Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
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.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.
