Price of an item is reduced by 40% of its original price. A week later it’s reduced 20% of the reduced price. What’s the actual % of the reduction from the original price

The actual percentage of reduction is 52%

The first reduction is given as:

The second reduction is given as:

Assume that the original price of the item is x.

After the first reduction of 40%, the new price would be:

So, we have:

After the second reduction of 20% on the reduced price, the new price would be:

So, we have:

Recall that the original price is x.

So, the actual reduction is:

Divide

Express as percentage

Hence, the actual percentage of reduction is 52%

Read more about percentage change at:

link

52%

Step-by-step explanation:

Let the original price be 100.

After 40% reduction, price will be 100 - 40% = 60

After further 20% reduction, price will be 60 - 20% = 48

%age = (cur val - orig. val ) / orig val x 100

= (48 - 100) / 100 x 100%

= -52

is only a line? i think so