Question
Three mixtures, containing mixture of sugar to water in
the ratio of 6:3, 8:4 and 10:5 are mixed in equal proportion and a new mixture is formed. If the volume of mixture thus formed is 324 litres, then find the quantity of sugar in the resulting mixture.Solution
Let the volume of each mixture taken out be 36 litres
Ratio of sugar to water in the resulting mixture =
(6/9 × 36 + 8/12 × 36 + 10/15 × 36):(3/9 × 36 + 4/12 × 36 + 5/15 × 36) = (24 + 24 + 24):(12 + 12 + 12) = 72:36 = 2:1
Desired volume of sugar = 2/3 × 324 = 216 litres
In a warehouse, there are 200 washing machines and 300 microwaves. The average price of a washing machine is Rs. 15,000 while the average price of a mic...
There are ‘x’ students in a class. Out of them ‘y’ are girls. The number of boys is 4 more than the number of girls. The sum of weight and the a...
The average of five consecutive odd numbers is 61. What is the average of the first three numbers among them?
The annual production of an article fluctuates. It consistently rises by 25% for two consecutive years, followed by a 20% decline in the third year. In ...
- The average salary of M, N, and O is Rs. 20000 and the average salary of P and Q is Rs. 14000. If the savings of M is 65% of the average salary of all five...
3 years ago, the average age of a family of 5 members was 17 years. A baby being born, the average age of the family is 17 years. The present age of the...
A student got an average score of certain marks in the first 16 tests. In the next 4 tests, she scored 76 marks on average. This raised her overall aver...
A toy seller has white, pink, and blue balls in the ratio 3:7:11. The number of pink balls is more than the number of white balls by a number which is a...
- Average score of 60 contestants is 185. Two late entries with scores (k + 18) and (k - 12) join, and the average becomes 186. Find (k - 95).
What is the average of the squares of the first 47 natural numbers?
Relevant for Exams:
