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The profit on an article decreases by 20%. By what percent should the sale be increased so that the total profit increases by 20%.
1. 25%
2. 40%
3. 20%
4. 50%

1 Answer

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Best answer
Correct Answer - Option 4 : 50%

Given-

Decrease in Profit = 20% 

Concept Used-

If a × b = constant, then a increase with the decrease in b.

Calculation- 

Let initially the total sale be 100 and profit on sale of each article also be 100.

Total Profit  = 100 × 100

Now, profit decreases by 20% i.e 80. 

Total profit after 20% increase = 10000(1 + 20%)

⇒ 12000

Let sale now be x

According to Question-

12000 = x × 80

⇒ x = 150

⇒ Increase in sale = (150 - 100)/100 × 100

⇒ 50%

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