A retailer buys a Panjabi and a Fatua jointly at Tk. 500. If he sells the Fatua at 10% profit and the panjabi at 5% loss , then he gets, Tk. 520 as total sales price. What is the cost price of the Fatua?

A retailer buys a Panjabi and a Fatua jointly at Tk. 500. If he sells the Fatua at 10% profit and the panjabi at 5% loss , then he gets, Tk. 520 as total sales price. What is the cost price of the Fatua? Correct Answer Tk. 300

Let the cost price of the Fatua and the Panjabi be F and (500 - F) respectively. Now, total sales price,  F + 10% of F + (500 - F) - 5% of (500 - F) = 520  or,  F + 10/100 F + 500 - F  - 5/100 of 500 + 5/100 of F = 520 or,  F/10 + F/20 = 520 + 25 - 500 or,  3F/20 = 45 or,  F = 45 x 20 / 3 =  300 TK
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