Question

1. A garment shop announces a flat 50% discount on every purchase of items for their
customers. Draw the graph for the relation between the Marked Price and the Discount.
(1) the marked price when a customer gets a discount of 3250 (from graph)
(ii) the discount when the marked price is 2500
Hence find​

Answer 1

SOLUTION

GIVEN

A garment shop announces a flat 50% discount on every purchase of items for their customers.

What to do :

Draw the graph for the relation between the Marked Price and the Discount.

(1) The marked price when a customer gets a discount of 3250 (from graph)

(2) The discount when the marked price is 2500

EVALUATION

Let y be the marked price of an item and x be the discount on that item

Now it is given that the garment shop announces a flat 50% discount on every purchase of items for their customers

$\displaystyle \sf{ \implies \: x = y \times \frac{50}{100} }$

$\displaystyle \sf{ \implies \: x = y \times \frac{1}{2} }$

$\displaystyle \sf{ \implies \: y = 2x }$

Which is the required relationship between the Marked Price and the Discount.

Graph : For graph refer to the attachment

(1) We have to find the marked price when a customer gets a discount of 3250

As discount is 3250

In the graph is represent the point F ( 3250, 0)

If we draw a line parallel to Y axis and passing through the point F( 3250, 0) then it intersects the line y = 2x at B( 3250 , 6500)

Accordingly we get the point A ( 3250, 6500)

Hence the Marked Price = 6500

Manually it can be checked

As discount is 3250

x = 3250

So y = 2 × 3250 = 6500

(2) We have to find the discount when the marked price is 2500

As marked price is 2500

In graph it represent the point C( 0, 2500)

If we draw a line parallel to X axis and passing through the point C( 0, 2500) then it intersects the line y = 2x at B( 1250 , 2500)

Accordingly we get the point B( 1250 , 2500)

Hence the discount = 1250

Manually it can be checked

As marked price is 2500

y = 2500

So x = 2500 ÷ 2 = 1250

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Answer 2

Answer:

the discount when the marked price is 2500

Hence find