Answer:
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.