Question

out of 115000 students 20%failed in slc 40% failed in science only and 35% in math only but 5% failed in other subject then find failed in both math and science

Answer 1

$\huge\bold\red{Answer}$

We have been Given that:

Out of 1,15,000 students 20% failed in exam

40% of the failures failed in science only

and 35% in mathematics only

But 5% of them failed in other subjects.

5% of 11500 = (5/100) × 115000

=575

So,

we need to find the number of students who failed in both science and maths. That is:

= 40/100 × 1,15,000  + 35/100 × 1,15,000-575

= 4 × 11500 + 35 × 1150-575

= 46000 + 40250-575

= 86,250-575

=85,675

Therefore, a total of 85,675 students failed in both science and maths.

Answer 2

Answer:

$\implies$ A total of 85675 students failed in both science and math.

$\large\underline\mathrm{Solution}$

• Out of 115000 students 20%failed in exam.
• 40% of the failores failed in science only.
• 35% in math only but 5% failed in other subject.

$\implies$ 5% of 115000

$\implies$ 5/100 × 115000

$\implies$ 575

So,

we need to the find the number of of student who failed in both science and math.

Thus,

$\implies$ 40/100 × 11500 + 35/100 × 115000 - 575

$\implies$ 4 × 115000 + 35 × 1150 - 575

$\implies$ 46000 + 40250 - 575

$\implies$ 85250 - 575

$\implies$ 85675

Hence,

A total of 85675 students failed in both science and math.