a shopkeeper buys an article whose list price is 800 at some rate of discount from a wholesaler.he sells the article to a consumer at the list price and charges sales tax at the prescribed rate of 7•5% .if the shopkeeper has to pay VAT of rs 6 .find the rate of discount at which he bought the article from the wholesaler
Answers
The rate of discount at which the shopkeeper bought the article from the wholesaler is Rs. 80.
Step-by-step explanation:
Step 1:
The list price of the article = Rs. 800
Let the discount at which the shopkeeper buys the article from the wholesaler be “x”.
So, the cost price of the article = Rs. (800 - x)
It is given that the shopkeeper sells the article at the list price i.e.,
The S.P. of the article now will be = Rs. 800
Therefore, we get
Profit = SP – CP = 800 - (800 - x) = Rs. x
Hence the profit = discount = Rs. x …. (i)
Step 2:
Also given,
The prescribed rate of sales tax = 7.5%
The VAT paid by the shopkeeper= Rs. 6
From eq. (i), we can conclude that the VAT paid by him must be equal to the rate of sales tax i.e.,
* x = 6
⇒ x =
⇒ x =
⇒ x = Rs. 80
Thus, the rate of discount at which the shopkeeper got from the wholesaler is Rs. 80.
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