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Ritwik Bhattacharyya

· started a discussion

· 1 Months ago

ka Ramayan kahe banaya h? (Question:227869.0)

20 ---> 30
100----> 150

Question:
A shopkeeper gives 10% discount on printed price of a certain article and yet he earns 20% profit. If this profit is \(\unicode{x20B9} \)30. What is the cost price of article?
Options:
A) \(\unicode{x20B9} \)200
B) \(\unicode{x20B9} \)50
C) \(\unicode{x20B9} \)100
D) \(\unicode{x20B9} \)150
Solution:
Let printed price = x 

then S.P= \(x-x*{10\over 100}\)

            = \(x-{x\over 10}\)

S.P = \({9x\over 10}\)

Profit % = 20%

therefore C.P= \(S.P*{100\over 100+Profit \%}\)

                   = \({9x\over 10}*{100\over 100+20}\)

                   =\({900x\over 1200}\)

C.P = \({9x\over 12}\)

C.P = \({3x\over 4}\)

Given, profit = \(\unicode{x20B9} \)30

S.P - C.P = 30

\({9x\over 10}-{3x\over 4}=30\)

\({36x-30x\over 40}=30\)

\({6x\over 40}=30\)

x=\(\unicode{x20B9} \)200 

then C.P = \({3x\over 4}\)

             = \({3\over 4}*200\)

C.P = \(\unicode{x20B9} \)150 

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