The price of a bicycle increases by 10% to £198. Find the price before the increase.?

Let's call the Price of the Bicycle as 'B'. Now we need to find B.

We know that when B increases by 10% then it costs £198, which is the same as saying:

B + 10% of B = £198

Which is the same as saying:

B + 0.1B = £198

Which is the same as saying:

1xB + 0.1xB = £198 (where 'x' means multiply)

Which simplifies to:

1.1 x B = £198

Now we use simple algebra to find B. In this case, we divide both sides by 1.1, giving you:

B = £180

So the original value of B was £180. Essentially, All I have done is divide £198 by 1.1. The above steps are just to show you why I did that. Good luck. To check your answer of £180, all you must do is add 10% of £180 to £180 which is:

£180 + 10% of £180

Which simplifies to:

£180 + £18 = £198

So your answer of £180 is definitely correct!

Good luck
 
hey dude chill out, now think prize before increase was x then 10% of it means 10x/100
when u add x to it u get the present prize as$198

10x/100 + x =198 multiply both sides with 100
10x+100x =19800
110x = 19800 now divide both sides with 110
x=180 $
this is the correct way of solving percentage stuff always try to use algebra so it would be easy to solve
 
Divide 198 by 110 (100% plus extra 10 percent)and multiply by 100 (original percent), so its $180
Check : $180x1.1= $198
 
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