A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail ...

A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 50 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?

Answer/Solution

Steps/Work

Answer: D= 5.
Assume Rs. 100 to be the price at which the retailer buys from wholesaler.
50% increase makes Retail price = 150.
Now 30% decrease -> (1-30/100) * 150 = 105.
Now compared to the wholesale price of 100, 5% increase is what will have the same effect as increasing the wholesale price.

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A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is percent greater than the wholesale price. If the retailer decreases the retail price by percent this will have the same effect as increasing the wholesale price by what percent?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate ((n₀ / 100 + 1) * (1 - n₁ / 100) - 1) * 100.

n₀ =	50
n₁ =	30

((n₀ / 100 + 1) * (1 - n₁ / 100) - 1) * 100
Evaluate n₀ / 100 = 0.5
((0.5 + 1) * (1 - n₁ / 100) - 1) * 100
Evaluate 0.5 + 1 = 1.5
(1.5 * (1 - n₁ / 100) - 1) * 100
Evaluate n₁ / 100 = 0.3
(1.5 * (1 - 0.3) - 1) * 100
Evaluate 1 - 0.3 = 0.7
(1.5 * 0.7 - 1) * 100
Evaluate 1.5 * 0.7 = 1.05
(1.05 - 1) * 100
Evaluate 1.05 - 1 = 0.05
0.05 * 100
Evaluate 0.05 * 100 = 5
5
The answer to the problem and the result of ((n₀ / 100 + 1) * (1 - n₁ / 100) - 1) * 100 is 5

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