A shopkeeper sold an book offering a discount of 5% and earned a profit of 42.5%.

A shopkeeper sold an book offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount was offered?

Answer/Solution

150

Steps/Work

Let C.P. be $100.
Then, S.P. = $142.50
Let marked price be $x. Then, 95/100 x = 142.5
x = 14250/95 = $150
Now, S.P. = $150, C.P. = $100
Profit % = 50%.
E

Gain Calculator / Auto Solver

A shopkeeper sold an book 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

150

Step by Step Solution

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

n₀ =	5
n₁ =	42.5

(n₁ + 100) / (100 - n₀) * 100
Evaluate n₁ + 100 = 142.5
142.5 / (100 - n₀) * 100
Evaluate 100 - n₀ = 95
142.5 / 95 * 100
Evaluate 142.5 / 95 = 1.5
1.5 * 100
Evaluate 1.5 * 100 = 150
150
The answer to the problem and the result of (n₁ + 100) / (100 - n₀) * 100 is 150

Quiz

Answer/Solution

Steps/Work

Gain Calculator / Auto Solver

Calculated Answer

Step by Step Solution