Question

A shopkeeper allows a cash discount of 12.5% on a machine. a customer pays and amount of rupees 43 7.50 for a machine. at what price is the machine listed

Answer 1

SP = MP - D

437.50 = MP - (0.125 * MP)

0.875 MP = 437.50

MP = 500

so the listed price was 500

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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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