Answer :
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:
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 = [tex]\frac{8x}{6}[/tex] = [tex]\frac{4x}{3}[/tex]
Therefore, profit = S.P - C.P = y - x
Put y = [tex]\frac{4x}{3}[/tex] we get ,
⇒Profit = [tex]\frac{4x}{3} - x[/tex] = [tex]\frac{x}{3}[/tex]
Step 2:
From the gain percent formula we have ,
Gain % = [tex]\frac{Gain . 100}{C.P}[/tex]
⇒ Gain% = [tex]\frac{\frac{x}{3}.100 }{x}[/tex] = [tex]\frac{100}{3} = 33.33[/tex]%
Final answer:
Hence , the gain percent is 33.33%
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