# 30,000 students appeared in a contest. Of them 40% were girls and the remaining boys. If 10% boys and 12% girls won the contest with prizes, find the percentage of students who won prizes.

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No.of girl participants = 40% of 30,000

= (40/100) × 30,000

= (2/5)×30,000

= 12000

No.of boy participants = 30,000 - 12000

= 18000

no.of winners in boys = 10% of no.of boys

= (10/100)×18000

= 1/10 × 18000

= 18000/10

= 1800

no.of winners in girls = 12% of no.of girls

= (12/100) × 12000

= (3/25) × 12000

= 1440

Total no.of winners = 1800 + 1440 = 3240

∴ Percentage of students who won the prize = (3240/30000) ×100

= 10.8%