An article was sold at Rs 18000 at a discount of 10%. Find the marked price of the article and the amount of discount allowed.​

2 thoughts on “An article was sold at Rs 18000 at a discount of 10%. Find the marked price of the article and the amount of discount allowed.​”

1. Answer:

   The Marked Price of the article is Rs. 20,000 and discount allowed was of Rs. 2,000.

   Step-by-step explanation:

   Solution :

   Article was sold at = Rs. 18,000

   At Discount = 10%

   Marked Price = ??

   ★ Finding the Marked price :

   Using the formula :

   [tex]\boxed{\rm{MP = \dfrac{(100 \times SP)}{(100 – Discount \: \%)}}}[/tex]

   • SP = 18,000
   • Discount % = 10

   [tex]\longrightarrow{\rm{MP = \dfrac{(100 \times 18,000)}{(100 – 10)}}}[/tex]

   [tex]\longrightarrow{\rm{\rm{MP = \dfrac{18,00,000}{90}}}}[/tex]

   [tex]\longrightarrow{\rm{\rm{MP = \dfrac{1,80,000}{9}}}}[/tex]

   [tex]\longrightarrow{\rm{\rm{MP = 20,000}}}[/tex]

   Marked Price = Rs. 20,000

   _____________________

   ★ Amount of discount allowed =

   [tex]\longrightarrow{\rm{Discount = (MP – SP)}}[/tex]

   • MP = 20,000
   • SP = 18,000

   [tex]\longrightarrow{\rm{Discount =20,000 – 18,000}}[/tex]

   [tex]\longrightarrow{\rm{Discount =2,000}}[/tex]

   Discount allowed = Rs. 2,000

   Therefore, the Marked Price of the article is Rs. 20,000 and discount allowed was of Rs. 2,000.

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2. Answer:

   19800

   Step-by-step explanation:

   18000*10/100

   1800*1/1

   therefore 1800

   18000+1800 = 19800

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