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,

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

Hence, number of customers and profit per week are in proportion but 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.