Question

Amina buys a book for ₹275 and sells it at a loss of 15%. How much did she sell it for?

Answer 1

• Amina sells book for ₹233.75 .

Step-by-step explanation:

Given:-

• Cost price of book is ₹275.
• Loss percent is 15%.

To find:-

• In how many sum of rupees Amina sells the book or we can say selling price of book.

Solution:-

We know,

Loss = Cost price - Selling price

• Loss is the price we expend more than selling price of something.

• Selling price is the price by which something is sold.

• Cost price is the original price or we can say normal price of something.

So,

$\longrightarrow$ 275 - S.P

[Here, S.P is Selling price]

Loss is 275 - S.P

$\boxed{\sf \bold{Loss \: percent = \dfrac{Loss}{C.P} \times 100}}$

[Here, C.P is Cost price]

Put, C.P, loss and loss percent in formula:

$\longrightarrow$ 15 = (275 - S.P)/275 × 100

$\longrightarrow$ 15 × 275 = (275 - S.P) × 100

$\longrightarrow$ 4125 = (275 - S.P) × 100

$\longrightarrow$ 4125/100 = 275 - S.P

$\longrightarrow$ 41.25 = 275 - S.P

$\longrightarrow$ 41.25 + S.P = 275

$\longrightarrow$ S.P = 275 - 41.25

$\sf \longrightarrow \purple{\boxed{\sf \bold{S.P = 233.75}}\star}$

Therefore,

Selling price of book is ₹233.75 .

Answer 2

Given :-

• Cost price of book is ₹275.
• Loss percent is 15%.

To Find :-

SP of book

Solution :-

${\huge {\mapsto {\fbox {\underline {loss \: = cp - sp}}}}}$

➞ Loss = 275 - SP

➞ Loss = 275 - SP

$\huge \bf \: loss\% = \frac{loss}{SP} \times 100$

$\sf \implies \: loss\% = \dfrac{275 - SP}{275} \times 100$

$\sf \implies15 \times 275 = (275 - SP) \times 100$

$\sf \implies4125 = (275 - SP) \times 100$

$\sf \implies \: \dfrac{4125}{100} = 275 - SP$

$\sf \implies 41.25 = 275 - SP$

$\sf \implies 41.25 - 275 = SP$

${\huge {\fbox {SP\: = 233.75}}} \bigstar$