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प्रश्न
A shopkeeper marked the list price of a mobile phone 16% above his cost price. Sales tax on the mobile was charged at 12%. Rahul paid Rs 29,232 for the mobile. Find the cost price of the mobile.
उत्तर
Let x be the cost price.
List Price = x + 16 % of x = Rs x + `16/100 xx x = "Rs" (116 x)/100`
Sales tax = 12 % of the list price.
=`12/100 xx "Rs" (116 x)/100`
= Rs `(1392 x)/10000`
Therefore, total cost of mobile = list price + sales tax
= Rs `(116 x)/100 + (1392 x)/10000`
= Rs `(12992 x)/10000`
But, total price =Rs 29,232
⇒ `(12992 x)/10000` = Rs 29232
⇒ x = Rs `(29232 xx 10000)/12992`
⇒ x = Rs 22, 500
Hence, the cost price of the mobile =Rs 22,500
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