A retailer buys 120 articles from the wholesaler but returns the 75% article at 20% less price due to a decrease in price. After a few days retailer again buys the returned article at 20% high price than the actual price. The extra amount (total) paid by the retailer is what percent more than the actual price of each article?

A retailer buys 120 articles from the wholesaler but returns the 75% article at 20% less price due to a decrease in price. After a few days retailer again buys the returned article at 20% high price than the actual price. The extra amount (total) paid by the retailer is what percent more than the actual price of each article? Correct Answer 40%

Given:

Number of articles = 120 articles

Returned articles = 75%

Calculation:

Let the price of each article be Rs. 10X

⇒ Price of 120 articles = 10x × 120 = Rs. 1200x

Now 75% of articles are returned

⇒ 75% of 120 = 90

Amount paid by retailer for 90 articles = 90 × 10x = Rs. 900x

But retailer returns the article at 20% less price

⇒ Price for each article at which it is returned = 80% of 10x = Rs. 8x

Amount received by the retailer = 90 × 8x = Rs. 720x

Now, the retailer purchased the returned quantity at 20% higher price than the actual price

⇒ New purchasing Price for each article = 120/100 × 10x = Rs. 12x

Amount paid by retailer on again buying the articles = 90 × 12x = Rs. 1080x

⇒ Total extra amount paid and loss by the retailer = (900x – 720x) + (1080x – 900x) = Rs. 360x

Extra paid for each article = 360x/90 = Rs. 4x

∴ Required percentage = 4x/10x × 100 = 40%

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