The profit in rupees in a local restaurant and the number of customers who visited the restaurant are tabulated below for each week for one month.

Week number	Week 1	Week 2	Week 3	Week 4
Number of customers	1400	5600	x	3212
Profit in ₹	28000	112000	32140	y

Find :

(a) if the number of customers and profit per week in continued proportion or not? Justify your answer.

(b) the value of x and y.

(a) Since,

$\dfrac{1400}{28000} = \dfrac{5600}{112000} = \dfrac{1}{20}$.

Thus, number of customers and profit per week are in direct proportion not in continued proportion.

Hence, number of customers and profit per week are not in continued proportion.

(b) As,

Number of customers and profit per week are in proportion.

$\therefore \dfrac{x}{32140} = \dfrac{1}{20} \\[1em] \Rightarrow x = 32140 \times \dfrac{1}{20} = 1607 \\[1em]$

and

$\therefore \dfrac{3212}{y} = \dfrac{1}{20} \\[1em] \Rightarrow y = 3212 \times 20 = 64240.$

Hence, x = 1607 and y = 64240.