Question

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

Answer 1

Correct Answer - 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`.