Math, asked by alligation622, 9 months ago

A shopkeeper buys an article at discount of rs 20%on the list price,the shopkeeper marked up the list price by 10%a buyer pays 231rs to get after paying gst on it 5%find profit percentage

Answers

Answered by Anonymous
2

Let the list price of the article is=Rs.x

Rebate=20% on list price

Shopkeeper buys an article for Rs.2400 from wholesaler at rebate 20% on list price

∴x−20%ofx=2400

⇒x−

100

20x

=2400

100

80x

=2400

⇒x=

80

2400×100

=Rs.3000

Shopkeeper raised the list price 10% then marked-up price=3000+10%of3000

⇒3000+

100

10

×3000

⇒3000+300=Rs.3300

(i)Rate of sales tax

shopkeeper sell the article Rs.3498 including sales tax on marked-up price

Let the rate of sales tax is y%

∴3300+y%of3300=3498

⇒3300+

100

y

×3300=3498

⇒33y=3498=3300

⇒33y=198

⇒y=

33

198

=6%

(ii)Shopkeeper's profit percent

Shopkeeper buys the article=Rs.2400

He sell the article=Rs.3300

Profit=3300−2400=Rs.900

Profit %=

2400

900

×100=37.5%

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