CAT 2002 — QA Question 43
Answer the following question based on the information given below.
There are 11 alphabets A, H, I, M, O, T, U, V, W, X, Y. They are called symmetrical alphabets. The remaining alphabets are known as asymmetrical alphabets.
Davji shop sells samosas in boxes of different sizes. The samosas are priced at Rs. 2 per samosa upto 200 samosas. For every additional 20 samosas, the price of the whole lot goes down by 10 paisa per samosa. What should be the maximum size of the box that would maximize the revenue?
Answer & solution
- A
240
300
- C
400
- D
None of these
Consider that N extra packets of 20 samosas each are bought.
∴ Total cost, C = (200 + 20N) × (2 – 0.1N)
= 400 − 20N + 40N − 2N2
= 400 + 20N − 2N2
Maxima (C) = 20 − 4N = 0
∴ N = 5
∴ Revenue will be maximum at N = 5
∴ Total number of samosas = 200 + 20(5) = 300
Hence, option (b).