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(a) Rs. 230

(b) Rs. 233.75

(c) Rs. 240

(d) Rs. 245

Answer

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We are given that Amina buys a book for Rs. 275, i.e. the mean cost price of the book is Rs. 275.

\[C.P=275.......\left( i \right)\]

She made a loss of 15 %.

\[\text{Loss Percent}=15.......\left( ii \right)\]

We know that,

\[\text{Loss Percent}=\dfrac{\text{Loss }}{CP}\times 100\]

From this, we get,

\[\text{Loss}=\dfrac{\text{Loss Percent}\times CP}{100}.........\left( iii \right)\]

Now, we will use the value of the CP and Loss Percent from (i) and (ii) respectively into (iii) to get the actual loss.

\[\text{Loss}=\dfrac{\text{Loss Percent}\times CP}{100}\]

Putting the values from (i) and (ii), we get,

\[Loss=\dfrac{15\times 275}{100}\]

\[\Rightarrow Loss=\dfrac{4125}{100}\]

\[\Rightarrow Loss=41.25\]

So, we get the loss taken by Amina as 41.25.

Now, we will find the selling price (S.P). We know that the selling price and loss are related as Loss = CP – SP.

From here, we get,

\[SP=CP-Loss\]

From earlier, we have CP = 275 and Loss = 41.25.

So putting these values, we get,

\[SP=CP-Loss\]

\[\Rightarrow SP=275-41.25\]

\[\Rightarrow SP=233.75\]

Therefore, Amina sells a book for Rs. 233.75.