A shopkeeper allow s a cash discount of 12.5on a machine. A customer paus an amount of ₹437.50 for a machine. At what prices is the machine listed?
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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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