Question

A dealler alwos a discount of 20 percent and steal gain 20 percent.find the marked price of an article which cost the dealler​

Answer 1

Complete Question :

A dealer allows a discount of 20% and still gains 20%. Find the marked price of an article which costs the dealer Rs. 720.

AnswEr :

• Cost Price ( CP ) = Rs. 720
• Discount% = 20%
• Gain% = 20%
• Marked Price ( MP ) = ?

• We know the Formula of SP :

⇒ SP = CP × ( 100 + Gain% ) /100

⇒ SP = 720 × ( 100 + 20 ) /100

⇒ SP = 720 × 120 /100

⇒ SP = 72 × 12

⇒ SP = Rs. 864

• We know the Formula of MP :

⇒ SP = MP × ( 100 - Discount% ) /100

⇒ 864 = MP × ( 100 - 20 ) /100

⇒ 864 = MP × 80 /100

⇒ 108 = MP × 1 /10

⇒ MP = 108 × 10

⇒ MP = Rs. 1080

჻ Marked Price of article is Rs. 1080

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• Shortcut Trick to Solve this Question :

⇒ MP = ( CP × 1st Event ) /2nd Event

⇒ MP = ( 720 × ( 100 + 20 )) /( 100 - 20 )

⇒ MP = 720 × 120 /80

⇒ MP = 9 × 120

⇒ MP = Rs. 1080

჻ Marked Price of Article is Rs. 1080