Question

Ratio of boys and girls in a class 5 is to 3 if 16%of boys and 8%of girls failed in examination find the percentage of passed student

Answer 1

Answer:

76%

Step-by-step explanation:

TOTAL FAILED STUDENT ARE 24% SO PASSED STUDENT ARE 100-24 =76%

Answer 2

Answer:

87% of students passed the examination.

Step-by-step explanation:

Given:

The ratio of boys to girls is 5:3.

So, there are $5x$ boys and $3x$ girls.

Therefore, total number of students is $5x+3x=8x$.

Now, percent of boys failed = 16%

∴ percent of boys passed is $100-16=84\%$

Number of boys passed = 84% of $5x$ = $\frac{84}{100}\times 5x=4.2x$

Percent of girls failed = 8%

∴ percent of girls passed is $100-8=92\%$

Number of girls passed = 92% of $3x$ = $\frac{92}{100}\times 3x=2.76x$

Total students passed = $4.2x+2.76x=6.96x$

Therefore, percentage of students passed is equal to:

$=\frac{\textrm{Total passed}}{\textrm{Total students}}\times 100\\\\=\frac{6.96x}{8x}\times 100\\\\=87\%$

Hence, 87% of students passed the examination.