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Question
Due to a seasonal change the dealer increased the marked price of his goods by 20%. Sales tax of 5% was charged on the new price. The selling price of the goods was now Rs 6,048. Find the original marked price.
Solution
Let x be the original marked price.
New marked price= x+20 % of x = Rs x + `20/100 xx x = "Rs" (12 x)/10`
Sales tax = 5 % of the new price.
`= 5/100 xx "Rs" (12 x)/10`
`= "Rs" (60 x)/1000 = "Rs" (6 x)/100`
Therefore, total cost of goods = new marked price + sales tax
`= "Rs" (12 x)/10 + (6 x)/100`
`= "Rs" (126 x)/100`
But, total price =Rs 6,048
⇒ `(126 x)/100 = "Rs" 6048`
⇒ x = Rs `(6048 xx 100)/126`
⇒ x = Rs 4800
Hence, the original marked price of the gadget= Rs 4,800
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