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The Principal of Navodaya Public School decided to award prizes to the students in each month for three values: discipline, cleanliness and regularity in attendance. It was decided to award 200 for discipline 100 for cleanliness and 50 for regularity in attendance. The number of students getting prizes in three categories are in the ratio 2:3: 4. If the product of ratios is 192
(i)
Find the number of students getting prize of each value. (ii) How much money was distributed for Discipline?
(iii) What was the total money distributed for all three values together?
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The Principal of Navodaya Public School decided to award prizes to the...
Finding the Number of Students in Each Category
To find the number of students getting prizes in each category, first, we denote the number of students for discipline, cleanliness, and regularity as 2x, 3x, and 4x respectively.
Given the product of the ratios is 192:
- 2x * 3x * 4x = 192
- 24x^3 = 192
- x^3 = 8
- x = 2
Now, substituting the value of x back into the ratios:
- Discipline: 2x = 2 * 2 = 4 students
- Cleanliness: 3x = 3 * 2 = 6 students
- Regularity: 4x = 4 * 2 = 8 students
Distribution for Discipline
The amount awarded for discipline is 200 per student. Therefore, the total money distributed for discipline is:
- Total for Discipline = Number of Students * Amount per Student
- Total for Discipline = 4 * 200 = 800
Total Money Distributed for All Values
Now, we calculate the total money distributed for all three values:
- Total for Cleanliness = 6 students * 100 = 600
- Total for Regularity = 8 students * 50 = 400
Now, we add all the amounts together:
- Total Money Distributed = Total for Discipline + Total for Cleanliness + Total for Regularity
- Total Money Distributed = 800 + 600 + 400 = 1800
Summary
- Number of Students:
- Discipline: 4 students
- Cleanliness: 6 students
- Regularity: 8 students
- Money Distributed:
- Discipline: 800
- Cleanliness: 600
- Regularity: 400
- Total: 1800
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The Principal of Navodaya Public School decided to award prizes to the students in each month for three values: discipline, cleanliness and regularity in attendance. It was decided to award 200 for discipline 100 for cleanliness and 50 for regularity in attendance. The number of students getting prizes in three categories are in the ratio 2:3: 4. If the product of ratios is 192(i)Find the number of students getting prize of each value. (ii) How much money was distributed for Discipline?(iii) What was the total money distributed for all three values together?
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The Principal of Navodaya Public School decided to award prizes to the students in each month for three values: discipline, cleanliness and regularity in attendance. It was decided to award 200 for discipline 100 for cleanliness and 50 for regularity in attendance. The number of students getting prizes in three categories are in the ratio 2:3: 4. If the product of ratios is 192(i)Find the number of students getting prize of each value. (ii) How much money was distributed for Discipline?(iii) What was the total money distributed for all three values together? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The Principal of Navodaya Public School decided to award prizes to the students in each month for three values: discipline, cleanliness and regularity in attendance. It was decided to award 200 for discipline 100 for cleanliness and 50 for regularity in attendance. The number of students getting prizes in three categories are in the ratio 2:3: 4. If the product of ratios is 192(i)Find the number of students getting prize of each value. (ii) How much money was distributed for Discipline?(iii) What was the total money distributed for all three values together? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Principal of Navodaya Public School decided to award prizes to the students in each month for three values: discipline, cleanliness and regularity in attendance. It was decided to award 200 for discipline 100 for cleanliness and 50 for regularity in attendance. The number of students getting prizes in three categories are in the ratio 2:3: 4. If the product of ratios is 192(i)Find the number of students getting prize of each value. (ii) How much money was distributed for Discipline?(iii) What was the total money distributed for all three values together?.
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