Question

a shopkeeper allows a cash discount of 12.5%on a machine. a customer an amount of Rs.437.50for a machine.at what price is the machine listed.

Answer 1

Hi ,

Discount ( d ) = 12.5 %

List price = l.p

Selling price = s.p = 437.50

We know that ,

list price = ( s.p × 100 ) / ( 100 - d )

= ( 437.50 × 100 ) / ( 100 - 12.5 )

= 43750 / 87.5

= 500

Therefore ,

List price of the machine = Rs 500

I hope this helps you.

:)

Answer 2

Let the listed price of machine be x, then  

x - 12.5% of x = 437.50

⇒ x - 12.5x/100 = 437.50

⇒ (100x - 12.5x)/100 = 437.50

⇒ 87.5x = 437.50 × 100

⇒ 87.5x = 43750

⇒ x = 43750/87.5 = 500

∴ The listed price of machine is Rs. 500

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