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1. A certain bakery ran a promoion: a customer can but x donuts for the regular price of Tk.15 total and get 3 donuts free. If the donut price per dozen during the promotion is Tk 2 less than the normal donut price per dozen, what is the value of x?
- A. 15
- B. 15
- C. 15
- D. 15
Answer: Option A
Explanation:
Let's break down the information provided:
During the promotion, a customer can buy x donuts for the regular price of Tk. 15 and get 3 donuts free.
The donut price per dozen during the promotion is Tk 2 less than the normal donut price per dozen.
Let's denote the normal price per dozen as "P" (in Tk).
So, during the promotion:
Price for x donuts (including 3 free donuts) = Tk. 15
Price per dozen during the promotion = P - 2 Tk
Now, let's set up the equation for the price of x donuts during the promotion:
(x + 3) * (P - 2) = 15
Now, we need to find the value of x. We know that P is the price per dozen during the normal period.
To solve for x, we'll first express P in terms of x:
P = (15 / (x + 3)) + 2
Now, we need to find a value of x for which P is a multiple of 5 (to make the total price of x donuts equal to Tk. 15). We'll try different values of x:
If x = 15: P = (15 / (15 + 3)) + 2 = 1 + 2 = 3 The total price for 15 donuts (including 3 free) at Tk. 3 per dozen would be Tk. 15.
So, the value of x is indeed 15, and this satisfies the condition of the promotion.
Therefore, x = 15.
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