LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
34 views
in Aptitude by (41.9k points)
closed by
In a 80 litres mixture, the ratio of alcohol and water is 3 ∶ 5. If 8 litres of mixture is replaced by 8 litres of water, then find the new ratio of alcohol and water in mixture.
1. 27 ∶ 53
2. 27 ∶ 54
3. 25 ∶ 49
4. 23 ∶ 49
5.

1 Answer

0 votes
by (42.6k points)
selected by
 
Best answer
Correct Answer - Option 1 : 27 ∶ 53

Given:

The total quantity of mixture = 80 liters

The ratio of alcohol and water = 3 ∶ 5

Calculation:

Let the quantity of alcohol and water be 3x and 5x respectively

According to the question,

If 8 liters of mixture is replaced by 8 liters of water, then

Quantity of water = 5x + 8

Quantity of alcohol = 3x

5x + 8 + 3x = 80 

⇒ 8x + 8 = 80

⇒ 8x = 80 - 8

⇒ 8x = 72

⇒ x = 9

Now, the new ratio of alcohol and water = (3x) ∶ (5x + 8)

⇒ (3 × 9) ∶ (5 × 9 + 8)

⇒ 27 ∶ 53

∴ The new ratio of alcohol and water is 27 ∶ 53.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...