Leo has a salary of 💷 120000. Calculate his new salary if it is increased by x% & decreased by x%. [I Like Mathematics]

@Riemann ok. Basically we're going to multiply the whole thing by 120000 and then divide by 120000. Maybe that will be illustrative.start with:

y = 120000 + 120000 * x / 100

Do the multiply and divide:

y = 120000 * (120000 + 120000 * x / 100) / 120000

Now distribute the division over the two terms in the parentheses.

y = 120000 * (120000 / 120000 + 120000 * x / 100 / 120000)

Clearly 120000/120000 is 1 and 120000 * x / 100 / 120000 is just x / 100.

So 120000 + 120000 * x / 100 equals 120000 * (1 + x / 100)

Does that help or make it worse?

@FrozenWasteland The decrease one seems too big.
We need to decrease x% from
120000 * (1 + x / 100)?

@Riemann That's correct. you need to decrease x% from 120000 * (1 + x/100). So you get:

120000 * (1 + x/100) * (1 - x/100)

The decrease is always bigger than the increase was (in dollars, not percentage) because it's the same percentage of a larger number. Think of a 100% increase followed by a 100% decrease -- whatever you started with, the end result is 0.

@MrBlueGuy The answer is written in the details fam.. Just wanna know the steps..

@Riemann Yes.

@helenS Ma'am, pls, the steps.
😑

@Riemann Elementary, dear Watson.

@helenS Check inbox for not elementary stuff. 😑

@Unlearn this is part b fam. Part a was, what if 10% increase and then 10% decrease. Got 118800.

@Riemann yes it should be less that his original salary...

@Iwillwait The answer is given fam. Just wan know the steps.

@Iwillwait it wouldn't be same...it would be less that 120000.

@WandererTony

@Riemann the gif isnt visible :(

@WandererTony It is. Reload!

@TryingtoLava The answer is given fam. Can you explain the steps?

@Riemann o for sure
1) be born
2) learn math
3) join sw
4) post bout leo
5) ask lava bout steps
6) ask why theres step 6
7) rinse and repeat

@TryingtoLava 💯

@TheCoolestCat Yeahhhhhh

@SW-User Pls yes

@Riemann (a+b)*(a-b)=a^2 - b^2. I was sitting near Tony 😛