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# When an article is sold at 5% discount, then there is a profit of 14%. If the discount is 11%, then what will be the profit?

A. 6.8%

B. 7.2%

C. 7.6%

D. 8.4%

### Solution(By Examveda Team)

Given:
For Discount = 5%, Profit = 14%
Formula used:
Selling price = Marked price - Discount
Cost price = $$\frac{{100}}{{100 + {\text{Profit}}}} \times {\text{Selling price}}$$
Profit % = $$\frac{{{\text{Selling price}} - {\text{Cost price}}}}{{{\text{Cost price}}}} \times 100$$
Calculation:
Let the Marked price of the article = Rs. 100
Discount = 5% ⇒ Selling price = Rs. 95
Profit = 14% ⇒ Cost price = $${\text{Rs}}{\text{. }}\left( {\frac{{100}}{{100 + 14}}} \right) \times 95$$
Cost price = $${\text{Rs}}{\text{. }}\frac{{250}}{3}$$  = Rs. 83.3
For the Discount of 11%, Selling price = Rs. 89
Then Profit % = $$\frac{{89 - 83.3}}{{83.3}} \times 100$$
Profit = 6.84 ≈ 6.8
Hence, the correct answer is option A.

This Question Belongs to Arithmetic Ability >> Percentage

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