Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Given:
An item was sold at a loss of 20%.
If the item is sol for Rs. 50 more then, the profit would have been 5%.
To find:
The cost price of the item.
Solution:
Let x be the cost price of the item.
The item was sold at a loss of 20%. Then selling selling price is:
[tex]S.P.=x-\dfrac{20}{100}x[/tex]
[tex]S.P.=x-0.2x[/tex]
[tex]S.P.=0.8x[/tex]
If a the item is sold for 5% profit, then the selling price is:
[tex]S.P.=x+\dfrac{5}{100}x[/tex]
[tex]S.P.=x+0.05x[/tex]
[tex]S.P.=1.05x[/tex]
It is given that, if the item is sol for Rs. 50 more then, the profit would have been 5%. So,
[tex]0.8x+50=1.05x[/tex]
[tex]50=1.05x-0.8x[/tex]
[tex]50=0.25x[/tex]
Divide both sides by 0.25.
[tex]\dfrac{50}{0.25}=x[/tex]
[tex]200=x[/tex]
Therefore, the cost price of the item is Rs. 200.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.