Question

A book bought for ₹248 is sold at a gain of 25%. Find the selling price

₹186

₹310

₹273

₹223​

Answer 1

Answer :-

• Option 2 is correct.
• The selling price of the book is Rs 310.

Given :-

• A book is bought for Rs 248.
• It is sold at a gain of 25%.

To find :-

• The selling price of the book.

Step-by-step explanation :-

• A book is bought for Rs 248, which means that the cost price of the book is Rs 248.

• It is sold at a gain of 25%.

• Profit and loss is always calculated on the cost price.

• Hence, to find the selling price of the book, we first have to find the gain, which can be done by calculating 25% of Rs 248 (Cost price).

Calculations :-

$\sf \implies25\% \: of \: 248$

• Converting 25% into fraction,

$\sf \implies \dfrac{25}{100} \times 248$

• Reducing the numbers,

$\sf \implies \dfrac{1}{1} \times 62$

• Now let's multiply the remaining numbers.

$\sf \implies 1 \times 62$

• Multiplying,

$\sf \implies 62.$

25% of 248 = 62.

So, a profit of Rs 62 was gained.

Now, we know that :-

$\underline{\fbox{\bf Selling Price = Cost Price + Profit.}}$

Here,

Cost price = Rs 248.

Profit = Rs 62.

Applying the given formula,

Selling price = Rs 248 + Rs 62 = Rs 310.