Questions & Answers

Question

Answers

A. Rs.222.50

B. Rs.267

C. Rs.222

D. Rs.220

Answer

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Now if we say that we sell it on 11% profit it means that our selling price will be $ x+\dfrac{11}{100}x $

And if we say that we sell it on 11% loss it means that our selling price will be $ x-\dfrac{11}{100}x $

First scenario, we sold for 178Rs at a loss of 11%, we can write this in mathematical form as

\[x-\dfrac{11}{100}x=178\]

\[\to \dfrac{100-11}{100}x=178\]

On further solving we get

\[\to \dfrac{89}{100}x=178\]

\[\to x=200\]

So the Actual price of the article is 200Rs.

Second scenario, to find the selling price if we sell it at 11% profit, we can write this in mathematical form as

Assuming our selling price as \[a\].

\[x+\dfrac{11}{100}x=a.......(2)\].

\[\to \dfrac{(100+11) x}{100} =a\]

\[\to \dfrac{(111) x}{100}=a..........(3)\]

Now to calculate the value of \[a\] we have to put the value of \[x\] in equation (3).

On putting \[x=200\] in equation (3) we get our equation as

\[\dfrac{111(200)}{100}=a\]

Which on solving gives \[a=222\]

Conclusion, actual value of article is Rs 200 after selling it on 11% loss it becomes Rs 178 and on selling it on 11% profit it becomes Rs 222.