In a school, 40% of the boys and 20% of the girls attended the picnic. If 45%…
2023
In a school, 40% of the boys and 20% of the girls attended the picnic. If 45% of all the students are boys. What percent of all students went to the picnic ?
- A.
33%
- B.
27%
- C.
31%
- D.
29%
Attempted by 518 students.
Show answer & explanation
Correct answer: D
Answer: 29%
Let the total number of students be 100. Then number of boys = 45 and number of girls = 55.
Boys who went to the picnic = 40% of 45 = 18.
Girls who went to the picnic = 20% of 55 = 11.
Total students who went = 18 + 11 = 29, so 29 out of 100 = 29% of all students.
Alternative percentage method: 0.45 × 0.40 + 0.55 × 0.20 = 0.18 + 0.11 = 0.29 = 29%.