# Find the Number of Boys Who Left the School :

In a school there were 1554 students and the ratio of the number of the boys and girls was 4:3. After few days, 30 girls joined the school but few boys left: as a result the ratio of the boys and girls became 7:6. The number of boys who left the school?

1. 86
2. 76
3. 84
4. 74
Anurag Mishra Professor Asked on 26th October 2015 in
1 Answer(s)

Answer is (2): 76

Explanation:-
The total number of students in a school = 1554
The ratio of the number of boys and girls = 4: 3

Then, the number of boys in a school= 1554 x 4/7
= 222 x 4
= 888
And the number of girls in the school = 1554 x 3/7
= 222 x 3
= 666

After few days, 30 girls joined the school but few boys left
Then, the number of girls = 666 + 30
= 696

Then, the new ratio of boys and girls = 7: 6
Let the number of boys be = 7 X and the number of girls be = 6 X
Then, 6 X = 696
X = 696/6
X = 116

So, the number of boys = 116 x 7
= 812

Then, the number of boys who left the school = 888 – 812
= 76

Hence, the answer is (2) 76.

Monis Rasool Professor Answered on 28th October 2015.

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