Question

The price of shirt first increased by 20% and was then reduced by 25%.Now its price is 450,find its original price.

Answer 1

500 rs is the correct answer

Answer 2

The original price is Rs.500.

Step-by-step explanation:

The price of shirt first increased by 20% and was then reduced by 25%. Now its price is 450.

To find : The original price ?

Solution :

Let the price of shirt be 'x'.

The price of shirt first increased by 20%.

i.e. $P=x+20\%\text{ of }x$

$P=x+\frac{20}{100}\times x$

$P=x+0.2x$

$P=1.2x$

Then reduced by 25%.

i.e. $P=1.2x-25\%\text{ of }1.2x$

$P=1.2x-\frac{25}{100}\times1.2x$

$P=1.2x-0.3x$

$P=0.9x$

The price is P=450, substitute

$450=0.9x$

$x=\frac{450}{0.9}$

$x=500$

Therefore, the original price is Rs.500.

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