Question

In a battle, 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs. The minimum value of x is:
1) 10
2) 12
3) 15
4) None of these

Please add enough explanation, I'll mark as brainliest.​

Answer 1

Answer:

1) 10

Step-by-step explanation:

Solution: (1)

The combatants who lost an eye and an ear = (70 + 80-100)% = 50%

The combatants who lost an eye, an ear

and an arm = (50 + 75-100)% = 25%

The combatants who lost an eye, an ear, an arm and a leg = (25-85 - 100)% = 10%The combatants who lost an eye, an ear, an arm and a leg (25-85 - 100)% = 10% =

The combatants who lost all the four limbs = 10%

X = 10%

Answer 2

$\large\underline{\sf{Solution-}}$

Given that,

In a battle, 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs.

Let assume that total number of combatants be 100.

Since, it is given that In a battle, 70% of the combatants lost one eye.

It means,

Number of combatants who lost one eye = 70/100 × 100 = 70

So, it implies, Number of combatants who didn't lost one eye = 100 - 70 = 30

Further given that, In a battle, 80% of the combatants lost an ear.

It means,

Number of combatants who lost an ear = 80/100 × 100 = 80

So, it implies, Number of combatants who didn't lost an ear = 100 - 80 = 20

Further given that, in a battle, 75 % of the combatants lost an arm.

It means,

Number of combatants who lost an arm = 75/100 × 100 leg5

So, it implies, Number of combatants who didn't lost an arm = 100 - 75 = 25

Further given that, in a battle, 85 % of the combatants lost a leg.

It means,

Number of combatants who lost a leg = 85/100 × 100 = 85

So, it implies, Number of combatants who didn't lost a leg = 100 - 85 = 15

So, we have

Number of combatants who didn't lost an eye = 30

Number of combatants who didn't lost an ear = 20

Number of combatants who didn't lost an arm = 25

Number of combatants who didn't lost a leg = 15

So, it implies,

Number of combatants who didn't lost any limb = 30 + 20 + 25 + 15 = 90

So, it implies,

Number of combatants who lost all the four limbs = 100 - 90 = 10

Since, it is given that, in a battle, x % lost all the 4 limbs.

So,

$\rm \: x \: \% \: of \: 100 \: = \: 10$

$\rm \: \dfrac{x}{100} \times \: 100 \: = \: 10$

$\rm\implies \:x = 10$

So, Minimum value of x = 10

So, option 1) is correct.