Question

By selling a book for 150, a person gains 20%. At what price should he sell it so as to gain 25%?​

Answer 1

Let the original cost of the book be x.

The person sells the book for 150 and gains 20%, which means the selling price is 120% of the original cost:
150 = 1.2x

To find the selling price that would give the person a 25% gain, we need to calculate the new selling price that is 125% of the original cost:
Selling price = 1.25x

Substituting the value of x from the first equation into the second equation, we get:

Selling price = 1.25 (150/1.2)
Selling price = 156.25

Therefore, the person should sell the book for 156.25 to gain 25%

Answer 2

156.25

Explanation:

What is a percentage?

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To find the original price that the person bought the book, we can use this equation:

• 100% + 20% = 150
• 120% = 150
• 1% =
  `(150)/(120)` = 1.25

So, the person bought the book for 125.

To solve for how much the person would need to sell it for to gain a 25% profit, we can use this equation:

• 125 × 1.25 = 156.25

Therefore, to gain a %25 profit the person would need to resell the book at 156.25.