Question

A shopkeeper marked an article at ₹2400 by selling it at discount 10% the shopkeeper makes profit 8%,find selling price an article, cost price an article for the shopkeeper.​

Answer 1

Answer:

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%

Step-by-step explanation: