Question

1 unit of $x\%$ alcohol is mixed with 3 units of $y\%$ alcohol to give $60\%$ alcohol. If $x>y$ , how many integer values can x take?

• A. 19
• B. 20
• C. 21
• D. 13
• E. 15

Answer 1

The correct option is D

13

We know that

$\frac{(x+3y)}{4}=60$ or x+3y =240 and $x>y$

As $0<x<100$, let's start with x=99. When x= 99, y=47.

When x=96, y=48 and so on. x has to be greater than y. Now in the limiting case, when x=60, y=60.

So when x=63, y=59. So x can take the values of 63,66,69...... till 99, a total of 13 values.