Question

The cost price of 8 books is equal to the selling price of 6 books. Find the gain percent

Answer 1

Let the cost price of 1 book = Rs 1 
Cost of 6 books = Rs 6

Selling price of 6 books = 8

Gain = 8 - 6 = 2

Gain % = gain/cost × 100
           = 2/6 × 100
           = 33.3333333333 %

Answer 2

Answer:

33.33 is the required gain percent

Step-by-step explanation:

Explanation :

Given , cost price of 8 books = selling price of 6 books

Let cost price of one book be x

And let Selling price be y

Therefore C.P of 8 books = Rs 8x

and S.P of 6 books = 6y

Step 1:

Now according to the question

C.P of 8 books = S.P of 6 books

⇒ 8x = 6y

⇒ y = $\frac{8x}{6}$    = $\frac{4x}{3}$  

Therefore,  profit  = S.P - C.P = y - x

Put y = $\frac{4x}{3}$ we get ,

⇒Profit = $\frac{4x}{3} - x$ = $\frac{x}{3}$

Step 2:

From the gain percent formula we have ,

Gain % = $\frac{Gain . 100}{C.P}$

⇒ Gain% =  $\frac{\frac{x}{3}.100 }{x}$ =  $\frac{100}{3} = 33.33$%

Final answer:

Hence , the gain percent is 33.33%

#SPJ2