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Thd students of 2 classes are in thr ratio 5:7 if10 students left from each class ,the remain students arr in the ratio of 4:6, then the no. O f students in the class is: 1)30:40 2)25,24 3)40:60 4)50:70 Plz reply that we have to sub. 10 from the no of students in the original ratio or not.?
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Thd students of 2 classes are in thr ratio 5:7 if10 students left from...
Understanding the Problem
To solve the problem, we need to analyze the students' distribution between two classes based on the given ratios.
Initial Ratio of Students
- The initial ratio of students in the two classes is 5:7.
- Let's denote the number of students in the first class as 5x and in the second class as 7x.
Impact of Students Leaving
- When 10 students leave from each class, the new number of students becomes:
- First class: 5x - 10
- Second class: 7x - 10
New Ratio of Remaining Students
- The problem states that the remaining students are in the ratio 4:6 (which simplifies to 2:3).
- Thus, we can set up the equation:
(5x - 10) / (7x - 10) = 2 / 3
Cross Multiplying to Solve
- Cross-multiplying gives us:
3(5x - 10) = 2(7x - 10)
- Expanding both sides leads to:
15x - 30 = 14x - 20
- Rearranging this gives us:
x = 10
Finding the Number of Students
- Now substituting x back:
- First class: 5x = 5(10) = 50
- Second class: 7x = 7(10) = 70
Conclusion
- The total number of students in the classes is 50:70, which corresponds to option 4) 50:70.
In summary, when solving the problem, we did indeed subtract 10 from each class's student count after establishing the initial ratio. This is essential for correctly determining the new ratio of remaining students.
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Thd students of 2 classes are in thr ratio 5:7 if10 students left from each class ,the remain students arr in the ratio of 4:6, then the no. O f students in the class is: 1)30:40 2)25,24 3)40:60 4)50:70 Plz reply that we have to sub. 10 from the no of students in the original ratio or not.?
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Thd students of 2 classes are in thr ratio 5:7 if10 students left from each class ,the remain students arr in the ratio of 4:6, then the no. O f students in the class is: 1)30:40 2)25,24 3)40:60 4)50:70 Plz reply that we have to sub. 10 from the no of students in the original ratio or not.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Thd students of 2 classes are in thr ratio 5:7 if10 students left from each class ,the remain students arr in the ratio of 4:6, then the no. O f students in the class is: 1)30:40 2)25,24 3)40:60 4)50:70 Plz reply that we have to sub. 10 from the no of students in the original ratio or not.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Thd students of 2 classes are in thr ratio 5:7 if10 students left from each class ,the remain students arr in the ratio of 4:6, then the no. O f students in the class is: 1)30:40 2)25,24 3)40:60 4)50:70 Plz reply that we have to sub. 10 from the no of students in the original ratio or not.?.
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