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. Hence find:

i) the marked price when a customer gets a discount of ₹3250 (from graph)

ii) the discount when the marked price is ₹2500(from graph)
the discount when the marked price is ₹2500.

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Solution

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 the items for their customer $x = y \times \frac{50}{100} x = y \times \frac{1}{2} y = 2 x w h i c h i s t h e r e q u i r e d r e l a t i o n s h i p b e t w e e n t h e m a r k e d p r i c e a n d t h e d i s c o u n t i . W e m u s t f i n d t h e t h e m a r k e d p r i c e w h e n a c u s t o m e r g e t s a d i s c o u n t o f R s . 3250 A s t h e d i s c o u n t i s R s . 3250, i n t h e g r a p h i t r e p r e s e n t s t h e p o i n t F (3250, 0) I f w e d r a w a l i n e p a r a l l e l t o Y a x i s p a s sin g t h r o u g h t h e p o i n t F (3250, 0) T h e n i t I n t e r s e c t s t h e l i n e y - 2 x a t B (3250, 6500) i i . W e m u s t f i n d t h e d i s c o u n t w h e n t h e m a r k e d p r i c e i s R s . 2500 A s m a r k e d p r i c e i s R s . 2500, i n t h e g r a p h i t r e p r e s e n t t h e p o i n t C (0, 2500) I f w e d r a w a l i n e p a r a l l e l t o X a x i s a n d p a s sin g t h r o u g h t h e P o i n t C (0, 2500) T h e n i t i n t e r s e c t s t h e l i n e y = 2 x a t B (1250, 2500) A c c o r d i n g l y, w e g e t t h e p o i n t B (1250, 2500) H e n c e t h e d i s c o u n t = 1250$

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