Question

out of 1800 students in a school 40% are girls and rest are boys if 25% of the boys and 45% of girls are vegetarians then what percent of the total number of students are non vegetarian

Answer 1

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Answer 2

Answer:

Percent of non vegetarian students is 67%.

Step-by-step explanation:

Given,total number of students are 1800 and 40% are girls and rest are boys.

We know,

$x\% \: of \: y = \frac{x}{100} \times y = \frac{xy}{100}$

Here number of girls

= 40% of total students =40% of 1800$= \frac{40}{100} \times 1800 \\ = 40 \times 18 \\ = 720$

So, number of boys

$= (1800 - 720) = 1080$

Again given that 25% of the boys and 45% of girls are vegetarians.

So, number of vegetarian boys $= 25\% \: of \: 1080 = \frac{25}{100} \times 1080 = 270$

and number of vegetarian girls

$= 45\% \: of \: 720 = \frac{45}{100} \times 720 = 324$

Therefore total number of vegetarian students $= (270 + 324) = 594$

Now,total number of non vegetarian students= Total number of students - vegetarian students $= 1800 - 594 = 1206$

Here total number of students is 100%

So 1800 means 100%

By Unitary method,

1 means $\frac{100}{1800} \%$

and 1206 means $\frac{100}{1800} \times 1206\%= 67\%$

Percent of non vegetarian students is 67%.