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. $25$
• B. $10$
• C. $15$
• D. $9$

Answer 1

The correct option is B $10$

Let us start with $70\%$ who lost one eye

Consider $80\%$ lost one ear.

This means $20\%$ did not lose one ear.

Suppose this $20\%$ all lost one eye as well.

This means $70\%-20\%=50\%$ lose one eye and one leg

Consider $75\%$ lost arm next.

This means $25\%$ did not lose arm.

Suppose this $25\%$ all lose one eye and one ear.

This means $50\%-25\%=25\%$ lose ear, one eye and one arm

Consider $85\%$ lost a leg

This means $15\%$ did not lose leg.

Suppose this $15\%$ all lose ear, one eye and one arm.

This means $25\%-15\%=10\%$ lost all $4$ limbs.

Now, it is given that $x\%$ lost all four limbs. So, $x=10$