Question

9. The price of an article reduced by 20 %, as a result a man
can Buy 8 more articles than before for Rs. 640 .Find the
Original price of an article.
(a) 16 (b) 24 (c) 10 (d) 20.​

Answer 1

Answer:

Step-by-step explanation:

Reduction of 20% = 1/5

This means that,

Orginal price is 5 and new price is 4

And we know that quantity is inversely proportional to price,

i.e. quantity purchased by person is 4 at 5 rs and after reduction quantity purchase by person is 5 at 4 rs

Increment in quantity is 1 which us equal to 3.5 kg

Initially person was purchasing 3.5×4=14kg rice

Original price is 77/14= 5.5rs

Using this method you can find any type of question asked by examiner on this concept.

Answer 2

Answer:

The original price is Rs. 320 and the new price is Rs. 64

Step-by-step explanation:

Step 1:

Let the original price of the article be x.

Since the price is reduced by 20%, the new price of the article will be

New price = 20% × original price

New price = $\frac{20}{100} x$

New price = $\frac{x}{5}$

Step 2:

Amount of articles that can be brought with the original price = $\frac{640}{x}$

Amount of articles that can be brought with the new price = $\frac{640}{\frac{x}{5} }$

Amount of articles that can be brought with the new price = $\frac{(640)(5)}{x}$

Step 3:

A reduction in the price allows the man to buy 8 more articles.

$\frac{640}{x} + 8 = \frac{(640)(5)}{x}$

$\frac{(640)(5)}{x}-\frac{640}{x} =8$

$\frac{3200-640}{x}=8$

$\frac{2560}{x}=8$

$x=\frac{2560}{8}$

$x=320$

Original price = 320

Step 4:

$\frac{x}{5} = \frac{320}{5}$

$\frac{x}{5}=64$

Reduced price = 64

Therefore, the actual price of the article is Rs. 320 and the reduced price is Rs. 64

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