Question

If increasing 50 by x% is equal to the result of decreasing 70 by x%. what is the value of x?

Answer 1

Increasing 50 by x% can be written as:

$50 + \frac{x}{100} =50+0.01x$.................(1)

Decreasing 70 by x % can be represented by the expression:

$70 + \frac{x}{100} =70-0.01x$...........(2)

Now we are given in the question that if we increase 50 by x% and 70 by x%, then the two values are equal.

so equating (1) and (2) , we get

$50 +0.01 x =70 - 0.01x$

bringing 0.01x to the left side:

$50 +0.01x +0.01x = 70$

$50 +0.02x = 70$

taking 50 to the right side, subtracting it from 70

$0.02x = 70-50$

$0.02x = 20$

dividing both sides by 0.02

$\frac{0.02x}{0.02} =\frac{20}{0.02}$

Answer x=2000