x = 42 So, the initial quantity of water in the vessel = 3 × 42 = 126 litres
When a number is divided by 17 remainder is 11. Find the remainder when five times of the same number is divided by 17.
The cost of 3 notebooks and 2 erasers is Rs.47, and the cost of 5 notebooks and 4 erasers is Rs.83. What is the total price (in Rs) of 2 notebooks and 3...
What is the greatest four-digit number that leaves remainders 1, 2 and 3 respectively when divided by 2, 3 and 4?
- Determine the value of 'n' if '87n9812' is always divisible by 9.
How many unique five-digit numbers can be created using the digits 0, 1, 5, 6, 7, and 8, without repeating any digit?
If z = 3 – 4i, find |z²|.
When N is divided by 5 the remainder is 2. What is the remainder, when n³ is divided by 5?
Find the unit digit of the expression: 1! + 4! + 6! + 9! + 25!.
A number is increased by 20% then reduced by 20%. If final value is 144, find original number.
If 'N' is the greatest four digit number which when divided by 27, 6, 8 and 9 Leaves in each case the same remainder of 5, then the sum of the digits of...
