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Question
A shopkeeper buys an article at a discount of 30% and pays sales tax at the rate of 6%. The shopkeeper sells the article to a consumer at 10% discount on the list price and charges sales tax at the’ same rate. If the list price of the article is ₹3000, find the price inclusive of sales tax paid by the shopkeeper.
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Solution
List price of an article = ₹3000
Rate of discount = 30%
and rate of S.T. = 6%
Total discount
= `₹3000 xx (30)/(100)` = ₹900
∴ S.P. of manufactures or
C.P. of the shopkeeper
= ₹3000 - ₹900
= ₹2100
S.T. = `₹2100 xx (6)/(100)` = ₹126
Rebate given to consumer = 10%
and C.P. of the consumer
= `₹(3000 xx (100 - 10))/(100)`
= `₹(3000 xx 90)/(100)`
= ₹2700
(i) S.T. paid by shopkeeper = ₹126
Total cost pre of the shopkeeper
= ₹2100 + 126
= ₹2226
(ii) S.T. for consumer
= `2700 xx (6)/(100)`
= ₹162
∴ Total cost price paid by the consumer
= ₹2700 + ₹162
= ₹2862
(iii) VAT paid by the shopkeeper
= ₹162 - ₹126
= ₹36.
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