To increase revenue, a soft-drink company changed the price of and quantity of drink in a bottle. What is the percent change in revenue earned for every 100 ml of soft drink?
(1) The company reduced the price of a $5 bottle by giving a discount of 4 percent.
(2) The company reduced the quantity of drink in the bottle from 500 ml to 400 ml.
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: The company reduced the price of a $5 bottle by giving a discount of 4 percent.
Through this statement, we can infer that the new price of a single bottle = 5*0.96 = $4.8/bottle
However, this statement does not tell us anything about the quantity of drink in the bottle. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: The company reduced the quantity of drink in the bottle from 500 ml to 400 ml.
This statement only tells about the quantity change, but not about the price change. Hence, this, statement is also insufficient alone.
Now, let's look at the combination of both the statements:
Before change:Price = $5/bottle
Quantity = 500 ml
Revenue earned for every 100 ml of soft drink = (5/500) * 100 = $1
After change:Price = $4.8/bottle
Quantity = 400 ml
Revenue earned for every 100 ml of soft drink = (4.8/400) * 100 = $1.2
Thus, the percentage change in revenue earned for every 100 ml of soft drink = (1.2-1)/1 * 100 = 20%
Hence, using Statements 1 and 2 together, we can arrive at the required answer. Thus, the correct answer is
Option C - Both statements together are sufficient, but neither alone is.Hope this helps!