Question

The price of an article is first decreased by 20%
and then increased by 30%. If the resulting price is
Rs 416, the original price of the article is
1) Rs 350 2) Rs 405 3) Rs 400
4) Rs 450 5) None of these​

Answer 1

Answer:

Net effect in the price = -20+30 -20*30/100 = 10-6 = 4%

so,

104% --------------- 416

100% ------------- 400 (3) (Ans)

(Mark as brainlist)

Answer 2

Given :

The price of an article is first decreased by 20% and then increased by 30%.

To find :

If the resulting price is Rs 416, the original price of the article is?

Solution :

Let the price of an article is Rs 100

First, decreased by 20%

=> 100 - (100x20/100)

=> 100 - 20

=> 80

Then, increased by 30%.

=> 80 + (80x30/100)

=> 80 + 24

=> 104

If the resulting price is Rs 416, the original price of the article is?

By Unitary Method -

when the cost of an article is 100, then the resulting price is Rs 104.

when the resulting price is Rs 416, then the original price of an article will be :

$= > \dfrac{416 \times 100}{104}$

$= > \dfrac{41600}{104}$

$= > 400$

Hence, If the resulting price is Rs 416, the original price of the article is Rs 400