Question

If the cost price of 13 books is equal to the selling price of 12 books, find the profit percent.​

Answer 1

Step-by-step explanation:

Given :-

The cost price of 13 books is equal to the selling price of 12 books.

To find :-

Find the profit percent?

Solution :-

Given that

The cost price of 13 books is equal to the selling price of 12 books.

Let the cost price of a book be Rs. X

The cost price of 13 books = 13×x = Rs. 13X

Let the selling price of a book be Rs. Y

Selling Price of 12 books = 12×Y = Rs. 12Y

Therefore

Selling Price of 12 books = Rs. 13X

Since CP of 13 = SP of 12

=> 13X = 12Y

=>X/Y = 12/13

=> Y/X = 13/12

Let Y = 13a , and X = 12a

Where SP > CP

=> Gain = SP - CP

=> Gain = 13a-12a = a

Gain % = (Gain/CP) × 100

=>g% = (a/12a)×100

=> g% = 100a/12a

=> g% = 100/12

=>g % = 25/3 %

=> g% = 8 1/3 %

Answer:-

The profit percentage of the given problem is 25/4% or 8 1/3% or 8.13 %

Used formulae:-

• If SP > CP then gain occurs
• Gain = Selling Price - Cost Price
• Gain % = (Gain/CP) × 100