Question

the price of an article has been reduced by 25%.In order to restore the original price the new price must be increased by

Answer 1

Let,
Old price = x
New price = y

According to question
y = x - (25% of x)
y = x - (25/100 × x)
y = x - x/4
y = 3x/4 ……(1)

Now, in order to restore the original price (x) the new price (y) should be increased by z
x = y + z
4y/3 = y + z ……[∵ from (1)]
z = 4y/3 - y
z = y/3

∴ New price should be increased by One-third.

Answer 2

Answer:

The new price must be increased by one-third times to restore the original price.

Step-by-step explanation:

Let's consider the original price as x then after reduction, the new price will be x - x/4 = 3x/4 (say y).

now the new price y  = 3x/4 then x = 4y/3 which is y + y/3 .

So the new price has to be increased by one-third or 33.3%