The ratio between boys and girls in a school is 6 : 8 respectively. If the number of boys is increased by 200 the ratio becomes 7 : 8 respectively. How many girls are there in the school?
[ A ] 1600
[ B ] 1664
[ C ] 2000
[ D ] 2000
Answer : Option A
Explanation :
Let the number of boys and girls be 6x and 8x respectively. According to question,
$6x+200\over8x$= $7\over8$
6x + 200 = 7x
7x– 6x = 200 x = 200
The number of girls = 8 × 200 = 1600