# 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?

- 86
- 76
- 84
- 74

**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.