Question

by selling 8 dozen pencils, a shopkeeper gains the selling price of one dozen pencils.find his gain per cent

Answer 1

8 dozen - 96
let 1 pencil be for re. 1
so 96 pencil is for96
12 pencil is for 12.
gain-12
CP : SP- gain
96- 12
84
gain percentage : gain/cp * 100
12/84*100
100/7 is the answer

Answer 2

The gain percentage is 14.28%

Step-by-step explanation:

When the selling price is more than the cost price, profit or gain will be there otherwise loss.

In the given problem, the shopkeeper gains the selling price of one dozen pencils which means his selling price is more than what he purchased.

Let the selling price at which the shopkeeper sold one pencil be x.

Then, the cost price of 8 dozen pencils = 8dozen - 1dozen = 7dozen = 7 $\times$ 12x = 84x

Selling price of pencils = 8dozen = 8 $\times$ 12x = 96x

Gain = Selling price - Cost price = 96x - 84x = 12x

As gain percentage is dependent on the cost at which the item is purchased initially.

$\text { Gain percentage }=\frac{\text { Gain }}{\text { Cost price }} \times 100$

$=\frac{12 x}{84 x} \times 100$

$=\frac{12}{84} \times 100$

$=\frac{100}{7}$

$\therefore \text { Gain percentage }=14.28 \%$