Question

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➙ A shopkeeper allows a cash discount of 12.5% on a watch a costumer pays an amount of rs. 437.50 for the watch . at what price was the watch listed ?

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Answer 1

Answer:

Let the listed price of machine be x, then 

Let the listed price of machine be x, then x - 12.5% of x = 437.50

Let the listed price of machine be x, then x - 12.5% of x = 437.50⇒ x - 12.5x/100 = 437.50

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

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

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

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

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

Answer 2

Answer:

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

Step-by-step explanation: