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Question

The marked price (mp) of a double bed is Rs.9,575. A shopkeeper allows a discount of 12% and still gains 10%. Find the cost price (Cp) of the double bed.

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Solution

Given, marked price of an double= Rs. 9575
Discount % = 12%
But it makes a profit of 10%.
Let the cost price of the article be Rs.x
Selling price after 12% discount =957512100×9575


=9575 - 1149 = Rs. 8426


According to the question,

(100 + 10)% of cost price =selling price after 12% discount

(100 + 10)% of x = 8426





110100×x=8426









x=8426×100110

=7660
Hence, cost price of an article is Rs. 7660

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