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Question
A tradesman sold and article at a loss of 20% . If the selling price had been increased by Tk. 100 . there would have been a gain of 5% . what was the cost price of the article ?
TK. 400
TK. 500
TK. 550
Tk. 600
ANSWER : 1
Descrption
<pre>Let cost price be Tk.x then, (105% of x) - (80% of x ) = 100 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mfrac><mrow><mn>25</mn><mi>x</mi></mrow><mn>100</mn></mfrac></math> = 100 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mfrac><mi>x</mi><mn>4</mn></mfrac><mo> = </mo><mn>100</mn></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> x = 400 So, cost price = Tk. 400 </pre>
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