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There are 5000 students in a school. The next year it was found that the number of boys and girls increased by 10% and 15% respectively making the total number of students in school as 5600. Find the number of girls originally in the school?
- a)4500
- b)2000
- c)3000
- d)Cannot be determined
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
There are 5000 students in a school. The next year it was found that t...
Let number of girls = x, then no of boys = (5000-x). then
10% of (1000-x) + 15% of x = (5600-5000)
Solve, x = 2000
Most Upvoted Answer
There are 5000 students in a school. The next year it was found that t...
Given:
Total number of students in a school = 5000
Total number of students in school after an year = 5600
Increase in number of boys = 10%
Increase in number of girls = 15%
To find: Number of girls originally in the school
Let the number of boys in the school initially be B and the number of girls be G. Then we have:
B + G = 5000 (Total number of students in the school initially)
After an year, the number of boys increased by 10%. So the new number of boys in the school is 1.1B.
Similarly, the number of girls increased by 15%. So the new number of girls in the school is 1.15G.
So we have:
1.1B + 1.15G = 5600 (Total number of students in the school after an year)
Substituting B = 5000 - G from the first equation, we get:
1.1(5000 - G) + 1.15G = 5600
Simplifying the above equation, we get:
5500 - 0.05G = 5600
0.05G = 100
G = 2000
Therefore, the number of girls originally in the school is 2000 (Option B).
Answer: Option B.
Total number of students in a school = 5000
Total number of students in school after an year = 5600
Increase in number of boys = 10%
Increase in number of girls = 15%
To find: Number of girls originally in the school
Let the number of boys in the school initially be B and the number of girls be G. Then we have:
B + G = 5000 (Total number of students in the school initially)
After an year, the number of boys increased by 10%. So the new number of boys in the school is 1.1B.
Similarly, the number of girls increased by 15%. So the new number of girls in the school is 1.15G.
So we have:
1.1B + 1.15G = 5600 (Total number of students in the school after an year)
Substituting B = 5000 - G from the first equation, we get:
1.1(5000 - G) + 1.15G = 5600
Simplifying the above equation, we get:
5500 - 0.05G = 5600
0.05G = 100
G = 2000
Therefore, the number of girls originally in the school is 2000 (Option B).
Answer: Option B.
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Community Answer
There are 5000 students in a school. The next year it was found that t...
B) 2000
Explanation: Let number of girls = x, then no of boys = (5000-x). then 10% of (1000-x) + 15% of x = (5600-5000) Solve, x = 2000
Explanation: Let number of girls = x, then no of boys = (5000-x). then 10% of (1000-x) + 15% of x = (5600-5000) Solve, x = 2000
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