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

• A. $10$
• B. $12$
• C. $15$
• D. None of these

Answer 1

The correct option is A

$10$

Explanation for the correct option.

Find the percentage of combatants who lost all four limbs.

It is given that $70\%$ of the combatants lost one eye, $80\%$ an ear, $75\%$ an arm, $85\%$ a leg.

Now the percentage of combatants who lost one eye and one ear is: $\left(70+80-100\right)\%=50\%$.

The percentage of combatants who lost one eye, one ear and one arm is: $\left(50+75-100\right)\%=25\%$.

The percentage of combatants who lost one eye, one ear, one arm, and one leg is: $\left(25+85-100\right)\%=10\%$.

So $10\%$ combatants lost all four limbs in the battle.

Hence, the correct option is A.