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The list price of an article is 50% more...

The list price of an article is `50%` more than its original cost price. The shopkeeper allowed a discount of `20%` and charged a sales tax of `20%` on it. Finally, the buyer paid Rs.2880. What is the cost price of the article ?

A

Rs.2500

B

Rs.3500

C

Rs.3000

D

Rs.2000

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Assume the cost price as Rs. 100 and proceed.
(ii) Let the cost price be Rs. x, then
List price `=Rs.(3x)/(2)`
(iii) Price afetr discount `=Rs.(3x)/(2)(1-(20)/(100))` (iv) Selling price with tax
`=(3x)/(2)(1-(20)/(100))(+(20)/(100))=Rs.2880`.
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