Question

among 1100 boys and 700 girls.who have appeared for an examination 42% of the boys 30% of the girls passed the examination.the failed percentage of the total is​

Answer 1

Answer:

given

42%of boys

30% of girls

solution

failed per cent =100%-42%+30%

failed %= 28%

Answer 2

✬ Failed Percentage = 62.67 % ✬

Step-by-step explanation:

Given:

• Number of boys and girls are 1100 and 700 respectively.
• 42% of boys and 30% of girls passed in the examination.

To Find:

• What is the total failed percentage?

Solution: Total number of students = ( Number of boys + girls )

$\small\implies{\sf }$ Total students = (1100 + 700)

$\small\implies{\sf }$ 1800 Students.

• Number of passed students = 42% of 1100 + 30% of 700

$\small\implies{\sf }$ 42% of 1100 = 42/100 x 1000

$\small\implies{\sf }$ 42 x 11 = 462

$\small\implies{\sf }$ 30% of 700 = 30/100 x 700

$\small\implies{\sf }$ 30 x 7 = 210

∴ Total number of passed students = 462 + 210

$\small\implies{\sf }$ 672 students.

Therefore, Number of students who failed =

• (Total number of students – Number of passed students)

$\small\implies{\sf }$ Failed students = (1800 – 672)

$\small\implies{\sf }$ 1128 students.

∴ Percentage of failed students = (No. of failed students / Total number of students) x 100

$\small\implies{\sf }$ Failed percentage = ( 1128/1800 ) x 100

$\small\implies{\sf }$ 1128/18

$\small\implies{\sf }$ 62.67 %

Hence, The failed percentage is 62.67 %

_______________________

★ Check ★

• Passed percentage = (Passed students/Total students) x 100

$\small\implies{\sf }$ ( 672/1800) x 100

$\small\implies{\sf }$ 672/18

$\small\implies{\sf }$ 37.33 %

→ Passed percentage + Failed Percentage = 100%

→ ( 37.33 + 62.67 )% = 100%

→ 100% = 100%