What is the normal price of an article sold at $108 after two successive discounts of 10% and 20%?

What is the normal price of an article sold at $108 after two successive discounts of 10% and 20%?

Answer/Solution

$150

Steps/Work

0.8*0.9*cost price = $108
cost price = $150
The answer is C.

Gain Calculator / Auto Solver

What is the normal price of an article sold at $ after two successive discounts of % and %?

Calculated Answer

150

Step by Step Solution

In order to solve problem, you must evaluate n₀ / ((100 - n₁) / 100 * (100 - n₂) / 100).

n₀ =	108
n₁ =	10
n₂ =	20

n₀ / ((100 - n₁) / 100 * (100 - n₂) / 100)
Evaluate 100 - n₁ = 90
n₀ / (90 / 100 * (100 - n₂) / 100)
Evaluate 90 / 100 = 0.9
n₀ / (0.9 * (100 - n₂) / 100)
Evaluate 100 - n₂ = 80
n₀ / (0.9 * 80 / 100)
Evaluate 80 / 100 = 0.8
n₀ / (0.9 * 0.8)
Evaluate 0.9 * 0.8 = 0.72
n₀ / 0.72
Evaluate n₀ / 0.72 = 150
150
The answer to the problem and the result of n₀ / ((100 - n₁) / 100 * (100 - n₂) / 100) is 150