Answer

Verified

421.2k+ views

**Hint:**Here, we have to evaluate the selling price. The selling price is given as SP = CP – Loss. So, firstly we have to find the loss. In order to find the loss, we will apply the formula, \[\text{Loss}=\dfrac{\text{Loss Percent}\times CP}{100}.\]

**Complete step-by-step solution:**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.

**Hence, option (b) is the right answer.**

**Note:**We have to first convert loss % into the actual loss and then have to find the selling price. Students should not subtract loss % from cost price directly like SP = 275 – 15 = 260. This the wrong method.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How many crores make 10 million class 7 maths CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE