Question
A 1000-litre chemical solution consists of two substances,
X and Y, in a 3:2 ratio. If 10% of the solution is removed and replaced with an equal amount of Y, what is the new ratio of X to Y in the final mixture?Solution
ATQ;
Quantity of X in the solution = (3/5) Ă— 1000 = 600 litres
Quantity of Y in the solution = (1000 – 600) = 400 litres
Quantity of solution taken out = (0.1 Ă— 1000) = 100 litres
New ratio = {600 – (600 × 0.1)} : {400 – (400 × 0.1) + 100}
= 540 : 460
= 27:23
In a company-wide survey, it was discovered that 20% of the employees own a car. Among the remaining employees, 30% have either an Activa or a bike. The...
The total number of students in a college is 13,200. If the number of male students increases by 30% and the number of female students increases by 20% ...
Monthly income of A is Rs. 45000 out of which he spent 30%, 22% and 24% of his total income in rent, medicine and transportation, respectively. Find his...
The total strength of school A is 40% more than that of school B. In school A and B, out of total number of students, 25% and 30% respectively are girls...
Seven years ago, the ratio of the ages of A and B was 4: 5. Eight years hence, the ratio of the ages of A and B will be 9:10. What is the sum of their p...
A girl found the answer for the question “subtract the sum 1/2  and 1/8  from unity and express the answer in decimals” as 1.5. The percentage of ...
In an election between two candidates, winner got 65% of total valid votes. If total number of votes cast were 2000 out of which 6% were invalid, then f...
Out of 650 students in school, 20% students like samosa only and 30% students like samosa and momos both. If 40% students don’t like any snacks then f...
In an exam, Sunil scored 45% marks and failed by 18 marks while Rina scored 90% marks and scored 72 marks more than the passing marks. Find out the pass...
The population of a village two years ago was 'X'. Over the next two years, the population increased by 30% in the first year and...
