Question

A club offers two memberships. One for
$\$$120 and charges a cost of $\$$20 for every visit. Other membership costs $\$$180 and charges a cost of $\$$5 for every visit. At the end of the month, both memberships get the same amount of money. Find the amount they got if y indicates the total charge and x indicates the number of visits.

• A. $180
• B. $200
• C. $400
• D. $360

Answer 1

The correct option is B $200

Given,
x indicates number of visits and y indicates total charge.

For Membership 1,

y = 120 + 20x-----(1)

For Membership 2,

y = 180 + 5x----- (2)

Equate both the equations (1) and (2) since both charge equal amount

120 + 20x = 180 + 5x

$⟹$ 20x - 5x = 180 - 120

$⟹$ 15x = 60

$⟹\text{x}=\frac{60}{15}$

$⟹$x = 4

Substitute the value of x in equation (1), we get,

y = 120 + 20(4)

$⟹$ y = 120 + 80

$⟹$ y = ₹200

$\therefore$ The total charge is ₹200.