Question

A person buys some pencils at 5 for a rupee and sells them at 3 for a rupee. His gain
percent will be :​

Answer 1

Answer:

His gain percent will be: 66⅔%

Answer 2

Given:

A person buys some pencils at 5 for a rupee and sells them at 3 for a rupee. His gain% will be?

To find:

His gain% will be?

Solution:

The cost price of 5 pencils = Re. 1

∴ The cost price of 1 pencil = Rs. $\frac{1}{5}$

The selling price of 3 pencils = Re. 1

∴ The selling price of 1 pencil = Rs. $\frac{1}{3}$

We know,

$\boxed{\bold{Gain\% = \frac{Gain}{C.P.}\times 100 = \frac{S.P. - C.P.}{C.P.}\times 100 }}$

Therefore,

His gain percentage will be,

= $\frac{\frac{1}{3} - \frac{1}{5} }{\frac{1}{5} } \times 100$

= $\frac{\frac{5 - 3}{15} }{\frac{1}{5} } \times 100$

= $\frac{2}{15} \times 5 \times 100$

= $\frac{2}{3} \times 100$

= $\frac{200}{3}$

= $\bold{66\frac{2}{3} \%}$

Thus, His gain percentage will be → $\underline{\bold{66\frac{2}{3} \%}}$.

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Also View:

A man bought pencils at the rate of 6 for Rs 4 and sold them at the rate of 4 for Rs 6. his gain % in the transaction?

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