Question

The cost of 8 pencils is equal to the selling price of 7 pencils. Find the gain percen​

Answer 1

Answer:

14.3% ( approx )

Explanation:

Let cost price of 1 pencil = x

Cost price of 8 pencil = 8x

Given that,

CP of 8 pencil = SP of 7 pencil

SP of 7 pencil = 8x

SP of 1 pencil = 8x/7

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$\boxed{\rm\bold{ Gain = SP- CP}}$

$\rm Gain = \dfrac{8x}{7}-x$

$\rm Gain = \dfrac{8x-7x}{7}$

$\rm Gain = \dfrac{x}{7}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\boxed{\rm \bold{Gain\% = \dfrac{gain}{CP}\times100}}$

$\rm Gain\% = \dfrac{x}{7\times x}\times100$

$\rm Gain\% = \dfrac{1}{7}\times 100$

$\rm Gain\% = 14.3\%$

14.3% is the approx gain.

Answer 2

Question ::-

The cost of 8 pencils is equal to the selling price of 7 pencils. Find the gain percent ?

Given ::-

• Cost of 8 pencil = selling price of 7 pencil.

Solution ::-

${\boxed{\large{\bold{CP\: of \:7\: pencil\: =\: Sp \:of \:8 \: pencils}}}}$

Let the cost of 1 pencil = x

As same cost of 8 pencils = 8x

Sp of 7 pencil = 8x

Sp of 1 pencil = $\dfrac{8x}{7}$

___________

Gain = selling price - Cost price

G = $\dfrac{8x}{7}$ - x

G = $\dfrac{8x-7x}{7}$

G = $\dfrac{x}{7}$

________

Gain% = $\dfrac{gain}{CP}×100$

G % = $\dfrac{x}{7×x}×100$

G % = $\dfrac{1}{7}×100$

G % = $14.3%$