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The ratio of the cost price of cookie A to that of cookie B is 2 : 5. The ratio of profits made on selling the cookies is in the ratio 4 : 5. If the selling price of cookie B is Rs. 100, find the selling price of cookie A.
  • a)
    Rs. 48
  • b)
    Rs. 44
  • c)
    Rs. 50
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio of the cost price of cookie A to that of cookie B is 2 : 5. ...
Let the cost price for cookies A and B be 2x and 5x respectively and the profits for cookies A and B be 4y and 5y respectively.
Thus, for cookie B, SP = 5x + 5y = 100
∴ x + y = 20
For cookie A, SP = 2x + 4y But we do not know the value of x andy hence the selling price of cookie A cannot be determined.
Hence, option 4.
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Most Upvoted Answer
The ratio of the cost price of cookie A to that of cookie B is 2 : 5. ...
Let's assume that the cost price of cookie A is 2x and the cost price of cookie B is 5x.

We are given that the ratio of profits made on selling the cookies is 4 : 5.

Profit is calculated as the selling price minus the cost price.

Let's assume the selling price of cookie A is y.

The profit made on selling cookie A would be y - 2x.

Similarly, the selling price of cookie B is given as Rs. 100, and the profit made on selling cookie B would be 100 - 5x.

According to the given ratio of profits, we can write the following equation:

(y - 2x)/(100 - 5x) = 4/5

Cross-multiplying, we get:

5(y - 2x) = 4(100 - 5x)

5y - 10x = 400 - 20x

5y = 400 - 10x

Dividing by 5, we get:

y = 80 - 2x

Now, we need to find the selling price of cookie A, which is y.

Since we do not have the value of x or any other information, we cannot determine the exact value of y.

Therefore, the selling price of cookie A cannot be determined.

Hence, the correct answer is option D) Cannot be determined.
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Community Answer
The ratio of the cost price of cookie A to that of cookie B is 2 : 5. ...
Let the cost price for cookies A and B be 2x and 5x respectively and the profits for cookies A and B be 4y and 5y respectively.
Thus, for cookie B, SP = 5x + 5y = 100
∴ x + y = 20
For cookie A, SP = 2x + 4y But we do not know the value of x andy hence the selling price of cookie A cannot be determined.
Hence, option 4.
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