A large retailer stocks two types of chocolate on their shelves

Question

A large retailer stocks two types of chocolate brands on their shelves. The store manager reviews the yearly sales data and finds that they sold twice as many units of Chocolate A as they did of Chocolate B. However, the yearly revenue generated from both types of chocolate brands was also equal.

Select the price of Chocolate A and the price of Chocolate B that are jointly consistent with this information.

Select the price of Chocolate A and the price of Chocolate B that are jointly consistent with this information.

I27-01

SatvikVedala · Answer

let no. of chocolates of B be x
so, no. of chocolates of A = 2x

Revenue from Sales of chocolate B = xy
Revenue from Sales of chocolate A = 2x?

? = y/2

if y = 30 then ? = 15

catinabox · Answer

This is the right answer!

If the no. of chocolates of Brand B = x
No. of chocolates of Brand A = 2x

Let's say the price of chocolates of Brand A = A
And the price of chocolates of Brand B = B

Since the revenue from both brands is equal,
A*2x = B*x
2A = B

The price of Brand B is twice that of A. The options that fit this are A = $15, B = $30.

Bunuel · Answer

Official Solution:

Given that twice as many units of Chocolate A were sold as of Chocolate B, while the revenue generated from both types of chocolate brands was equal, this implies that the price per unit of Chocolate B, in turn, was twice that of Chocolate A. To put it algebraically, assuming the number of Chocolate A and Chocolate B units sold were 2m and m, respectively, and the price per unit of Chocolate A and Chocolate B were x and y, respectively, we get:
 
2m * x = m * y

2x = y.
 
Therefore, we need to find such prices for Chocolate A and Chocolate B where the price of Chocolate B is twice that of Chocolate A. Only $15 for Chocolate A and $30 for Chocolate B satisfy this condition.

unraveled · Answer

The question tests the concept of product of two elements being constant while the elements change.
Here one element is price(p) and other is number of chocolates(n).
Hence 
p(A) * n(A) = p(B) * n(B)

Since n(A) = 2 * n(B)

So, the concept goes like this that if one element doubles the other elements has to half, keeping the product constant. OR
For the 2nd product if the element(number) halves then the other element(price) has to double.

Here as number doubles the price has to half for 1st product.

Checking the options that we have it can be seen that only 15 and 30 satosfy the criteria.

Answer 15(A) and 30(B)

Chocolate A Price	Chocolate B Price
		$10
		$15
		$25
		$30
		$40

A large retailer stocks two types of chocolate on their shelves

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A large retailer stocks two types of chocolate on their shelves

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