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A shopkeeper buys a watch for Rs 2,500 and marks up its price. A customer buys the watch for Rs 3,300 which includes a sales tax of 10% on the marked up price. - Mathematics

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प्रश्न

A shopkeeper buys a watch for Rs 2,500 and marks up its price. A customer buys the watch for Rs 3,300 which includes a sales tax of 10% on the marked up price. Find the mark-up percentage on the price of the watch. Also, find his profit percentage.

बेरीज

उत्तर

Let marked up price be x

Cost of the watch =Rs (2,500 + x)

Sales tax = 10 % of the marked up price 

=`10/100 xx` Rs (2500 + x)

= Rs `(2500 + x)/10`

Total cost = 

= Rs (2500 + x) + `(2500 + x)/10`

= `(25000 + 10  x + 2500 + x)/10`

= `(27500 + 11  x)/10`

But total cost = 3,300 

⇒ `(27500 + 11 x)/10` = Rs 3300

⇒  27,500 + 11 x =  Rs 33,000 

⇒  11 x = Rs 5,500 

⇒ x = Rs 500

Increase in price = Rs 500

Percentage increase in mark up price

= `500/2500 xx 100 = 20 %`

Hence, percentage increase in mark up price = 20 % 

His profit = (increased price - cost price)

=Rs (3,000 - 2,500) = Rs 500 

His profit percentage = `500/2500 xx 100 = 20 %`

Hence, his profit percentage = 20 %

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पाठ 2: Sales Tax and Value Added Tax - Exercise 2.1 [पृष्ठ ३५]

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 2 Sales Tax and Value Added Tax
Exercise 2.1 | Q 31 | पृष्ठ ३५

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