Question

By selling a book for Rs. 483, Dhurba makes a loss of 8% What is the cost price of the book? At what price should it be sold to gain 4%?​

Answer 1

To answer this question, we need to understand the basic concepts of profit and loss in business transactions. Profit or loss is always calculated on the cost price of an item. If the selling price is more than the cost price, it's a profit. If the selling price is less than the cost price, it's a loss.

In this case, Dhurba sells a book for Rs. 483 and incurs a loss of 8%. This means that Rs. 483 is 92% of the cost price (since 100% - 8% = 92%). We can represent this relationship mathematically as:

483 = 0.92 * Cost Price

To find the cost price, we divide both sides of the equation by 0.92:

Cost Price = 483 / 0.92

After performing this calculation, we find that the cost price of the book is approximately Rs. 525.

So, the cost price of the book is Rs. 525.

Now, to find out at what price Dhurba should sell the book to gain a profit of 4%, we need to calculate what is 104% of the cost price (since 100% + 4% = 104%). We can represent this relationship mathematically as:

Selling Price = 1.04 * Cost Price

Substituting the value of Cost Price that we calculated earlier:

Selling Price = 1.04 * 525

After performing this calculation, we find that to gain a profit of 4%, Dhurba should sell the book for approximately Rs. 546.

So, to gain a profit of 4%, Dhurba should sell the book for Rs. 546.

Answer 2

Rs 546

Explanation:

Solution Given:

Selling price = Rs. 483

Loss = 8%

• Find the cost price of the book.

We can use the formula to find the cost price:

Cost price = Selling price+loss % of cost price

Cost price- loss % of cost price=Selling price

Cost price(1-8%)=483

Cost price*0.92=483

Cost price=483/0.92

Cost price = Rs 525

Therefore the cost price is Rs 525.

• Find the selling price to gain 4%.

Cost price = Rs. 525

Gain = 4%

We can use the formula to find the new selling price:

Selling price = cost price+ gain% of cost price

Selling price=525+4% *525

Selling price =Rs 546

Therefore, the cost price of the book is Rs. 525 and the selling price to gain 4% is Rs. 546.