Question

on increasing the price an article by 16% ,it becomes ₹1479 find the original price​

Answer 1

Given ,

Increase percentage = 16%

Final price = ₹1,479

To Find :-

The original price.

Solution :-

Let the original price be x

Increased Price = 16% of x

$=\: {\dfrac{16 \times x}{100}}$

$=\: {\dfrac{4x}{25}}$

Final price = OP + IP

$=\: x\: -\: {\dfrac{4x}{25}}$

$=\: {\dfrac{25x + 4x}{25}}$

$=\: {\dfrac{29x}{25}}$

Also given that final price is ₹1479

$=>\: 1479\: =\: {\dfrac{29x}{25}}$

$=>\: x\: =\: {\dfrac{1479 \times 25}{29}}$

=> x = 1279

Therefore, Original Price is ₹1279

Short-hands Used :-

• OP = Original Price
• IP = Increased Price
• FP = Final Price