Question

If decreasing 70 by x percent results in the same number as increasing 60 by X percent, then what is X percent?

Answer 1

Answer:

7.6923077

Step-by-step explanation:

70*(100-x)/100=60(100+x)/100

7000-70x=6000+60x

1000=130x

x=100/13

=7.6923077

Answer 2

Answer:

6.67 %

Step-by-step explanation:

We have the numbers 70 and 60.

Now, it is given that if we increase 60 by x% and decrease 70 by x%, then we will get the same value.  

We have to calculate the value of x%.

So, 70[1-(x/100)] =60[1+(x/100)]

⇒70-0.7x =60 +0.6x

putting the x values in left hand side, we get

⇒1.5x =10

⇒ x= 6.67.

Hence, the required percentage is 6.67%. (Answer)