Question
A vendor sells sandwiches and burgers in a ratio of 6:5.
The price ratio of a sandwich to a burger is 5:4. If the total number of sandwiches and burgers sold is 55 and the total revenue earned is Rs. 11,000, what is the price of one sandwich?Solution
ATQ,
Number of sandwiches sold = (6/11) × 55 = 30
Number of burgers sold = (5/11) × 55 = 25
Let, the price of a sandwich and a burger be Rs. 5x and Rs. 4x respectively.
According to the question,
5x × 30 + 4x × 25 = 11000
150x + 100x = 11000
250x = 11000
x = 11000/250
x = 44
Therefore, price of a sandwich = 5 × 44 = Rs.220
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