What is the opposite of +50?

We see that initial selling price $=\$200$ . Now, the shopkeeper says to increase the selling price by $50\text{\% }$ . Then----

Selling price (after raise in price) $=\$200 + \frac{50}{100}\times \$200 = \$200+\$ \frac{200}{2}=\$200+\$100= \$\boxed{300}$

Now, when the shopkeeper is pissed off on not having any profit, he decides to cut down prices by $50\text{\%}$ , i.e., reduce price by $50\text{\%}$ of $\$300$ not $\$200$ as $\$300$ is now the selling price. Then---

Selling price (after fall in price) $=\$300 - \frac{50}{100}\times \$300 = \$300 - \$\frac{300}{2}=\$300-\$150= \$ \boxed{150}$

Now, since final selling price is less than original selling price at the beginning, so obviously the prices went down. He is selling the products at $\$(200-150)=\$50$ less than his original $\$200$ price.

So, net change by the decisions $=\frac{50}{200}\times 100 =\frac{1}{4}\times 100 = \boxed{25\text{\%}}$

So, The prices went down by 25% .

100 TO 150 TO 75 IS 100 TO 75 IS 25 % REDUCTION

let the initial price be x. rise in price was 50%of x=3/2x. after reduction of 50% the price was 3/2x-50%of 3/2x.=3/4x. now the price was 75% of initial one so there was a reduction of 25%

Let the average price of a dog be x. At first, the shopkeeper raises the prices to 1.5x(which is x times 150%). Then, he cuts the prices, reducing the prices to 0.75x(which is 1.5x divided by 2). Thus, the net decrease in price is 25%

The general formula for these kind of questions is r^2/100 where r is the rate of percentage change. This only applies when increase% = decrease%. For example, If Cost Price of something is Rs.100 and you sell two of these items at a gain of 20% and loss of 20%, then percentage change is (20 * 20) / 100 = 4, which is a loss of 4%.

In this problem, we do (50 * 50)/100 =25(%)

K is the object.... K will going to increase by 50% resultant is S.P= 150% of C.P=>150K/100 Finally, Owner had changed his mind and decrease the object by 50% so, 50/100(150K/100)=3K/4.so, remaining is 1/4=0.25 our answer is in %..so 0.25*100=25%

let the price be x. when we increase it by 50% it will become 1.5x. Now if we decrease it by 50% it will now become 0.75x which is 25% less then actual price i.e. x. So the cost will went down by 25%.

Think of a dollar made up of 4 quarters. Increase by 50% brings you to $1.50, then half of that is 75 cents. This is a 25% decrease from the original dollar.

the formula is x^2/100 where x = the % going up and down. Moreover there is always a loss in this case.

Therefore, here x=50, x^2/100 = 2500/100 = 25

Therefore , the price will go down by 25%

Let name sale prices "a", prices after increasing of 50% "b" and prices after deacreasing of 50% "c"... b=a + 50% a, it means b= 1,5 a .. c= b- 50% b it means c= 0,5 b then c= 0,5 ( 1,5 a) so c=0,75 a... in conclusion the sale prices went down by 25%..

I'm with Aritri...using 100 is easiest!

The new price after increase become $300. After the second reduction by 50% it become $150. The new price becomes less by $50 to the original price. Find the percentage of $50 out of $200. This gives 25%:hence reduced by 25% from the original price.

Increasing 50%, it goes to 150. After reducing the 50%, it goes to 75%. So, net decrease is 100% - 75% = 25%

let say product price is 100 and he has raised 50 percentage. so it will come 150. now he has decided to fall down the price to 50%... so it will 150*50% =75 .... thus it went down to 25 percentange

Initial price=200$. After 50% increase of the prices, new price=300$. Noe the price is cut down by 50% from the latest price. So the new price becomes=300-150=150$. So the original price went down by 25%.

Let the initial selling price = Rs 100
Shopkeeper increased the selling price by 50%
Therefore, now the selling price = Rs 150
Again, he reduces it to 50%
That is now, selling price = Rs 75 So the difference is Rs 25
That means, the decrease is 25%

let the initial price be constant "K". ;
K + 0.5K = 1.5K

now, let 1.5K = L ;
L - 0.5L = 0.5L ;
substitute K to L, ;
0.5(1.5K) = .75K ;
in other words, the initial price decreases by 25%.

200+50% of 200 = 300 300-50% of 300 = 150 200-150 = 50 50/200 x 100% = 25%

for simplicity lets take initial selling price=100 after 50% increase selling price=100+(100x50/100)=150; again reducing selling price to half =150-(150x50/100)=75;

so present selling price =75=100(intial seeling price)-25; so prices went down by 25% .

we can consider that the price 1000 LE. since he first increased prices by 50% ..... (50% of 1000 =500 LE).... so the price became 1500 LE and when he had to decrase price by 50%...... (50% of 1500 = 750 LE) so the lost is 25%

This could be an easy calculation

1. let the original price be 100%

2. then he add 50% to all price which sum up into 150% (current price)

3. then he reduce the current price by 50% , means half of the current price, sum up into 150 / 2 = 75%

4. the original price was 100%, and now its 75%.. so the reduction is 25%..:)

Let the prices be 100 then100 + 50% = 100 + 50 = 150, Now 150 - 50% = 150 - 75 = 75. This means prices reduced 25%.

1.5*0.5=7.5.so it is 75% price now which is 25% less than other

Suppose initially price was increased by 50 % that is200 $ was made 300$. Next decision was to reduce theprice from 300$ by 50% that means price was 150 $ now. Therefore,net redution is from 200$ to 150 $ that is 25% Answer

K.K.GARG.India

First he increase price by 50% which is equivalent to multiplying by 1.5 or 3/2. Then he cuts the price, so multiply by 0.5 or 1/2.

3/2 * 1/2 = 3/4

The result is 3/4 which is 75% of the original price thus a 25% decrease.

let initial price be 100 $ increased price will be 100 + (50% of 100) i.e. 100 + 50 = 150 $ now, decrease it by 50% we get : 150 - (50% 0f 150) i. e. 150 -75 = 75 $ . Now comapring 100 $ with 75 $ we ll observe that sales went down to 25% finally

let initial sp=x sp increased by 50% => new sp = x+ x 50% = 3x/2 now sp desreased by 50% => new sp = 3x/2 - 50% 3x/2 = 3x/4 decrease in sp = (x- 3x/4)/100 = 25%

Consider the price is 100$.. With 50 % increase it will be 150$.. It's now (150)With 50% decrease again. Take half of 150 it will be 75.. Comparing it with the first normal price 100 we will find 25 decrease which is 25% down .. It's very simple

Let just the price be X The selling price = X Increase the selling price by 50%, so X + 50/100 · X = X + 0.5X = 1.5X Then decrease the sp by 50%, so the final sp is: 1.5 X - 50/100 · 1.5X = 1.5X - 0.75X = 0.75X It means that he is selling the products at ( 1 - 0.75 ) = lower 0.25 from the beginning price = less ( 0.25 · 100 ) = less 25% from the original price.

When he raises the price by 50% the price is at 150%. Then you can find out easily that 50% of 150% is 75% which is 25% less than 100%

initial selling price =200 Selling price after raise in price =300 selling price after fall in price=150 Net chsnge=50/200*100=25%

100 TO 150 TO 75 IS 100 TO 75 IS 25 % REDUCTION

Let the initial price be Rs.200. When the shopkeeper increases the selling price by 50% the selling price becomes 200+50% of 200=200+100=300. Now, the shopkeeper decides to decrease the selling price by 50%. Here, we are decreasing the current selling price by 50% and not the original one. Therefore, we get 300-50% of 300=300-150=150. Now 200-150=50 which is 25% of 200. Hence, the selling price has gone down by 25%

let the original sp be 100, after increasing 50 % it became 150, now reduce it by 50 % thus reducing by 75 so the final sp 75, a reduction of 25 %

X + 0.5X = 1.5X. 1.5X /2 = 0.75X

ie., X - 0.75X = 0.25X ie., 25% down