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.
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