A shopkeeper sold an article offering a discount of 10% and earned a profit of 25%.

A shopkeeper sold an article offering a discount of 10% and earned a profit of 25%. What would have been the percentage of profit earned if no discount was offered?

Answer/Solution

39%

Steps/Work

Let C.P. be $100.
Then, S.P. = $ 125
Let marked price be $ x. Then, 90/100 * x = 125
x = 12500/90 = $ 139
Now, S.P. = $ 139, C.P. = Rs. 100
Profit % = 39%.
Answer: A

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A shopkeeper sold an article offering a discount of % and earned a profit of %. What would have been the percentage of profit earned if no discount was offered?

Calculated Answer

38.888888888889

Step by Step Solution

In order to solve problem, you must evaluate ((n₁ + 100) * 100) / (100 - n₀) - 100.

n₀ =	10
n₁ =	25

((n₁ + 100) * 100) / (100 - n₀) - 100
Evaluate n₁ + 100 = 125
(125 * 100) / (100 - n₀) - 100
Evaluate 125 * 100 = 12500
12500 / (100 - n₀) - 100
Evaluate 100 - n₀ = 90
12500 / 90 - 100
Evaluate 12500 / 90 = 138.88888888889
138.88888888889 - 100
Evaluate 138.88888888889 - 100 = 38.888888888889
38.888888888889
The answer to the problem and the result of ((n₁ + 100) * 100) / (100 - n₀) - 100 is 38.888888888889

Quiz

Answer/Solution

Steps/Work

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Calculated Answer

Step by Step Solution