Question

A reduction of 20% in the price of an article enables a dealer to purchase 20 articles more for ₹30,000 . Find the original price of the article?

Answer 1

Answer:

7500 is original price

Answer 2

The original price of the article = ₹ 375

Given :

A reduction of 20% in the price of an article enables a dealer to purchase 20 articles more for ₹ 30,000

To find :

The original price of the article

Solution :

Step 1 of 2 :

Form the equation to calculate original price of the article

Let original price of the article = ₹ 100x

∴ Number of articles can be purchased

= 30000/100x

Now there is a reduction of 20% in the price of an article

∴ New price of the article = ₹ 80x

∴ Number of articles can be purchased

= 30000/80x

By the given condition

$\displaystyle \sf \frac{30000}{80x} - \frac{30000}{100x} = 20$

Step 2 of 2 :

Calculate original price of the article

$\displaystyle \sf \frac{30000}{80x} - \frac{30000}{100x} = 20$

$\displaystyle \sf{ \implies } \frac{30000 \times (100 - 80)}{8000x} = 20$

$\displaystyle \sf{ \implies } \frac{30000 \times 20}{8000x} = 20$

$\displaystyle \sf{ \implies } \frac{30000 }{8000x} =1$

$\displaystyle \sf{ \implies }8000x = 30000$

$\displaystyle \sf{ \implies }x = 3.75$

Hence original price of the article

= ₹ 100x

= ₹ (100 × 3.75)

= ₹ 375

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