Question

8. The Price of an article rises 20% and then falls 20% then the net rise of fall present in the price of an article is how much
​

Answer 1

Step-by-step explanation:

20%

is the right answer.

Answer 2

Given:-

• The price of an article rises = 20%
• The price of an article falls = 20%

To Find:-

• The net rise of fall percent in the price of an article = ?

Solution :-

Let initial price be Rs.100

Increase in Price = 20%

$\sf \therefore \: new \: price = 100(1 + \frac{20}{100} ) \\ \\ \sf \: = 120$

New price is decreased by 20%

$\sf \therefore \: new \: price = 120(1 - \frac{20}{100} ) \\ \\ \sf \: = 96 \\ \\ \sf \therefore \: final \: price = 96 \\ \\ \sf inital \: price = 100$

$\sf\therefore \: increase \: in \: price = (100 - 96) = 4 \: rupees \\ \\ \sf \% increase = \frac{increase(in \: rs)}{initial \: price} \times 100 \\ \\ \sf = \frac{4}{100} \times 100 \\ \\ \sf = 4\%$

Hence,

• There is 4% increase in Price