# 3,000 students appeared in a contest.Of them 40% were girls and the remaining boys.If 10% boys and 12% girls won contest with prizes,find the percentage of students who won prizes.

total number of students = 3000

number of girls = 40 % of 3000

= 3000* 40 / 100

= 1200

number of boys = 3000 - 1200

= 1800

since 10 % of boys won the prizes , therefore

the number of boys who won prizes = 10 % of 1800

= 1800 * 10 / 100

= 180

since 12 % of girls won the prizes , therefore

the number of girls who won prizes = 12 % of 1200

= 1200 * 12/ 100

= 144

thus the number of students who won the prizes = 180 + 144 = 324

% students who won the prizes =( 324 / 3000) * 100

= 10.8 %

hope this helps you.

cheers!!

• 0

total students = 3000

girls=40% of 3000

=40/100*3000

=40*30

=1200 girls

no of boys=3000-1200

=1800 boys

10% of boys won=10/100*1800

=180 boys

20% of girls won=20/100*1200

=240 girls

total students who won are = 180+240

= 420 students won

• 1

total students = 3000

girls=40% of 3000

=40/100*3000

=40*30

=1200 girls

no of boys=3000-1200

=1800 boys

10% of boys won=10/100*1800

=180 boys

20% of girls won=20/100*1200

=240 girls

total students who won are = 180+240

= 420 students won

• 0

total students = 3000

girls=40% of 3000

=40/100*3000

=40*30

=1200 girls

no of boys=3000-1200

=1800 boys

10% of boys won=10/100*1800

=180 boys

20% of girls won=20/100*1200

=240 girls

total students who won are = 180+240

= 420 students won

• 1
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